Universal Variable Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A numerical method for solving Lambert's problem that introduces universal variables to establish a unified time equation (without distinguishing between elliptic, parabolic, and hyperbolic orbit types), solved by Newton's iteration. This method avoids the need for different formulas for different conic sections, offering broad applicability and good computational stability, commonly used in orbit transfer calculations under perturbation.

Application Value

In orbital design, analysis, and control, dynamics models are used to predict spacecraft trajectories, with equations of motion solved numerically or analytically. This concept underpins critical mission capabilities including orbital maneuver design, orbit improvement, and formation flying.

References

  • 赵弘骞等 - 2021 - 基于动态规划的月面定点着陆快速制导方法
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Contributors: ouyangjiahong, Ou Yang Jiahong