Timing Constraint Design

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The process of converting geometric solutions from the CR3BP into trajectories that satisfy timing conditions in the full ephemeris model. The core idea is to determine the correct Earth–Moon system orientation at the transfer epoch via angle relationships (linear or quadratic fits of α, β, and ψ), so that the manifold tubes still intersect at the real celestial configuration. All zero-cost transfers in the ephemeris model depend on accurate timing constraints.

Application Value

在轨道设计和转移轨道优化中，该方法用于确定最优转移时机和轨道形状，以最小化燃料消耗或飞行时间. 通过数值仿真和迭代优化，可获得满足任务约束的可行轨道方案.

Related Concepts

• Hill 模型（Hill Model）
• 惯性坐标系固定编队（Formation Fixed Relative to Inertial Frame）
• 受摄Lambert问题（Perturbational Lambert Problem）
• 探测器定位（Probe Targeting）

References

• Howell and Kakoi, 2006, Acta Astronautica