Multirevolution Lambert Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A generalization of the classical Lambert problem that allows transfer trajectories to complete multiple revolutions (N = 1, 2, ...) between two positions. For ballistic arcs, multirevolution solutions are distinguished by short-way/long-way branches. For exponential sinusoids, the paper proves time of flight is monotone in the initial flight-path angle, eliminating the need for branch distinctions and yielding a simpler mathematical structure. Multirevolution solutions correspond to longer transfer times and can reduce thrust requirements for deep space missions.

Application Value

Based on its definition, a generalization of the classical lambert problem that allows transfer trajectories to complete multiple revolutions (n = 1, 2, ...) between two positions. for ballistic arcs, multirevolution solution.

Related Concepts

• 三体问题（Three-Body Problem）
• 最优控制（Optimal Control）
• 轨迹优化（Trajectory Optimization）

References

• Izzo - 2006 - Lambert's problem for exponential sinusoids