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## Main Question or Discussion Point

According to the concept: when a planet revolves around a star, and when both the bodies move in circular orbits due to the interaction between each other, both the bodies can be replaced by a single body of mass ##\mu## revolving in a circular orbit of radius equal to the distance between both the bodies.

so the total energy of the system becomes ##\frac{1}{2}\mu v^2##

But it is positive. The total energy has to be be negetive

##-\frac{GMm}{r}+E_1+E_2## where e1, e2 are kinetic energies of the bodies comes out to be negetive after solving.

Why do I get positive sign using concept of reduced mass?

so the total energy of the system becomes ##\frac{1}{2}\mu v^2##

But it is positive. The total energy has to be be negetive

##-\frac{GMm}{r}+E_1+E_2## where e1, e2 are kinetic energies of the bodies comes out to be negetive after solving.

Why do I get positive sign using concept of reduced mass?