Perturbed Lambert Problem
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A two-point boundary value problem that extends the classical Lambert problem (finding a connecting orbit given two position vectors and flight time) by incorporating multi-body gravitational perturbations. Unlike the classical Lambert problem which assumes two-body conditions, the perturbed Lambert problem requires numerical shooting methods. The paper applies it to compute intermediate arc trajectories far from both Earth and Moon, determining two mid-course impulse vectors.
Application Value
A two-point boundary value problem that extends the classical Lambert problem (finding a connecting orbit given two position vectors and flight time) by incorporating multi-body gravitational perturbations. Unlike the classical Lambert problem which assumes two-body conditions, the perturbed Lambert problem requires numerical shooting methods. The paper applies it to compute intermediate arc trajectories far from both Earth and Moon, determining two mid-course impulse vectors.
Related Concepts
- Bivariate Gaussian Distribution
- Midcourse Impulse
- Zero-Thrust Reference Trajectory
- Co-state Variables
References
- 宝音贺西 等 - 2025 - 地月空间DRO航班化往返转移多脉冲轨迹优化
- Duan 等 - 2025