am given an equation (attatched image) and am told that G = newtons gravitational constant, m1 is the mass of the first object, m2 is the mass of the second object, and r is the distance separating them. Consider m1 to be stationary with m2 undergoing uniform circular motion around m1 at a distance r. How do I show that GPE = -2KE for any gravitational circular orbit (where KE is the kinetic energy of object 2).

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I am given an equation (attatched image) and am told that G = newtons gravitational constant, m1 is the mass of the first object, m2 is the mass of the second object, and r is the distance separating them. Consider m1 to be stationary with m2 undergoing uniform circular motion around m1 at a distance r. How do I show that GPE = -2KE for any gravitational circular orbit (where KE is the kinetic energy of object 2).

Gm1m2
GPE =
Transcribed Image Text:Gm1m2 GPE =
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