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fer Mnaj
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- Homework Statement
- If we have motion in a circular orbit of a body of mass m subject to the gravitational force of the Sun.
Consider the approximation for M >> m in which the Sun is located at the center of mass and μ = m.
How to show that the total mechanical energy associated with the movement of this body fulfills that
##E = −1 / 2U## ?
where U is the gravitational potential energy of m due to M
- Relevant Equations
- ##-∇U= -G Mm/r^2##
Any idea? I am pretty lost