where m is the mass of the planet, M is the mass of the star, G is Newton's universal gravitational constant, and L is the planet's orbital angular momentum. It was then claimed that this equation could be reduced to the dimensionally more convenient form
where ε is an energy and σ is a distance. Show that this is the case by finding the explicit form of ε and σ expressed in terms of the original parameters of the problem.
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Last revision 14. October, 2004.