A Prefixed Patch Time Series Transformer for Two-Point Boundary Value Problems in Three-Body Problems
This work addresses a domain-specific problem for cislunar mission trajectory design, offering a novel computational approach to automate preliminary planning.
The paper tackles the challenge of solving two-point boundary value problems for cislunar trajectories in three-body dynamics, where traditional methods like Lambert's problem fail, by proposing a prefixed patch time series Transformer model that automates solutions from lunar flyby to arbitrary terminal conditions, using forward-propagated training data.
Two-point boundary value problems for cislunar trajectories present significant challenges in circler restricted three body problem, making traditional analytical methods like Lambert's problem inapplicable. This study proposes a novel approach using a prefixed patch time series Transformer model that automates the solution of two-point boundary value problems from lunar flyby to arbitrary terminal conditions. Using prefix tokens of terminal conditions in our deep generative model enables solving boundary value problems in three-body dynamics. The training dataset consists of trajectories obtained through forward propagation rather than solving boundary value problems directly. The model demonstrates potential practical utility for preliminary trajectory design in cislunar mission scenarios.