Explanation Of The Spherical Coordinate Systems

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There are different types of coordinate systems that are developed for different reasons. One of these coordinate systems is the spherical coordinate system. You can find brief information about the spherical coordinate systems in this article. 

What Is The Spherical Coordinate System?

Spherical coordinate system(Image Source:www.researchgate.net/figure/The-spherical-coordinate-system-where-th-0-p-is-the-polar-angle-ph-0-2p-is_fig3_316068127).

For 3D positionings, different kinds of coordinate systems are developed and one of these coordinate systems is the spherical coordinate system. As you understand from its name, the positioning is made on a sphere in 3D space. This positioning is made with these elements; 

  • The first indicator of the spherical coordinate system is the radius. This radius gives the distance between the point to be positioned and the center(origin) of the sphere. 
  • The second indicator is the angle. This is the angle between the radius and the X-axis. 
  • The third and last indicator is the angle between the radius line and the X-Y plane. X-Y plane is the ecuador plane of the sphere. 

For example, if a location is given as (100, 50, 40) for a spherical coordinate system, you can understand that the length of the radius line is 100 units. The angle between the radius line and the X-axis is 50 degrees and the angle between the radius line and the X-Y plane is 40 degrees. 

Conclusion

The logic of the spherical coordinate systems is very simple like this. 

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