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Specific orbital energy

In the gravitational two-body problem, the specific orbital energy ε {\displaystyle \varepsilon } (or specific vis-viva energy) of two orbiting bodies is the constant quotient of their mechanical energy (the sum of their mutual potential energy, ε p {\displaystyle \varepsilon _{p}} , and their kinetic energy, ε k {\displaystyle \varepsilon _{k}} ) to their reduced mass.

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