Coordinates Converter Files

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---------COORDINATES CONVERTER FOR STUDENTS version 1.0.0.0



---------PROGRAM (freeware)



---------Designed by CHU Vegetta

                  

---------Date: 20-AUGUST-2013







This is a small program to convert coordinates from cartesian system to polar and vice versa.

There are two options. The first is about the 2-D space, where you can convert the coordinates

from cartesian to polar system and vice versa. The second option is about the 3-D space

where you can convert from cartesian system to spherical and cylindrical and so on.





--------HOW TO USE THE PROGRAM



This program is very easy to use.



1) select 2-D or 3-D

2) Select what you want to convert

3) Press the 'RUN' button and see the results.



SEE IMPORTANT NOTES BELOW FOR HOW TO INPUT THE DATA!!





--------PROGRAM FUNCTIONS



1) RUN button: Press it to execute the program and convert your data

2) CLEAR button: Clear all data

3) CONVERT button: This is a small application to convert an angle from degrees to radians and vice versa

4) INFO button: Information about the program.





--------MATH EQUATIONS





In this section we are going to present the equations of the coordinates conversion



-------

1) 2-D SPACE





a) CARTESIAN TO POLAR CONVERSION: (X,Y)-->(r,theta)



Let assume X as longitude and Y as latitude of the cartesian system. (X,Y)

Also, let assume r as radius and theta as the azimuth angle of the polar system. (r, theta)

We use the following equations to convert in polar system 



r=SQRT(X^2+Y^2)

theta=ARCTAN(Y/X)





b) POLAR TO CARTESIAN CONVERSION: (r,theta)-->(X,Y)



Let assume X as longitude and Y as latitude of the cartesian system. (X,Y)

Also, let assume r as radius and theta as the azimith angle of the polar system. (r,theta)

We use the following equations to convert in cartesian system.



X=r*COS(theta)

Y=r*SIN(theta)





-------

2) 3-D SPACE





a) CARTESIAN TO CYLINDRICAL AND SPHERICAL CONVERSION: (X,Y,Z)--> (r,theta,h) and (r,theta,phi)



Let assume X as longitude, Y as latitude and Z as altitude of the cartesian system. 

Let assume r as radius, theta as the azimuth angle and h as altitude of the cylindrical system. 

Also, let assume r as radius, theta as the azimuth angle and phi as the polar angle of the spherical system.



-Azimuth angle (theta)--> The horizontal angle measured on the XY plane from the X axis in the counterclockwise direction. 

-Polar angle also known as zenith angle or elevation (phi)--> The angle measured from the Z axis



We use the following equations to convert in cylindrical and spherical system.





i) CARTESIAN TO CYLINDRICAL: (X,Y,Z)--> (r,theta,h)

r=SQRT(X^2+Y^2)

theta=ARCTAN(Y/X)

h=Z





ii) CARTESIAN TO SPHERICAL (X,Y,Z)--> (r,theta,phi)

r=SQRT(X^2+Y^2+Z^2)

theta=ARCTAN(Y/X)

phi=ARCTAN(SQRT((X^2+Y^2)/Z))





b) SPHERICAL TO CARTESIAN AND CYLINDRICAL CONVERSION: (r,theta,phi)--> (X,Y,Z) and (r,theta,h)



Let assume X as longitude, Y as latitude and Z as altitude of the cartesian system. (X,Y,Z)

Let assume r as radius, theta as the azimuth angle and h as altitude of the cylindrical system. (r,theta,h)

Also, let assume r as radius, theta as the azimuth angle and phi as the polar angle of the spherical system. (r,theta,phi)



-Azimuth angle (theta)--> The horizontal angle measured on the XY plane from the X axis in the counterclockwise direction. 

-Polar angle also known as zenith angle or elevation (phi)--> The angle measured from the Z axis



We use the following equations to convert in cylindrical and spherical system.





i) SPHERICAL TO CARTESIAN: (r,theta,phi)--> (X,Y,Z)

X=r*SIN(phi)*COS(theta)

Y=r*SIN(phi)*SIN(theta)

Z=r*COS(phi)





ii) SPHERICAL TO CYLINDRICAL: (r,theta,phi)--> (r,theta,h)

r_cylindrical=r_spherical*SIN(phi)

theta_cylindrical=theta_spherical

h=r*COS(phi)



c) CYLINDRICAL TO CARTESIAN AND SPHERICAL CONVERSION: (r,theta,h)--> (r,theta,phi) and (X,Y,Z)



Let assume X as longitude, Y as latitude and Z as altitude of the cartesian system. (X,Y,Z)

Let assume r as radius, theta as the azimuth angle and h as altitude of the cylindrical system. (r,theta,h)

Also, let assume r as radius, theta as the azimuth angle and phi as the polar angle of the spherical system. (r,theta,phi)



-Azimuth angle (theta)--> The horizontal angle measured on the XY plane from the X axis in the counterclockwise direction. 

-Polar angle also known as zenith angle or elevation (phi)--> The angle measured from the Z axis



We use the following equations to convert in cartesian and spherical system.





i) CYLINDRICAL TO CARTESIAN: (r,theta,h)--> (X,Y,Z)

X=r*COS(theta)

Y=r*SIN(theta)

Z=h





ii) CYLINDRICAL TO SPHERICAL: (r,theta,h)--> (r,theta,phi)

r_spherical=SQRT(r_cylindrical^2+h^2)

theta_spherical=theta_cylindrical

phi=ARCTAN(r_cylindrical/h)





---------------------------IMPORTANT NOTES---------------------------





1) Use the dot (.) symbol for demical numbers!!

2) Give angles in degrees, not radians!!







[CONTACT]

----------------------------------------------------------------------------------------------------------------------

If you face problems contact me. e-mail e-goum@hotmail.com

Blog (my trainers)--> http://vegettadbz.blogspot.com



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