Equation of Motion

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The system of differential equations governing spacecraft motion in a given dynamical model. In the CR3BP, the EOMs are formulated in the synodic (rotating) reference frame and include gravitational attraction from both primaries as well as Coriolis and centrifugal terms arising from the frame rotation, yielding three second-order ODEs. Partial derivatives of the effective potential function form the right-hand side. The EOMs are the mathematical foundation for computing periodic orbits, generating invariant manifolds, and designing transfer trajectories.

Application Value

The 运动方程 concept is applied in cislunar space research, providing technical support or analytical methods for lunar exploration missions.

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References

  • Fossà 等 - 2022 - Two and three impulses phasing strategy with a spacecraft orbiting on an Earth–Moon NRHO