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author | prashantsinalkar | 2020-04-14 10:19:27 +0530 |
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committer | prashantsinalkar | 2020-04-14 10:23:54 +0530 |
commit | 476705d693c7122d34f9b049fa79b935405c9b49 (patch) | |
tree | 2b1df110e24ff0174830d7f825f43ff1c134d1af /Surveying_Volume_3_by_A_K_Arora | |
parent | abb52650288b08a680335531742a7126ad0fb846 (diff) | |
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diff --git a/Surveying_Volume_3_by_A_K_Arora/1-Electronic_Distance_Measurement.ipynb b/Surveying_Volume_3_by_A_K_Arora/1-Electronic_Distance_Measurement.ipynb new file mode 100644 index 0000000..768dedd --- /dev/null +++ b/Surveying_Volume_3_by_A_K_Arora/1-Electronic_Distance_Measurement.ipynb @@ -0,0 +1,134 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 1: Electronic Distance Measurement" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.1: 1.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"T=273+25.0;//temperature in K\n", +"p=752.0;//pressure mm Hg\n", +"No=294.0e-6;\n", +"ns=1.000284;\n", +"D1=1438.254;//recorded distance in m\n", +"h=263.42-243.25;//height difference in m\n", +"R=6370e3;//radius of earth in m\n", +"//calculation\n", +"n=1+No*(273/T)*(p/760);\n", +"D=D1*ns/n;\n", +"cg=-h**2/2/D;\n", +"Hm=263.42/2+243.25/2;\n", +"D=D+cg;\n", +"ch=-D*Hm/R\n", +"EL=D+ch;\n", +"disp(EL,'equivalent length in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.2: 2.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"T=273+18.8;//temperature in K\n", +"p=713;//pressure mm of Hg\n", +"e=3;//vapour pressure mm of Hg\n", +"c=299792.5e3;//speed of light in km/s\n", +"f=11e6;//frequency in Hz\n", +"//calculation\n", +"n=1+(103.49/T*(p-e)+86.26/T*(1+5748.0/T)*e)/1e6;\n", +"V=c/n;\n", +"l=V/f;\n", +"disp(l,'wavelenght of light in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.3: 3.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"T=273.0+30.0;//temperature in K\n", +"l=0.85;//wavelength in m\n", +"p=752.4;//pressure mm of Hg\n", +"c=299792.5e3;//speed of light in km/s\n", +"f=24e6;//frequency in Hz\n", +"//calculation\n", +"no=1+(287.604+4.8864/l**2+0.068/l**4)/1e6;\n", +"ns=1+(no-1)*273/T*p/760;\n", +"V=c/ns;\n", +"l=V/f;\n", +"disp(l,'wavelength of light in m')\n", +"clear()" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Surveying_Volume_3_by_A_K_Arora/3-Trilateration.ipynb b/Surveying_Volume_3_by_A_K_Arora/3-Trilateration.ipynb new file mode 100644 index 0000000..9067129 --- /dev/null +++ b/Surveying_Volume_3_by_A_K_Arora/3-Trilateration.ipynb @@ -0,0 +1,218 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 3: Trilateration" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.1: 4.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"AB=25145.32;//distance in m\n", +"R=6370.0e3;//radius of earth in m\n", +"ha=325.14;//elevation in m\n", +"//calculation\n", +"theta=AB*cos(3+9.0/60+40.0/3600)/R;\n", +"AB_dash=AB/sin(%pi/2+theta/2)*sin(%pi/2-theta/2-(3+9.0/60+40.0/3600)*%pi/180);\n", +"CD=AB_dash-AB_dash*ha/R;\n", +"S=CD+CD**3/24.0/R**2;\n", +"disp(S,'sea level length in m')\n", +"clear()\n", +"disp('answer varies slightly due to round off error')" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.2: 5.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"AB=31325.14//slope distance in m\n", +"R=6370.0e3;//radius of earth\n", +"ha=1582.15;//elevation in m\n", +"h=4251.32-ha//in m\n", +"//calculation\n", +"AB_dash=AB-h**2/2/AB;\n", +"theta=2*asin(AB_dash/2/R);\n", +"AB_dash=AB-(h*sin(theta/2)+h**2/AB/2)\n", +"CD=AB_dash-AB_dash*ha/R;\n", +"S=CD+CD**3/24.0/R**2;\n", +"disp(S,'sea level length in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.3: 6.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"//alpha=A and beta=B and those are angles\n", +"AB=1525.456;//distance in m\n", +"BC=2176.945;//distance in m\n", +"CD=1697.435;//distance in m\n", +"AD=2401.435;//distance in m\n", +"AC=3073.845;//distance in m\n", +"BD=2483.115;//distance in m\n", +"//calculation\n", +"A1=acos((CD**2+AC**2-AD**2)/(2*CD*AC));\n", +"A1=A1*180/%pi;\n", +"A2=acos((AD**2+BD**2-AB**2)/(2*AD*BD));\n", +"A2=A2*180/%pi;\n", +"A3=acos((AB**2+AC**2-BC**2)/(2*AB*AC));\n", +"A3=A3*180/%pi;\n", +"A4=acos((BC**2+BD**2-CD**2)/(2*BC*BD));\n", +"A4=A4*180/%pi;\n", +"B1=acos((CD**2+BD**2-BC**2)/(2*CD*BD));\n", +"B1=B1*180/%pi;\n", +"B2=acos((AD**2+AC**2-CD**2)/(2*AD*AC));\n", +"B2=B2*180/%pi;\n", +"B3=acos((AB**2+BD**2-AD**2)/(2*AB*BD));\n", +"B3=B3*180/%pi;\n", +"B4=acos((AC**2+BC**2-AB**2)/(2*AC*BC));\n", +"B4=B4*180/%pi;\n", +"e1=360-A1-A2-A3-A4-B1-B2-B3-B4;//error\n", +"e2=A1+B1-A3-B3;//error\n", +"e3=A2+B2-A4-B4;//error\n", +"//angle update\n", +"A1=A1+e1/8-e2/4;\n", +"A3=A3+e1/8+e2/4;\n", +"B1=B1+e1/8-e2/4;\n", +"B3=B3+e1/8+e2/4;\n", +"A2=A2+e1/8-e3/4;\n", +"B2=B2+e1/8-e3/4;\n", +"A4=A4+e1/8+e3/4;\n", +"B4=B4+e1/8+e3/4;\n", +"//updating sides\n", +"AD=1525.456*sin(B3*%pi/180)/sin(A2*%pi/180);\n", +"disp('equation for B2 is wrong')\n", +"disp(AD,'corrected length of AD in m')\n", +"BD=1525.456*sin(A3*%pi/180+B2*%pi/180)/sin(A2*%pi/180);\n", +"disp(BD,'corrected length of BD in m')\n", +"AC=1525.456*sin(A4*%pi/180+B3*%pi/180)/sin(B4*%pi/180);\n", +"disp(AC,'corrected length of AC in m')\n", +"BC=1525.456*sin(A3*%pi/180)/sin(B4*%pi/180);\n", +"disp(BC,'corrected length of BC in m')\n", +"CD=BC*sin(A4*%pi/180)/sin(B1*%pi/180)\n", +"disp(CD,'corrected length of CD in m')\n", +"disp('answers differ slightly due to value of pi');\n", +"//equation for B2 is wrong\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.4: 7.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"//angles found by cosine law\n", +"//alpha=A and beta=B and those are angles\n", +"A1=45.801596;//distance in m\n", +"A2=40.605250;//distance in m\n", +"A3=50.143258;//distance in m\n", +"A4=43.077646;//distance in m\n", +"B1=48.779868;//distance in m\n", +"B2=44.141587;//distance in m\n", +"B3=49.733152;//distance in m\n", +"B4=37.737035;//distance in m\n", +"//calculation\n", +"e1=360-A1-A2-A3-A4-B1-B2-B3-B4;//error\n", +"//angle update\n", +"A1=A1+e1/8;\n", +"A3=A3+e1/8;\n", +"B1=B1+e1/8;\n", +"B3=B3+e1/8;\n", +"A2=A2+e1/8;\n", +"B2=B2+e1/8;\n", +"A4=A4+e1/8;\n", +"B4=B4+e1/8;\n", +"E2=(log(sin(A1*%pi/180))*log(sin(A2*%pi/180))*log(sin(A3*%pi/180))*log(sin(A4*%pi/180))-log(sin(B1*%pi/180))*log(sin(B2*%pi/180))*log(sin(B3*%pi/180))*log(sin(B4*%pi/180)))/log(10000);\n", +"c3=E2/17.1;\n", +"c4=E2/17.0;\n", +"A1=A1-c3;\n", +"disp(A1,'corrected angle A1 in degrees')\n", +"B1=B1+c3;\n", +"disp(B1,'corrected angle B1 in degrees')\n", +"clear()" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Surveying_Volume_3_by_A_K_Arora/4-Principles_of_Field_Astronomy.ipynb b/Surveying_Volume_3_by_A_K_Arora/4-Principles_of_Field_Astronomy.ipynb new file mode 100644 index 0000000..8870ee0 --- /dev/null +++ b/Surveying_Volume_3_by_A_K_Arora/4-Principles_of_Field_Astronomy.ipynb @@ -0,0 +1,1847 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 4: Principles of Field Astronomy" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.10: 17.