Conjugate Momenta

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Momentum variables corresponding to generalized coordinates in Hamiltonian mechanics, obtained by partial derivative of Lagrangian with respect to generalized velocities.

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

  • Cuevas del Valle 等 - 2023
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Contributors: ouyangjiahong, Ou Yang Jiahong