Hyperbolic Trajectory - Hyperbolic Excess Velocity

Hyperbolic Excess Velocity

See also: Characteristic energy

Under standard assumptions the body traveling along hyperbolic trajectory will attain in infinity an orbital velocity called hyperbolic excess velocity that can be computed as:

where:

  • is standard gravitational parameter,
  • is the negative semi-major axis of orbit's hyperbola.

The hyperbolic excess velocity is related to the specific orbital energy or characteristic energy by

is commonly used in planning interplanetary missions.

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