Specific Orbital Energy - Rate of Change

Rate of Change

For an elliptical orbit the rate of change of the specific orbital energy with respect to a change in the semi-major axis is

where

  • is the standard gravitational parameter;
  • is semi-major axis of the orbit.

In the case of circular orbits, this rate is one half of the gravity at the orbit. This corresponds to the fact that for such orbits the total energy is one half of the potential energy, because the kinetic energy is minus one half of the potential energy.

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