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc();\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100;\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"delta=38+15.0/60;//declination of star M1 in degrees in North\n", +"theta=25+10.0/60;//latitude in degrees in North\n", +"//calculation\n", +"z=delta-theta;\n", +"alpha=90-z;\n", +"z=degtodms(z);\n", +"alpha=degtodms(alpha);\n", +"disp(z,'zenith distance in deg min sec');\n", +"disp(alpha,'altitude in deg min sec');\n", +"//part2\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100;\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"delta=22+40.0/60;//declination of star M2 in degrees in North\n", +"theta=25+10.0/60;//latitude in degrees in North\n", +"//calculation\n", +"z=-delta+theta;\n", +"alpha=90-z;\n", +"z=degtodms(z);\n", +"alpha=degtodms(alpha);\n", +"disp(z,'zenith distance in deg min sec');\n", +"disp(alpha,'altitude in deg min sec');\n", +"//part3\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"delta=70+20.0/60;//declination of star M3 in degrees in North\n", +"theta=25+10.0/60;//latitude in degrees in North\n", +"//calculation\n", +"z=delta-theta;\n", +"z=degtodms(z);\n", +"disp(z,'zenith distance in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.11: 18.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" if sd==60 then\n", +" m=m+1\n", +" sd=0\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"theta=42+50.0/60;//latitudde in degrees\n", +"delta=83+40.0/60;//declination in degrees\n", +"//calculation\n", +"z=180-delta-theta;\n", +"alpha=90-z;\n", +"z=degtodms(z);\n", +"alpha=degtodms(alpha);\n", +"disp(z,'zenith distance in deg min sec');\n", +"disp(alpha,'altitude in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.12: 19.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"M=82+30/60;//standard meridian in degrees\n", +"L1=110;//longitutde in degrees east\n", +"ST=18+35.0/60+10.0/3600//standard time in hr\n", +"//calculation\n", +"LMT=ST+(L1-M)/15.0;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec');\n", +"//part2\n", +"L2=30;//longitutde in degrees west\n", +"ST=18+35.0/60+10.0/3600//standard time in hr\n", +"//calculation\n", +"LMT=ST-(M+L2)/15.0;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec');\n", +"//part3\n", +"L3=30;//longitutde in degrees east\n", +"ST=18+35.0/60+10.0/3600//standard time in hr\n", +"//calculation\n", +"LMT=ST-(M-L3)/15.0;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.13: 20.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"LMT=8+30.0/60+15.0/3600;//in hr\n", +"Long=45+30.0/60;//longitude in degrees\n", +"//calculation\n", +"GMT=LMT+Long/15.0;\n", +"GMT=degtodms(GMT);\n", +"disp(GMT,'GMT in hr min sec (AM)');\n", +"//part2\n", +"LMT=6+40.0/60+10.0/3600;//in hr\n", +"Long=55+30.0/60;//longitude in degrees\n", +"//calculation\n", +"GMT=LMT-Long/15.0;\n", +"GMT=degtodms(GMT);\n", +"disp(GMT,'GMT in hr min sec (PM)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.14: 21.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"GMT=20+30.0/60+15.0/3600;//GMT in hrs\n", +"Long=82+30.0/60;//longitude in degrees east\n", +"//calculation\n", +"LMT=GMT+Long/15.0-24;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec (next day)');\n", +"//part2\n", +"GMT=20+30.0/60+15.0/3600;//GMT in hrs\n", +"Long=120.0;//longitude in degrees west\n", +"//calculation\n", +"LMT=GMT-Long/15.0;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec (same day)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.15: 22.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"RA=6+15.0/60+20.0/3600;//RA in hr\n", +"HA=8+10.0/60+30.0/3600;//hour angle in hr\n", +"//calculation\n", +"LST=RA+HA;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST in hr min sec');\n", +"//part2\n", +"RA=8+40.0/60+15.0/3600;//RA in hr\n", +"HA=3+50.0/60+20.0/3600;//hour angle in hr\n", +"//calculation\n", +"LST=RA-HA;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.16: 23.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"LHA=6+30.0/60+10.0/3600;//local hour angle in hr\n", +"//calculation\n", +"LAT=LHA+12;\n", +"LAT=degtodms(LAT);\n", +"disp(LAT,'LAT in hr min sec');\n", +"//part2\n", +"LHA=18+40.0/60+20.0/3600;//local hour angle in hr\n", +"//calculation\n", +"LAT=LHA+12-24;\n", +"LAT=degtodms(LAT);\n", +"disp(LAT,'LAT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.17: 24.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=60.0;//longitude in derees east\n", +"LHA=5+30.0/60+20.0/3600;//local hour angle in hr\n", +"//calculation\n", +"LMT=LHA+12;\n", +"GMT=LMT-Long/15;\n", +"GMT=degtodms(GMT);\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec');\n", +"disp(GMT,'GMT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.18: 25.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//parta\n", +"GMT=0;//GMT in hr\n", +"ET=10.0/60+1.8/3600;//ET in hrs\n", +"//calculaion\n", +"GAT=GMT+ET;\n", +"GAT=degtodms(GAT);\n", +"disp(GAT,'GAT in hr min sec');\n", +"//partb\n", +"GMT=0;//GMT in hr\n", +"ET=-13.0/60-28.5/3600;//ET in hrs\n", +"//calculaion\n", +"GAT=GMT+ET+24;\n", +"GAT=degtodms(GAT);\n", +"disp(GAT,'GAT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.1: 8.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"theta=25+14.0/60;//latitude in degrees in North\n", +"L1=29+15/60;//longitude in degrees in West\n", +"L2=45+25/60;//longitude in degrees in West\n", +"R=6370.0;//radius in km\n", +"//calculation\n", +"AB=cos(theta*%pi/180)*(L2-L1);//arc length in km\n", +"dis=2*%pi*R*AB/360.0;//distance in km\n", +"disp(dis,'distance of AB in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.19: 26.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"ET1=-3.0/60-51.4/3600//ET at april 2 in hr\n", +"ET2=-3.0/60-33.5/3600//ET at april 3 in hr\n", +"//calculation\n", +"dET=(ET2-ET1)*18.0/24//change in ET\n", +"ET=ET1+dET;\n", +"ET=degtodms(ET);\n", +"disp(ET,'ET (-ve) in hr min s');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.20: 27.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"LAT=15+12.0/60+40.0/3600;//latitude in degrees\n", +"Long=20+3.0/60;//longitude in degrees\n", +"GMN=5.0/60+10.65/3600;//GMN in hr\n", +"//calculation\n", +"GAT=LAT+Long/15.0;\n", +"e1=(GAT-12)*0.22/3600+GMN;\n", +"LAT=GAT+e1-Long/15.0;\n", +"LAT=degtodms(LAT);\n", +"disp(LAT,'LAT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.21: 28.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=56+35.0/60;//Longitude in degrees\n", +"LMT=7+15.0/60+25.0/3600;//LMT in hr\n", +"GMN=3.0/60+54.0/3600;//GMT in hr\n", +"//calculation\n", +"GMT=LMT-Long/15.0;\n", +"e1=GMN+(12-GMN)*0.25/3600;\n", +"LAT=GMT+Long/15.0+e1;\n", +"LAT=degtodms(LAT);\n", +"disp(LAT,'LAT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.22: 29.