Battin-Giorgi Method
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A mathematical formulation for computing third-body gravitational perturbation acceleration. By introducing an auxiliary variable q, it avoids direct subtraction of nearly equal large numbers, offering superior numerical stability compared to the classical disturbing-acceleration approach. Applicable to high-accuracy computation of Earth and Sun perturbations in cislunar space.
Application Value
This concept plays an important role in trajectory optimization and mission planning applications.
Related Concepts
- Jacobi Integral
- Coriolis Theorem
- Velocity Function
References
- Battin, 1999, AIAA; Giorgi, 1964; Sanna et al., 2024, Aerospace 11, 460