Lambert's Algorithm
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A classical algorithm for solving the two-body orbital two-point boundary value problem: given two position vectors and the transfer time, it determines the connecting orbit and the velocity vectors at both endpoints. It is a fundamental tool for orbit design and mid-course correction to determine initial velocity increments. Classical implementations include Gooding's method and Battin's elegant algorithm. When no singularity exists, Lambert's problem admits two feasible solutions: a short-way and a long-way transfer.
Application Value
Based on its definition, a classical algorithm for solving the two-body orbital two-point boundary value problem: given two position vectors and the transfer time, it determines the connecting orbit and the velocity vectors a.
Related Concepts
- 轨道力学（Orbital Mechanics）
- 坐标系（Coordinate Frame）
- 积分（Integration）
References
- 一种地月转移轨道中途修正的制导算法