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"ST=7+15.0/60+30.0/3600;//sideral time in hr\n", +"R=9.8296;//retardation in s\n", +"//calculation\n", +"tr=R/3600*ST;\n", +"ST=ST-tr;\n", +"ST=degtodms(ST);\n", +"disp(ST,'solar mean time in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.23: 30.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"ST=7+45.0/60+50.0/3600;//solar time in hr\n", +"R=9.8565;//retardation in s\n", +"//calculation\n", +"tr=R/3600*ST;\n", +"ST=ST+tr;\n", +"ST=degtodms(ST);\n", +"disp(ST,'solar mean time in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.24: 31.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"Long=140+35.0/60+20.0/3600;//longitude in degrees in West\n", +"GST=13+15.0/60+30.0/3600;//GST in hr\n", +"//calculation\n", +"LST=GST+9.8565/3600*Long/15.0;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST in hr min sec');\n", +"//part2\n", +"Long=160+45.0/60+30.0/3600;//longitude in degrees in East\n", +"GST=13+15.0/60+30.0/3600;//GST in hr\n", +"//calculation\n", +"LST=GST-9.8565/3600*Long/15.0;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.25: 32.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=75.0;//longitude in degrees in West\n", +"GST=15+55.0/60+13.0/3600;//GST in hr\n", +"LMT=11.0;//LMT in hr\n", +"//calculation\n", +"LST=GST+Long/15.0*9.8565/3600+LMT+9.8565/3600*LMT;\n", +"LST=LST-24;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST of next day in deg min sec');\n", +"disp('there is slight change in the answer due to round off error in the question');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.26: 33.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=75.0;//longitude in degrees\n", +"GST=5+25.0/60+15.0/3600;//GST in hr\n", +"LMT=5.0+40.0/60;//LMT in hr\n", +"//calculation\n", +"LST=GST-Long/15.0*9.8565/3600+LMT+9.8565/3600*(LMT);\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST of next day in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.27: 34.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=75.0;//longitude in degrees\n", +"GST=11+45.0/60+10.0/3600;//GSt in hr\n", +"LST=26+35.0/60+42.0/3600;//LST in hr\n", +"//calculation\n", +"LMM=GST+Long/15*9.8565/3600;\n", +"LMT=LST-LMM-(LST-LMM)*9.8296/3600;\n", +"LMT=degtodms(LMT-12)\n", +"disp(LMT,'LMT in hr min sec (PM)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.28: 35.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=90.0;//longitude in degrees\n", +"GST=9+15.0/60+14.0/3600;//GST in hr\n", +"LST=31+35.0/60+12.0/3600;//LST in hr\n", +"//calculation\n", +"LMM=GST-Long/15*9.8565/3600;\n", +"LMT=LST-LMM-(LST-LMM)*9.8296/3600;\n", +"LMT=degtodms(LMT-12)\n", +"disp(LMT,'LMT in hr min sec (PM)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.29: 36.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"Long=150.0;//longitude in degrees\n", +"GST=12+25.0/60+15.0/3600;//GST in hr\n", +"LST=30+15.0/60+10.0/3600;//LST in hr\n", +"LMN=18+15.0/60+10.0/3600;//LMN in hr\n", +"//calculation\n", +"LMM=GST+Long/15*9.8565/3600;\n", +"LMT=LMN-LMM-(LMN-LMM)*9.8296/3600;\n", +"LMT=degtodms(LMT)\n", +"disp(LMT,'LMT in hr min sec (PM)');\n", +"//part2\n", +"LMM=GST+Long/15*9.8565/3600;\n", +"LMT=LST-LMM-(LST-LMM)*9.8296/3600;\n", +"LMT=degtodms(LMT-12)\n", +"disp(LMT,'LMT in hr min sec (AM)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.2: 9.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"LongA=52+24.0/60;//longtitude in degrees\n", +"LongB=55+30.0/60;//longtitude in degrees\n", +"latA=18+10.0/60;//latitude in degrees\n", +"latB=15.0;//latitude in degrees\n", +"R=6370.0;//radius of earth\n", +"pi=3.14;\n", +"//calculation\n", +"P=LongB-LongA;\n", +"PA=90-latA;\n", +"PB=90-latB;\n", +"AB=acos(cos(PB*%pi/180)*cos(PA*%pi/180)+sin(PB*%pi/180)*sin(PA*%pi/180)*cos(P*%pi/180));\n", +"dis=AB*R;\n", +"//solving for A\n", +"a=[0.5,0.5;0.5,-0.5];\n", +"b=[atan(cos((PB/2-PA/2)*%pi/180)/tan(P*%pi/180)/cos((PB/2+PA/2)*%pi/180))*180/%pi;atan(sin((PB/2-PA/2)*%pi/180)/tan(P*%pi/180)/sin((PB/2+PA/2)*%pi/180))*180/%pi];\n", +"x=linsolve(a,-b);\n", +"x=degtodms(x(1));\n", +"disp(round(dis*100)/100,'distance of AB in Km');\n", +"disp(x,'direction of B to A in deg min sec towards east is:');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.30: 37.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"theta=35+15.0/60+20.0/3600;//theta in degrees\n", +"delta=88+15.0/60+45.0/3600;//delta in degrees\n", +"RA=1+45.0/60+15.0/3600;//R.A. in degrees \n", +"//calculation\n", +"H=acos(tan(theta*%pi/180)/tan(delta*%pi/180));\n", +"H=H*180/%pi/15;\n", +"LST=RA+H;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.3: 10.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"b=40.0;//distance in degrees\n", +"p=6.0;//disatnce in degrees\n", +"//calculation\n", +"a=%pi/2-asin(cos(b*%pi/180)*cos(p*%pi/180));\n", +"Bc=a*180/%pi-b;\n", +"BC=Bc*1.853*60;\n", +"B=asin(sin(b*%pi/180)/sin(a))\n", +"B=degtodms(B*180/%pi);\n", +"disp(round(BC*100)/100,'distance BC in km');\n", +"disp(B,'angle of B deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.31: 38.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"RA=22+25.0/60+10.0/3600;//R.A. in hr\n", +"ST=14+45.0/60//sidereal time in hr\n", +"Long=90.0;//longitude in degrees\n", +"GMT=27+15.0/60;//GMT in hr\n", +"LMN=15+21.0/60+15.0/3600;//LST of LMN in hr\n", +"//calculation\n", +"MT=12+24-GMT+Long/15//mean time interval\n", +"acc=9.8565/3600*MT;\n", +"HA=LMN-acc-MT;\n", +"LST=HA+24-RA;\n", +"LST=degtodms(LST);\n", +"disp(LST,'LST in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.32: 39.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"Long=60;//longitude in degrees\n", +"GMT=11+15.0/60+20.0/3600;//GMT in hr\n", +"//calculation\n", +"LMT=GMT-Long/15*9.8296/3600;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec ');\n", +"//part2\n", +"Long=45;//Longitude in degrees\n", +"GMT=11+15.0/60+20.0/3600;//GMT in hr\n", +"//calculation\n", +"LMT=GMT+Long/15*9.8296/3600;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.33: 40.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=75;//Longitude in degrees\n", +"GMT=6+18.0/60+20.0/3600;//GMT in hr\n", +"LST=10+25.0/60+15.0/3600;//LST in hr\n", +"//calculation\n", +"LMT=GMT+Long/15*9.8296/3600;\n", +"LST=LST-9.8296/3600*LST;\n", +"LMT=LMT+LST;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec ');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.34: 41.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"//Part A\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"GST=7+35.0/60+40.0/3600;//GSt in hr\n", +"//calculation\n", +"GMT=24-GST-(24-GST)*9.8296/3600;\n", +"GMT=degtodms(GMT);\n", +"disp(GMT,'GMT in hr min sec');\n", +"//Part B\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//part1\n", +"Long=120.0;//longitude in degrees\n", +"GMT=12+3.0/60+24.6/3600;//GMT in hr\n", +"//calculation\n", +"LMT=GMT-17.8/24*Long/15.0/3600;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT of LAN in hr min sec');\n", +"//part2\n", +"Long=45;//Longitude in degrees\n", +"GMT=12+3.0/60+24.6/3600;//GMT in hr\n", +"//calculation\n", +"LMT=GMT+17.8/24*Long/15.0/3600;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT of LAN in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.35: 42.