# Eccentricty using energy

Not Reviewed
e =
Tags:
Rating
ID
MichaelBartmess.Eccentricty using energy
UUID
f506bd23-e440-11e3-b7aa-bc764e2038f2

This equation produces the eccentricity, e, with inputs being the orbital energy, E, the angular momentum, L, the reduced mass, m_"red", and the coefficient of the inverse-square law central force, alpha.

# Notes

The orbits and trajectories that can be characterized by eccentricity are:

 elliptical:circular: e = 1parabolic trajectoryhyperbolic trajectory 0 < e < 1e = 1e = 1e> 1