Force Function

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The negative of the potential function, i.e., F=-V. In the restricted three-body problem, the force function explicitly depends on time in the inertial frame but not in the rotating frame.

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

  • Szebehely - 1967 - Theory of orbit the restricted problem of three bodies
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Contributors: ouyangjiahong, Ou Yang Jiahong