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//one of the 2 solution\n", +"f0=5+1.9/60;//declination in degrees\n", +"n=0.25;//constant\n", +"del0=0;//del''0\n", +"del1=-0.1;//del''1\n", +"d2=23.0//del1/2\n", +"//calculation\n", +"fn=f0+n*d2/60+n*(n-1)/2*(del1+del0)/60;\n", +"fn=degtodms(fn)\n", +"disp(fn,'sun declination in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.36: 43.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"alt=23+40.0/60;//altitude of star in degrees\n", +"azi=145.0;//azimuth of star in degrees\n", +"lat=50.0;//latitude in degrees\n", +"//calculation\n", +"delta=%pi/2-acos(cos(%pi/2-lat*%pi/180)*cos(%pi/2-alt*%pi/180)+sin(%pi/2-lat*%pi/180)*sin(%pi/2-alt*%pi/180)*cos(azi*%pi/180));\n", +"H=acos((cos(%pi/2-alt*%pi/180)-cos(%pi/2-lat*%pi/180)*cos(%pi/2-delta))/sin(%pi/2-lat*%pi/180)*sin(%pi/2-delta))\n", +"H=degtodms(360-H*180/%pi);\n", +"delta=degtodms(delta*180/%pi);\n", +"disp('there is a calculation mistake in calculating H in the book');\n", +"disp(delta,'declination in deg min sec');\n", +"disp(H,'hour angle in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.37: 44.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"alt=25+30.0/60;//altitude in degrees\n", +"azi=45.0;//azimuth in degrees\n", +"lat=42.0;//latitude in degrees\n", +"//calculation\n", +"delta=%pi/2-acos(cos(%pi/2-lat*%pi/180)*cos(%pi/2-alt*%pi/180)+sin(%pi/2-lat*%pi/180)*sin(%pi/2-alt*%pi/180)*cos(azi*%pi/180));\n", +"H=acos((cos(%pi/2-alt*%pi/180)-cos(%pi/2-lat*%pi/180)*cos(%pi/2-delta))/sin(%pi/2-lat*%pi/180)*sin(%pi/2-delta))\n", +"H=degtodms(H*180/%pi);\n", +"delta=degtodms(delta*180/%pi);\n", +"disp(delta,'declination in deg min sec');\n", +"disp(H,'hour angle in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.38: 45.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"delta=21.0*%pi/180+25.0/60*%pi/180;//delta in degrees\n", +"lat=25+40.0/60;//latitude in degrees\n", +"//calculation\n", +"H=acos((0-cos(%pi/2-lat*%pi/180)*cos(%pi/2-delta))/sin(%pi/2-lat*%pi/180)*sin(%pi/2-delta));\n", +"A=acos(cos(%pi/2-delta)/sin(%pi/2-lat*%pi/180));\n", +"H=degtodms(360-H*180/%pi);\n", +"A=degtodms(A*180/%pi);\n", +"disp(H,'hour angle in deg min sec');\n", +"disp(A,'azimuth in deg min sec');\n", +"disp('the answer differs slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.39: 46.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"//calculation\n", +"A=[1,1;1,-1];//matrix\n", +"b=[90;0];//matrix\n", +"x=linsolve(A,-b);\n", +"disp(x(1),'latitude in degrees')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.40: 47.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"theta=53+20.0/60;//theta in degrees\n", +"delta=53+20.0/60;//delta in degrees\n", +"//calculation\n", +"alpha=theta+delta-90;\n", +"alpha=degtodms(alpha);\n", +"disp(alpha,'altitude in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.4: 11.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"coal=90.0-28.0-24.0/60;//coaltitude in degrees\n", +"cola=90.0-48.0-30.0/60;//colatitude in degrees\n", +"//calculation\n", +"delta=%pi/2-acos((cos(coal*%pi/180)*cos(cola*%pi/180)+sin(coal*%pi/180)*sin(cola*%pi/180)*cos(50*%pi/180)));\n", +"H=acos(cos(coal*%pi/180)/(sin(cola*%pi/180)*cos(delta))-tan(delta)/tan(cola*%pi/180));\n", +"Ho=degtodms(H*180/%pi);\n", +"delta=degtodms(delta*180/%pi)\n", +"disp(Ho,'H in deg min sec');\n", +"disp(delta,'declination in deg mi sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.41: 48.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"GMT=18+30.0/60;//GMT in hr\n", +"ET=1.0/60+25.4/3600-0.67*6.5/3600;//ET in hr\n", +"//calculation\n", +"GAT=GMT+ET;\n", +"GAT=degtodms(GAT)\n", +"disp(GAT,'GAT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.42: 49.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=30.0;//longitude in degrees\n", +"GAT=13+15.0/60+10.0/3600;//GAT in hr\n", +"ET=6.0/60+15.35/3600+0.3/3600*1.25278;//ET in hr\n", +"//calculation\n", +"LMT=GAT+ET-Long/15.0;\n", +"LMT=degtodms(LMT);\n", +"disp(LMT,'LMT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.43: 50.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=45.0;//longitude in degrees\n", +"E=11+55.0/60+5.0/3600-1.5/6*17.0/3/3600;//E in hr\n", +"//calculation\n", +"GMT=14+40.0/60+Long/15.0;\n", +"GHA=GMT+E;\n", +"LHA=GHA-24-Long/15;\n", +"LHA=degtodms(LHA);\n", +"disp(LHA,'LHA of the sun in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.44: 51.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"E=11+55.0/60+24.0/3600+0.5/3600*(2+40.0/60+21.2/3600);//E in hr\n", +"GHA=8+35.0/60+45.2/3600;//GHA in hr\n", +"//calculation\n", +"GMT=GHA+24-E;\n", +"GMT=degtodms(GMT);\n", +"disp(GMT,'GMT in hr min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.5: 12.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"delta=22+45.0/60;//declination in degrees\n", +"theta=55.0;//latitude in degrees\n", +"H=45+15.0/60;//hour angle in degrees\n", +"//calculation\n", +"alpha=asin((cos(H*%pi/180)+tan(theta*%pi/180)*tan(delta*%pi/180))*cos(theta*%pi/180)*cos(delta*%pi/180));\n", +"alpha=alpha*180/%pi;\n", +"A=acos(sin(delta*%pi/180)/(cos(theta*%pi/180)*cos(alpha*%pi/180))-tan(alpha*%pi/180)*tan(theta*%pi/180));\n", +"A=degtodms(360-A*180/%pi);\n", +"disp(A,'azimuth in deg mi sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.6: 13.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"coal=42.0;//coalatitude in degrees\n", +"code=100+40.0/60//co-declination in degrees\n", +"//calculation\n", +"alpha=%pi/2-acos((cos(coal*%pi/180)*cos(code*%pi/180)+sin(coal*%pi/180)*sin(code*%pi/180)*cos(35*%pi/180)));\n", +"A=acos((cos(code*%pi/180)-cos(coal*%pi/180)*cos(%pi/2-alpha))/(sin(coal*%pi/180)*sin(%pi/2-alpha)));\n", +"A=degtodms(A*180/%pi);\n", +"alpha=degtodms(alpha*180/%pi);\n", +"disp(A,'azimuth in deg min sec towards east is:');\n", +"disp(alpha,'alpha in deg min sec');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.7: 14.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"theta=33.0+42.0/60.0+34.0/3600.0;//latitude in degrees\n", +"delta=81.0+55.0/60.0+14.0/3600.0;//declination in degrees\n", +"//calculation\n", +"H1=acos(tan(theta*%pi/180)/tan(delta*%pi/180));\n", +"H1=degtodms(360-H1*180/%pi);\n", +"alpha=asin(sin(theta*%pi/180)/sin(delta*%pi/180));\n", +"alpha=degtodms(alpha*180/%pi);\n", +"A=asin(cos(delta*%pi/180)/cos(theta*%pi/180));\n", +"A=degtodms(A*180/%pi);\n", +"disp(A,'azimuth in deg min sec');\n", +"disp(alpha,'alpha in deg min sec');\n", +"disp(H1,'hour angle in deg min sec');\n", +"disp('the answer of azimuth differs slightly due to roundoff error and slight mistake in the book')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.8: 15.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"alpha=0.0;//degrees\n", +"theta=25+45.0/60;//latitude in degrees\n", +"//calculation\n", +"delta=asin(sin(alpha)/sin(theta*%pi/180));\n", +"disp(delta,'declination in degrees')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.9: 16.