Gauss-type Perturbation Equations

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Equations of variation for orbital elements derived by decomposing perturbation acceleration into three components: radial (S), tangential (T), and normal-to-orbital-plane (W). Compared with Lagrange-type equations that decompose perturbation forces along Cartesian axes, Gauss-type equations are more intuitive for numerical integration, especially for computing non-central perturbations such as low-thrust and atmospheric drag.

Application Value

This term has significant application value in cislunar space missions。In the orbital design phase, engineers use relevant theories for trajectory optimization；In navigation and orbit determination, it is used to improve measurement accuracy；In attitude control and orbit maintenance tasks, it ensures stable spacecraft operation。In practical applications, parameter optimization and algorithm adaptation can be combined with mission requirements to improve mission success rate and resource utilization efficiency。

  • Characteristic Exponents
  • Capture Docking Phase
  • Lunar Flyby Transfer

References

  • 适用于圆锥曲线的统一根数在地月空间目标轨道预报的应用
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Contributors: ouyangjiahong, Ou Yang Jiahong