Gauss Planetary Equations

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A set of differential equations expressing the time derivatives of classical orbital elements in terms of radial, tangential, and normal disturbing force components. Unlike Lagrangian perturbation equations (which use potential functions), Gauss equations directly handle non-conservative forces such as thrust and drag, and are widely used in orbital maneuver and low-thrust trajectory design.

Application Value

This concept is fundamental to cislunar orbital mechanics and mission analysis, providing essential theoretical support for trajectory design and operational planning.

  • Retrograde Motion
  • Absolute Phase Bias
  • Relative Attitude Quaternion
  • Radial-Tangential-Normal Coordinate System, RTN

References

  • Yang H. - 2007 - Earth-moon trajectory optimization using solar electric propulsion
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Contributors: ouyangjiahong, Ou Yang Jiahong