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"cola=90.0-49.0//colatitude in degrees\n", +"code=90.0+19.0//codeclination in degrees\n", +"//calculation\n", +"A1=acos((cos(code*%pi/180)-cos(cola*%pi/180)*cos(%pi/2))/sin(cola*%pi/180)/sin(%pi/2));\n", +"A1=degtodms(360-A1*180/%pi);\n", +"H=acos((0-cos(cola*%pi/180)*cos(code*%pi/180))/sin(cola*%pi/180)*sin(code*%pi/180));\n", +"H=degtodms(H*180/%pi);\n", +"disp(A1,'azimuth in deg min sec');\n", +"disp(H,'hour angle in deg min sec');\n", +"disp('the hour angle differs slightly due to round off error')\n", +"clear()" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Surveying_Volume_3_by_A_K_Arora/5-Uses_Of_Field_Astronomy_in_surveying.ipynb b/Surveying_Volume_3_by_A_K_Arora/5-Uses_Of_Field_Astronomy_in_surveying.ipynb new file mode 100644 index 0000000..01362d7 --- /dev/null +++ b/Surveying_Volume_3_by_A_K_Arora/5-Uses_Of_Field_Astronomy_in_surveying.ipynb @@ -0,0 +1,801 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 5: Uses Of Field Astronomy in surveying" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.10: 61.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"Long=75.0//longitude in degrees\n", +"GST=11+40.0/60+32.4/3600;//GST in degrees\n", +"RA=12+25.0/60+18.35/3600;//RA in degrees\n", +"GMT=15+45.0/60+25.3/3600;//GMT in degrees\n", +"delta=22+6.0/60+32.5/3600;//angle in degrees\n", +"//calculation\n", +"e1=Long/15*9.8565/3600;\n", +"LSTofLMM=GST-e1;\n", +"LMT=GMT+Long/15;\n", +"SIT=LMT+LMT*9.8565/3600//sidereal time interval\n", +"LHA=SIT+LSTofLMM;\n", +"H=RA+24-LHA;\n", +"H=H*15;\n", +"B=atan(tan(delta*%pi/180)*tan(H*%pi/180));\n", +"B=B*180/%pi;\n", +"A=atan(tan(H*%pi/180)*cos(B*%pi/180)/sin((B-32-15.0/60)*%pi/180))\n", +"A=A*180/%pi;\n", +"TB=360+A-135-15.0/60-20.0/3600;\n", +"TB=degtodms(TB);\n", +"disp(TB,'true bearing TB in degree,minites,seconds respectively');\n", +"disp('there is slight difference in the answers due to rounding off error in the book');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.11: 62.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"z=51+47.0/60+18.0/3600//zenith distance\n", +"p=88+57.0/60+57.0/3600//polar distance\n", +"c=61+27.0/60+55.0/3600//co-latitude\n", +"//calculation\n", +"s=(z+p+c)/2;\n", +"A=2*atan(sqrt(sin((s-z)*%pi/180)/sin(s*%pi/180)*sin((s-c)*%pi/180)/sin((s-p)*%pi/180)));\n", +"A=A*180/%pi;\n", +"TB=360-A-165-18.0/60-20.0/3600;\n", +"TB=degtodms(TB);\n", +"disp(TB,'true bearing TB in degree,minites,seconds respectively');\n", +"disp('answer varies slightly due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.12: 63.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"z2=90-40-13.0/60-15.0/3600;//zenith angle in degrees\n", +"del2=12+15.0/60+30.0/3600//declination of star in degrees\n", +"//calculation\n", +"theta=z2+del2;\n", +"theta=degtodms(theta);\n", +"disp(theta,'altitude in degree,minites,seconds respectively');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.13: 64.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100;\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"alpha1=30+45.0/60+25.0/3600;//angle in degrees\n", +"alpha2=40+48.0/60+30.0/3600;//angle in degrees\n", +"//calculation\n", +"e1=-58/3600/tan(alpha1*%pi/180)// error 1\n", +"e2=-58/3600/tan(alpha2*%pi/180)// error 2\n", +"theta=(alpha1+alpha2+e1+e2)/2;\n", +"theta=degtodms(theta)\n", +"disp(theta,'latitude in degree,minites,seconds respectively');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.14: 65.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"ZP=37+29.0/60+40.0/3600//colatitde in degrees\n", +"ZM=56+24.0/60+50.0/3600//coaltitude in degrees\n", +"PM=67+54.0/60+24.0/3600//codeclination in degrees\n", +"//calculation\n", +"A1=acos((cos(PM*%pi/180)-cos(ZP*%pi/180)*cos(ZM*%pi/180))/(sin(ZP*%pi/180)*sin(ZM*%pi/180)));\n", +"A1=A1*180/%pi;\n", +"A=360-A1;\n", +"A=degtodms(A);\n", +"disp(A,'azimuth of sun in degree,minites,seconds respectively');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.1: 52.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"l1=11.5;//position\n", +"l2=13.5;//position\n", +"r1=8.5;//position\n", +"r2=6.5;//position\n", +"alpha=3+15.0/60+28.0/3600;//angle in hr\n", +"OB=121+45.0/60+18.0/3600;//angle in hr\n", +"OA=43+25.0/60+20.51/3600;//angle in hr\n", +"//calculation\n", +"gamma=(l1+l2)/4-(r1+r2)/4;\n", +"e=gamma*tan(alpha*%pi/180)/3600//correction\n", +"CH=OB-OA-e;\n", +"CH=degtodms(CH);\n", +"disp(CH, 'corrected horizontal angle in deg,min,sec respectively');\n", +"clear()\n", +"disp('answer varies slightly due to round off error')" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.15: 66.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"theta=54+30.0/60//latitude in degrees\n", +"delta=62+12.0/60+21.0/3600//declination in degrees\n", +"//calculation\n", +"alpha=asin(sin(theta*%pi/180)/sin(delta*%pi/180));\n", +"A1=acos(tan(theta*%pi/180)/tan(alpha));\n", +"A1=A1*180/%pi;\n", +"TB=360-A1-65-18.0/60-42.0/3600;\n", +"TB=degtodms(TB);\n", +"alpha=degtodms(alpha*180/%pi);\n", +"H=acos(tan(theta*%pi/180)/tan(delta*%pi/180));\n", +"H=degtodms(H*180/%pi);\n", +"disp(TB,'true bearing in degree,minites,seconds respectively');\n", +"disp(alpha,'altitude in degree,minites,seconds respectively');\n", +"disp(H,'hour angle in degree,minites,seconds respectively');\n", +"disp('the answer for hour angle in the textbook is wrong');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.16: 67.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100;\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"alpha=44+12.0/60+30.0/3600;//angle in degrees\n", +"d=15.0/60+45.86/3600//diameter correction\n", +"Long=7+20.0/60+15.0/3600//longitude in degrees\n", +"//calculation\n", +"alpha=alpha+d-58/3600/tan(alpha)+8.8/3600*cos(alpha);\n", +"GAT=Long/15;\n", +"e2=6.82/3600*GAT;\n", +"delta=22+18.0/60+12.8/3600+e2;\n", +"theta=delta+90-alpha;\n", +"theta=degtodms(theta);\n", +"disp(theta,'altitude in degree,minites,seconds respectively');\n", +"disp('answer varies slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.17: 68.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"GMT=16+22.0/60+55.0/3600;\n", +"ET=3.0/60+43.0/3600;\n", +"c=90-42-20.0/60;\n", +"p=90-18-45.0/60-50.0/60;\n", +"z=90-43-38.0/60;\n", +"//calculation\n", +"H=acos(cos(z*%pi/180)/sin(c*%pi/180)/sin(p*%pi/180)-1/tan(c*%pi/180)*1/tan(p*%pi/180));\n", +"H=H*180/%pi;\n", +"LAT=12-H/15;\n", +"LMT=LAT-ET;\n", +"Long=GMT-LMT;\n", +"Long=Long*15;\n", +"Long=degtodms(Long);\n", +"disp(Long,'Longitude in degree,minites,seconds respectively in west');\n", +"disp('the answer varies slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.18: 69.