Null Space Vector

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A vector in the null space of the Jacobian matrix. In pseudo-arc continuation, the null space vector direction serves as the search direction for the prediction step, enabling the correction step to slide along the solution curve without deviating.

Application Value

This term has significant application value in cislunar space missions。In the orbital design phase, engineers use relevant theories for trajectory optimization；In navigation and orbit determination, it is used to improve measurement accuracy；In attitude control and orbit maintenance tasks, it ensures stable spacecraft operation。In practical applications, parameter optimization and algorithm adaptation can be combined with mission requirements to improve mission success rate and resource utilization efficiency。

  • Characteristic Exponents
  • Capture Docking Phase
  • Lunar Flyby Transfer

References

  • 张晨, 2024, 北京航空航天大学学报
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Contributors: ouyangjiahong, Ou Yang Jiahong