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Angle Between Two Arcs on a Sphere

06/02/2009 9:23 AM

i have two arcs which are part of a two great circles on a sphere i need to find the angle between them and also i need to find the projection of a point on a arc please help me

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#1

Re: Angle between two arcs on a sphere

06/02/2009 9:59 AM
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#2

Re: Angle Between Two Arcs on a Sphere

06/02/2009 11:22 PM

This type of problem is simple and gets resolved frequently when designing in 3D space.

Find a true 3D environment (A free 30 day demo disk of Solidworks is perfect)

You need only learn how to model spheres, a few minutes of practice at best.

Worst case scenario, find a community college that teaches 3D CAD modeling and ask them to have a student solve it.

L.J.

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#3

Re: Angle Between Two Arcs on a Sphere

06/03/2009 12:43 AM

You will need to furnish some sort of coordinates to specify the two arcs, as well as the point in question. Thus far, the data are too limited even to address the problem.

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#4

Re: Angle Between Two Arcs on a Sphere

06/03/2009 5:43 AM

Attach a sketch or pic and explain in more detail

Jim C

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#5

Re: Angle Between Two Arcs on a Sphere

06/03/2009 8:38 AM

The two great circles "define" two planes which both include the centre of the sphere. The angle between the planes is the same as the angle between the arcs.

projection from where?

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#6
In reply to #5

Re: Angle Between Two Arcs on a Sphere

06/07/2009 9:07 PM

This is the right answer. GA. A great circle is a plane intersecting the sphere, and passing through the center.

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