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"alpha=21+35.0/60+30.0/3600//mean observed altitude\n", +"C=(4.5+5.5-3.5-2.5)/4*15.0/3600;\n", +"c=44+30.0/60//colatitude in degrees\n", +"z=68+26.0/60+34.0/3600//coaltitude in degrees\n", +"p=94+4.0/60+15.0/3600//codeclination in degrees\n", +"s=(c+p+z)/2;\n", +"//calculation\n", +"cr=-58/3600/tan(alpha)//correction refraction\n", +"cp=8.8/3600*cos(alpha)//correction parallax\n", +"alpha=alpha+C+cr+cp// corrected altitude\n", +"A=2*atan(sqrt(sin((s-z)*%pi/180)/sin(s*%pi/180)*sin((s-c)*%pi/180)/sin((s-p)*%pi/180)));\n", +"A=A*180/%pi;\n", +"Mh=(121+45.0/60+20.0/3600+122+47.0/60)/2//mean horizontal angle\n", +"AZ=360-Mh-A;\n", +"AZ=degtodms(AZ);\n", +"disp(AZ,'Azimuth from north(clockwise) in degree,minites,seconds respectively');\n", +"disp('the answer varies slightly due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.2: 53.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"alpha=30+32.0/60+18.0/3600//latitude in hr\n", +"d=16.0/60+2.85/3600//semi-diameter of sun in hr\n", +"//calculation\n", +"C1=-58.0/3600/tan(alpha*%pi/180); \n", +"C2=8.8/3600*cos(alpha*%pi/180); \n", +"C3=d; \n", +"CL=alpha+C1+C2+C3;\n", +"CL=degtodms(CL);\n", +"disp(CL,'corrected latutude in deg,min,sec respectively');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.3: 54.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"alpha=40+52.0/60+10.0/3600//latitude in hr\n", +"//calculation\n", +"C1=-58.0/3600/tan(alpha*%pi/180);\n", +"CL=alpha+C1;\n", +"CL=degtodms(CL);\n", +"disp(CL,'corrected latutude in deg,min,sec respectively');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.4: 55.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"LMT=21+23.0/60+05.0/3600//local chronometer time\n", +"Long=65.0+19.0/60//longitude in hr\n", +"GST=13+15.0/60+20.0/3600;//GST in hr\n", +"RA=9+32.0/60+15.0/3600;//RA in hr\n", +"Long2=82.0+30.0/60//longitude of India\n", +"//calculation\n", +"e1=Long/15*9.8565/3600//error\n", +"SIT=RA+24-GST+e1//sidereal time interval after LMM\n", +"e2=SIT*9.8296/3600//error\n", +"MI=SIT-e2//mean interval after LMM\n", +"LMT=LMT-(Long2-Long)/15.0;\n", +"CE=MI-LMT;\n", +"CE=degtodms(CE);\n", +"disp(CE,'chronometer error in hours,min,sec respectively (fast)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.5: 56.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"MST=12+32.0/60+15.0/3600//mean sidereal time in hr\n", +"RA=15+45.0/60+10.0/3600;//RA in hr\n", +"theta=55+14.0/60+20.0/3600//latitude\n", +"delta=15+24.0/60+30.0/3600//declination\n", +"alpha=35+44.0/60+10.0/3600//zenith distance\n", +"//calculation\n", +"c=90-theta;\n", +"p=90-delta;\n", +"z=90-alpha;\n", +"H=acos(cos(z*%pi/180)/sin(c*%pi/180)/sin(p*%pi/180)-1/(tan(p*%pi/180)*tan(c*%pi/180)))\n", +"H=H/15*180/%pi;\n", +"LST=RA-H;\n", +"CE=MST-LST;\n", +"CE=degtodms(CE);\n", +"disp(CE,'chronometer error in hours,min,sec respectively (fast)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.6: 57.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100\n", +" dms=[d m sd]\n", +"endfunction\n", +"LMTe=6+34.0/60+18.0/3600// LMT east\n", +"LMTw=8+58.0/60+2.0/3600// LMT west\n", +"RA=16+11.0/60+25.0/3600;//RA in hr\n", +"Long=125+33.0/60;//Longitude\n", +"GST=8+25.0/60+14.0/3600;//GST in hr\n", +"//calculation\n", +"e1=Long/15*9.8565/3600//error\n", +"SIT=RA-GST+e1//sidereal time interval after LMM\n", +"e2=SIT*9.8296/3600;\n", +"MI=SIT-e2//mean time interval after LMM\n", +"LMTav=(LMTe+LMTw)/2//mean LMT\n", +"CE=LMTav-MI;\n", +"CE=degtodms(CE);\n", +"disp(CE,'chronometer error in slower side in hours,min,sec respectively (slow)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.7: 58.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"LMM=15+9.0/60+5.21/3600// mean LMT\n", +"GMT=10+9.0/60+3.76/3600;//GMT in hr\n", +"Long=75.0//longitude\n", +"alpha=42+30.0/60+42.0/3600;//angle in degrees\n", +"theta=34+48.0/60+12.0/3600;//angle in degrees\n", +"delta=15+36.0/60+48.0/3600;//angle in degrees\n", +"//calculation\n", +"H=acos(sin(alpha*%pi/180)/cos(theta*%pi/180)/cos(delta*%pi/180)-(tan(delta*%pi/180)*tan(theta*%pi/180)))\n", +"H=H/15*180/%pi;\n", +"GAT=12+H-Long/15;\n", +"LMT=GAT+Long/15-5.0/60-40.0/3600;\n", +"CE=LMM-LMT;\n", +"CE=degtodms(CE);\n", +"disp(CE,'chronometer error in slower side in hours,min,sec respectively (fast)');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.8: 59.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"del1=75+14.0/60+20.0/3600;//declination in degrees\n", +"del2=70+12.0/60+30.0/3600;//declination in degrees\n", +"d=del1-del2;//difference in degrees\n", +"//calculation\n", +"k=cos(del1*%pi/180)/cos(del2*%pi/180);\n", +"A2=%pi/2-atan((cos(d*%pi/180)-k)/sin(d*%pi/180));\n", +"A2=A2*180/%pi;\n", +"A2=120+15.0/60+10.0/3600-A2;\n", +"CR=360-A2;\n", +"A2=degtodms(A2);\n", +"CR=degtodms(CR);\n", +"disp(A2,'azimuth of angle R in degree,minites,seconds respectively');\n", +"disp(CR,'true bearing of CR in degree,minites,seconds respectively');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.9: 60.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=(round(sd*100)/100)\n", +" dms=[d m sd]\n", +"endfunction\n", +"a=26.0/60+51.0/3600;//angle in degrees\n", +"p=56.0/60+5.1/3600//polar distance\n", +"//calculation\n", +"H=acos(a/p);\n", +"A=p*sin(H)/cos(30.75694*%pi/180);\n", +"CR=25+35.0/60+40.0/3600-A;\n", +"CR=degtodms(CR);\n", +"disp(CR,'azimuth of angle CR in degree,minites,seconds respectively');\n", +"disp('answer varies slightly due to round off error')\n", +"clear()" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb b/Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb new file mode 100644 index 0000000..f21d11a --- /dev/null +++ b/Surveying_Volume_3_by_A_K_Arora/6-Photogrammetry.ipynb @@ -0,0 +1,1035 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 6: Photogrammetry" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.10: 79.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"S=1.0/10000;//scale\n", +"A=500.0;//area in sq. km\n", +"pw=0.3;//side overlap\n", +"l=0.23;//length in mm\n", +"w=0.23;//width in mm\n", +"//calculation\n", +"a=(1-0.6)*(1-pw)*l*w/S**2/1000/1000;\n", +"N=A/a;\n", +"disp(round(N),'no. of photographs taken')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.11: 80.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"L=25.0e3;//length in m\n", +"k=0.23e4;//l/s=w/s;\n", +"pl=0.6;//longitudinal lap\n", +"pw=0.3;//side lap\n", +"W=20.0e3;//width in m\n", +"//calculation\n", +"N=((L/((1-pl)*k)+1))*((W/((1-pw)*k)+1)+1);\n", +"disp(N,'no. of photographs taken');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.12: 81.