Hyperbolic Trajectory - Hyperbolic Excess Velocity

Hyperbolic Excess Velocity

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.