Precomputed Variational Data

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A strategy of precomputing and storing state transition matrices and tensors by integrating variational equations around a reference trajectory. The time span is divided into 2^m equal intervals, on each of which first- and second-order variational equations are integrated and stored. During the online phase, cocycle conditions compose the precomputed data, avoiding numerical integration for each new optimal control problem.

Application Value

This concept is essential for understanding motion characteristics in spacecraft dynamics analysis and design, and plays a vital role in mission success.

References

  • Kulik et al., 2023, JGCD, doi:10.2514/1.G007311
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