Velocity Wedge

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

In the phase space near a libration point, velocity boundary conditions defining transit orbits. Initial velocities inside the velocity wedge correspond to transit orbits; velocities on the wedge boundary correspond to asymptotic orbits (coinciding with manifold curves); velocities outside are non-transit. This concept translates manifold tube boundary conditions into velocity-space constraints, facilitating numerical computation of transit orbits.

Application Value

In orbital design, analysis, and control, dynamics models are used to predict spacecraft trajectories, with equations of motion solved numerically or analytically. This concept underpins critical mission capabilities including orbital maneuver design, orbit improvement, and formation flying.

References

  • Transfer to Distant Retrograde Orbits Using Manifold Theory
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong