Primer vector equation

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A second-order linear ODE p̈ = G(r) p governing the evolution of the primer vector along a trajectory, where G(r) is the gravity gradient matrix. Its transition matrix is identical to the state variational equation's transition matrix.

Application Value

引燃矢量equationdescribe引燃矢量沿轨迹 of 演化, 其状态transfermatrix and orbit变分equationidentical. is 引燃矢量theory of 数学core, 也 is analysis脉冲transferoptimal性 of 工具.

  • Orbital State Vector
  • Coordinate Time
  • Hill Frame
  • Kepler's Laws

References

  • Prussing - 2010 - Primer vector theory and applications
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Contributors: ouyangjiahong, Ou Yang Jiahong