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"//Part A page 310\n", +"f=0.1524;//focal length\n", +"S=1.0/10000;//scale\n", +"pw=0.3;//side lap\n", +"w=0.23;//format width\n", +"pl=0.6;\n", +"l=0.23;\n", +"//calculation\n", +"W=(1-pw)/S*w;\n", +"H=f/S+300;\n", +"disp(H,'height over datum in m');\n", +"N2=30/W+1;\n", +"N2=round(N2)\n", +"disp(N2-1,'no. of flight strips');\n", +"L=(1-pl)*1/S*l/1000;\n", +"disp(L,'length of each photograph cover in km');\n", +"T=3600*L/240.0;\n", +"disp(round(T),'exposure time in s');\n", +"Ad=T*240e3/60.0/60.0;//adjusted ground distance\n", +"N1=40.0e3/Ad+1;\n", +"N1=round(N1)\n", +"N=N1*N2;\n", +"disp(N,'no. of photographs taken');\n", +"//Part b page 317\n", +"t=3.0/180*%pi;\n", +"ya=82.25;\n", +"xa=-62.45;\n", +"s=220;\n", +"f=152.4;//focal length\n", +"H=2500.0e3;\n", +"h=500.0e3;\n", +"//calculation\n", +"theta=s-180;\n", +"ya_dash=xa*sin(theta*%pi/180)+ya*cos(theta*%pi/180)+f*tan(t)\n", +"S=(f/cos(t)-ya_dash*sin(t))/(H-h);\n", +"disp(round(1/S),'scale of photograph in 1 in')\n", +"disp('answer varies slightly due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.13: 82.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"t=3*%pi/180;//tilt\n", +"xa=-62.45;//x coordinate of a\n", +"xb=78.25;//x coorbinate of b\n", +"f=152.4;//focal length in mm\n", +"H=2500.0;//actual height in m\n", +"hb=800;//height B in m\n", +"ha=500.0;//height A in m\n", +"ya=82.25;//y coordinate of a\n", +"yb=-41.15;//y coordinate of b\n", +"s=220.0;\n", +"//calculation\n", +"theta=s-180;\n", +"ya1=xa*sin(theta*%pi/180)+ya*cos(theta*%pi/180)+f*tan(t);//ya'\n", +"xa1=xa*cos(theta*%pi/180)-ya*sin(theta*%pi/180);//xa'\n", +"xb1=xb*cos(theta*%pi/180)-yb*sin(theta*%pi/180);//xb'\n", +"yb1=xb*sin(theta*%pi/180)+yb*cos(theta*%pi/180)+f*tan(t);//yb'\n", +"Xa=xa1*(H-ha)/(f/cos(t)-ya1*sin(t));\n", +"Xb=xb1*(H-hb)/(f/cos(t)-yb1*sin(t));\n", +"Ya=ya1*cos(t)*(H-ha)/(f/cos(t)-ya1*sin(t));\n", +"Yb=yb1*cos(t)*(H-hb)/(f/cos(t)-yb1*sin(t));\n", +"AB=sqrt((Xb-Xa)**2+(Yb-Ya)**2);\n", +"disp(AB,'distance of AB in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.14: 83.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"ri=95.0;//radial distance in mm\n", +"f=152.4;//focal length in mm\n", +"t=3*%pi/180;//tilt\n", +"l=50*%pi/180;//angle\n", +"//calculation\n", +"dt=ri**2*sin(t)*cos(l)**2/(f-ri*sin(t)*cos(l));\n", +"disp(round(dt*100)/100,'tilt displacement of the image in mm')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.15: 84.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"d=230.0;//square side in mm\n", +"f=152.4//focal length in mm\n", +"pl=0.6;//end lap\n", +"//calculation\n", +"k=(1-pl)*d/f;\n", +"V=k/0.15;\n", +"disp(V,'vertical exaggeration is')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.16: 85.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"xa=51.23;//x coordinate of a\n", +"xb=91.48;//x coordinate of b\n", +"ya=48.33;//y coordinate of a\n", +"yb=-51.63;//y coordinate of b\n", +"f=152.4;//focal length in mm\n", +"B=425.0;//actual height in mm\n", +"hb=842.86//height B in mm\n", +"ha=820.97;//height A in mm\n", +"r1=10.42;//in mm\n", +"r2=9.67;//in mm\n", +"b1=89.12;//base in mm\n", +"b=89.43;//base in mm\n", +"ra=11.62;//parallax in mm\n", +"rb=14.53;//parallax in mm\n", +"//calculation\n", +"C=0.5*((b1-r1)+(b-r2))\n", +"pa=C+ra;\n", +"pb=C+rb;\n", +"Xa=B*xa/pa;\n", +"Xb=xb*B/pb;\n", +"Ya=ya*B/pa;\n", +"Yb=yb*B/pb;\n", +"AB=sqrt((Xb-Xa)**2+(Yb-Ya)**2);\n", +"disp(AB,'distance of AB in m')\n", +"disp('the answer does not match with textbook due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.1: 70.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"Da=184.32;//distance in mm\n", +"Db=95.84;//distance in mm\n", +"Ax=-115.0;//x coordinate of A\n", +"By=-115.0;//y coordinate of B\n", +"//calculation\n", +"phi=atan(Ax/By);\n", +"AB=sqrt(Ax**2+By**2);\n", +"theta=acos((Da**2+AB**2-Db**2)/2/Da/AB);\n", +"alpha=phi-theta;\n", +"xc=Da*cos(alpha)-115.0;\n", +"disp(xc,'the coordiantes in mm x is');\n", +"yc=-Da*sin(alpha);\n", +"disp(yc,'the coordiantes in mm y is');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.17: 86.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"C=79.0;//in mm\n", +"ra=11.42;//elevarion in image in mm\n", +"rb=15.65;//elevarion in image in mm\n", +"hb=651;//height of B in mm\n", +"H=1500;//height in m\n", +"//calculation\n", +"delp=ra-rb;//pa=ra+c and pb=rb+c so ra-rb=pa-pb\n", +"pa=ra+C;\n", +"ha=hb+delp/pa*(H-hb);\n", +"disp(ha,'height of A in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.18: 77.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"B=741.0;//airbase in m\n", +"f=152.4;//focal length in mm\n", +"pa=94.32;//in mm\n", +"ha=325;//elevation in mm\n", +"//calculation\n", +"H=ha+B*f/pa;\n", +"disp(H,'height in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.19: 88.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"H=1632.0;//above MSL in m\n", +"f=152.4;//focal length in mm\n", +"pa=82.75;//in mm\n", +"ha=283;//elevation in m\n", +"//calculation\n", +"B=pa/f*(H-ha);\n", +"disp(B,'width of air base in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.20: 89.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"alpha=50.0;//angle in degrees\n", +"beta=46.0;//angle in degrees\n", +"f=300.0;//focal length in mm\n", +"xa=24.0;//x coordinate of a\n", +"xb=30.0;//x coordinate of b\n", +"//calculation\n", +"dela=xa/f;\n", +"delb=xb/f;\n", +"A=alpha+dela*180/%pi;//angle A\n", +"B=beta-delb*180/%pi;//angle B\n", +"D=180-A-B;\n", +"AD=1300.0*sin(B*%pi/180)/sin(D*%pi/180);\n", +"disp(round(AD),'distance of AD in m');\n", +"Y=6/(sqrt(xa**2+f**2))*AD;\n", +"RD=60.12+Y;\n", +"disp(RD,'RL of D in m');\n", +"disp('the answer varies slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.21: 90.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=152.4;//focal length in mm\n", +"L=120;//length in m\n", +"x1=40.0;//distance in mm\n", +"x2=-90.0;//distance in mm\n", +"//calculation\n", +"X=f*L/(x1-x2);\n", +"disp(X,'the coordinates of D in m is X=')\n", +"Y=L*x1/(x1-x2);\n", +"disp(Y,'the coordinates of D in m is Y=')\n", +"h=X*(30-20)/f;\n", +"disp(h,'elevation of D in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.22: 91.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"function[dms]=degtodms(deg)\n", +" d = int(deg)\n", +" md = abs(deg - d) * 60\n", +" m = int(md)\n", +" sd = (md - m) * 60\n", +" sd=round(sd*100)/100;\n", +" if sd==60.0 then\n", +" sd=0;\n", +" m=m+1;\n", +" end\n", +" dms=[d m sd]\n", +"endfunction\n", +"f=150.4;//focal length in mm\n", +"xc=-32.43;//coordinate in mm\n", +"xd=9.52;//coordinate in mm\n", +"//calculation\n", +"thc=atan(xc/f);\n", +"thd=atan(xd/f);\n", +"th=thd-thc;\n", +"th=th*180/%pi;\n", +"Az=325+15.0/60+th;\n", +"Az=degtodms(Az);\n", +"disp(Az,'Azimuth of D in deg,min,sec respectively')\n", +"disp('the answer differs slightly due to round off error')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.23: 92.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"BC=66.0;//distance in m\n", +"AC=81.6;//distance in m\n", +"xb=3.0;//x coordinate of b\n", +"ya=1.25;//y coordinate of a\n", +"xa=3.3;//x coordinate of a\n", +"theta=23+43.0/60;//angle in degrees\n", +"//calculation\n", +"f=(xa+xb)/2/tan(theta*%pi/180)+sqrt((xa+xb)**2/4/(tan(theta*%pi/180))**2+xa*xb);\n", +"disp(round(f),'focal length in cm');\n", +"aa=atan(ya/sqrt(xa**2+f**2));\n", +"Va=AC*tan(aa);\n", +"ab=atan(-1.87/sqrt(xa**2+f**2));\n", +"Vb=-BC*tan(ab);\n", +"disp(round((Vb+Va)*100)/100,'horizontal distance in m');\n", +"disp('the answer varies slightly due to round off error');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.24: 93.