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I am looking into finding geodesic distances for an ellipsoid. I will designate two points then find the distance between them. This will be my geodesic distance. I have put together a schematic (attached) for reference. Ultimately I need to know the distance D as shown on the attachment. I figured if I found β I could use the law of cosines to figure the distance D. I have also been reading a book that states D = √(ρ_{1}^{2}+ ρ_{2}^{2}- 2ρ_{1}ρ_{2}(cosθ_{1}cosθ_{2}+ cos (ø_{1}- ø_{2}) sinθ_{1}sinθ_{2})) I cannot figure out the way this equation was derived so I am not sure if it will work.

Please let me know if you have a solution.

Thank you,

- Jonathan

View attachment Spherical Coordinate System.pdf

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# Spherical Coordinates: Distance Between 2 Points

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