Show that the central angle between points P and Q on a sphere (of any radius)

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Show that the central angle ψ between points P and Q on a sphere (of any radius) with angular coordinates (θ, ϕ') and (θ, θ') is equal to

= cos (sino sino' cos(0-8) + cos cos')

Compute the dot product of OP and O. Check this formula by computing the geodesic distance between the North

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 03, 2024 07:05 AM

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Show that the central angle between points P and Q on a sphere (of any radius)

Question:

= cos (sin sin d' cos(0-8) + cos o cos ')

Step by Step Answer:

have We denote the vectors u OP and vi u V luv Denoting by R the radius of the sphere we h...View the full answer

Calculus

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