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"Eab=300.0;//average elevation\n", +"f=152.4;//focal length in mm\n", +"xa=28.4;//x coordinate of a\n", +"xb=-22.5;//x coordinate of b\n", +"ya=24.5;//y coordinate of a\n", +"yb=38.4;//y coordinate of b\n", +"Ha=2322.0;//distance in m\n", +"ha=400.0;//elevation of a in m\n", +"hb=200.0;//elevation of b in m\n", +"ab=61.05;//distance in mm\n", +"AB=810;//ground length in m\n", +"//calculation\n", +"Ha=300+AB/ab*f;\n", +"Xa=round((Ha-ha)*100/f*xa)/100;\n", +"Xb=round((Ha-ha)*100/f*xb)/100;\n", +"Ya=round((Ha-hb)*100/f*ya)/100;\n", +"Yb=round((Ha-hb)*100/f*yb)/100;\n", +"AB=sqrt((Xa-Xb)**2+(Ya-Yb)**2);\n", +"disp(round(AB*100)/100,'length AB in m');\n", +"H=300+810/AB*(Ha-Eab);\n", +"Xa=(H-ha)/f*xa;\n", +"Xb=(H-ha)/f*xb;\n", +"Ya=(H-hb)/f*ya;\n", +"Yb=(H-hb)/f*yb;\n", +"AB1=sqrt((Xa-Xb)**2+(Ya-Yb)**2);\n", +"disp(AB1,'corrected length AB in m');\n", +"disp(round(H*1000)/1000,'flying height in m');\n", +"//Xb is calculated wrong in the book that resulted in the error-\n", +"clear()\n", +"" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.25: 94.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"AB=300.0;//length in m\n", +"ab=102.4;//distance in mm\n", +"f=152.4;//focal length in mm\n", +"hab=320.0;//average elevation in m\n", +"d=7.8;//dispalcement in mm\n", +"r=75.4;//distance in mm\n", +"//calculation\n", +"H=hab+AB/ab*f;\n", +"h=d*H/r;\n", +"disp(h,'height difference in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.26: 95.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=152.4;//focal length in mm\n", +"b=74.25;//distance in mm\n", +"ht=100.0;//height in m\n", +"H=700.0;//flying height\n", +"//calculation\n", +"B=b*H/f;\n", +"pb=f*B/H;\n", +"pt=f*B/(H-ht);\n", +"delp=pt-pb;\n", +"disp(round(delp*100)/100,'error due to parallax in mm')\n", +"ht=delp/pt*(H);\n", +"disp(ht,'height of chimney in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.2: 71.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=0.152;//focal length in m\n", +"H=1800;//elevation of topmost point in m\n", +"h=300;//elevation of ground in m\n", +"//calculation\n", +"S=f/(H-h);\n", +"disp(round(1/S),'scale of photograph in 1 in')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.27: 96.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"B=180.0;//height in m\n", +"f=120.0;//focal length in mm\n", +"pa=54.32//parallax in mm\n", +"pb=46.35;//parallax in m\n", +"//calculation\n", +"delH=B*f/pa/pb*(pa-pb);\n", +"disp(delH,'height difference in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.28: 97.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"L1=30000.0;//length in m\n", +"pl=0.6;//overlap\n", +"k=12000.0*0.2;//=l/S and w/S\n", +"pw=0.3;//side lap\n", +"W1=24000;//width in m\n", +"//calculation\n", +"N=round(((L1/((1-pl)*k)+1)+1))*round(((W1/((1-pw)*k)+1)+1));\n", +"disp(N,'no. of photographs taken');\n", +"Nf=N/33-1;//flight strips\n", +"disp(Nf,'no. of flight strips');\n", +"gd=(1-pl)*k;//grounf distance\n", +"disp(gd,'ground distance in m');\n", +"I=gd/(200e3)*60.0*60.0;//exposure interval\n", +"disp(round(I),'exposure interval in s');\n", +"ad=round(I)/60.0/60*200e3;//actual distance\n", +"disp(ad,'actual distance in m');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.3: 72.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=0.150 //focal length in m\n", +"h1=1500.0;//elevation A in m\n", +"h2=1200.0;//elevation B in m\n", +"h3=1000.0;//elevation C in m\n", +"H=3000.0;//height in m\n", +"//calculstion\n", +"hav=1.0/3*(h1+h2+h3);\n", +"S1=f/(H-h1);\n", +"disp(1/S1,'scale of point 1 in 1 in');\n", +"S2=f/(H-h2);\n", +"disp(1/S2,'scale of point 2 in 1 in');\n", +"S3=f/(H-h3);\n", +"disp(round(1/S3),'scale of point 3 in 1 in');\n", +"Sav=f/(H-hav);\n", +"disp(round(1/Sav),'average scale in 1 in');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.4: 73.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"ab=188.0;//distance in m\n", +"AB=120;//distance in m\n", +"Sm=1.0/20000;\n", +"//calculation\n", +"S=ab/AB*Sm;\n", +"disp(1/S,'scale of photograph in 1 in');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.5: 74.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"xa=45.35;\n", +"xb=-40.16;\n", +"f=152.4;//focal length\n", +"H=1500.0;//actual height\n", +"ha=200.0;//height A\n", +"hb=150.0;//height B\n", +"ya=38.41;\n", +"yb=-45.65;\n", +"//calculation\n", +"Xa=xa*(H-ha)/f;\n", +"Ya=ya*(H-hb)/f;\n", +"Xb=xb*(H-ha)/f;\n", +"Yb=yb*(H-hb)/f;\n", +"AB=sqrt((Xb-Xa)**2+(Yb-Ya)**2);\n", +"disp(AB,'distance of AB in m');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.6: 75.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"d=62.4;//displacement in mm\n", +"H=250.0;//height of datum m\n", +"r=115.4;//image distance in mm\n", +"//calculation\n", +"h=H*d/r;\n", +"disp(h,'height of chimney in m')\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.7: 76.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"ra=88.25;//image distance of A in mm\n", +"rb=81.23;//image distance of B in mm\n", +"rc=68.14;//image distance of C in mm\n", +"H=2000.0;// in m\n", +"ha=255;//distance in m\n", +"hb=200;//distance in m\n", +"hc=145;//distance in m\n", +"f=0.1524;//focal length in m\n", +"//calculation\n", +"aa=ra*ha/H;\n", +"disp(aa,'relief distance of A in mm');\n", +"bb=rb*hb/H;\n", +"disp(bb,'relief distance of B in mm');\n", +"cc=rc*hc/H;\n", +"disp(cc,'relief distance of C in mm');\n", +"S=f/H;\n", +"disp(1/S,'scale of photograph in 1 in');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.8: 77.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"f=0.1524;//focal length in m\n", +"S=0.08251/1000;//scale\n", +"//calculation\n", +"H=f/S;\n", +"disp(H,'flying height in m');\n", +"clear()" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.9: 78.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc; funcprot(0);\n", +"// Initialization of Variable\n", +"AB=610;// ground length in m\n", +"Xa=18.35;//in mm\n", +"Xb=106.41;//in mm\n", +"Ya=-62.41;//in mm\n", +"Yb=-21.43;//in mm\n", +"Ha=435;//elevation in m\n", +"Hb=452;//elevation in m\n", +"f=0.1524*1000;//focal length in m\n", +"//calculation\n", +"//solving the quadratic polynomial in H\n", +"//a=(Xb(H-Hb)-Xa(H-Ha))/f\n", +"//b=(Yb(H-Hb)-Ya(H-Ha))/f\n", +"//AB=sqrt(a^2+b^2)\n", +"//0=0.4064-365.929H-289685.07\n", +"//H=poly([-289685.926 -365.929 0.4064],'x','coeff')\n", +"//h=roots(H)\n", +"//disp(h(1),'height required in m')\n", +"function [f]=equation(x)\n", +" f=610^2-((Xb/f*(x-Hb)-Xa/f*(x-Ha))^2+(Yb/f*(x-Hb)-Ya/f*(x-Ha))^2)\n", +"endfunction\n", +"//initial guess\n", +"x=1407;\n", +"//deff('y=f(x)','y=f');\n", +"y=fsolve(x,equation);\n", +"disp(round(y),'height required in m')\n", +"clear()" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |