Variational Equations

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A system of differential equations governing the evolution of the state transition matrix along an orbit, in the form dPhi/dt = A * Phi, where A is the Jacobian of force F with respect to state X. The eigenvalues of the variational equation determine the properties of the state transition matrix and thus the observability of the orbit.

Application Value

变分equationdescribe状态transfermatrix of 演化, 其特征值决定orbit of 可观性. In orbitdesign敏感性analysis和可观性analysis中, 变分equation is core工具.

References

  • 测绘学报, 2013, 42(2): 184-190
  • Meyer和Offin - 2017
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Contributors: ouyangjiahong, Ou Yang Jiahong