Parabolic Trajectory - Energy

Energy

Under standard assumptions, specific orbital energy of parabolic trajectory is zero, so the orbital energy conservation equation for this trajectory takes form:

where:

  • is orbital velocity of orbiting body,
  • is radial distance of orbiting body from central body,
  • is the standard gravitational parameter.

This is entirely equivalent to the characteristic energy (square of the speed at infinity) being 0:

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