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jsbxd9
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Hello,
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 = √(ρ12 + ρ22 - 2ρ1ρ2 (cosθ1cosθ2 + cos (ø1 - ø2) sinθ1 sinθ2)) 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
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 = √(ρ12 + ρ22 - 2ρ1ρ2 (cosθ1cosθ2 + cos (ø1 - ø2) sinθ1 sinθ2)) 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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