Linearization

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A method of approximating a nonlinear system near an equilibrium point by expanding nonlinear terms in a Taylor series and discarding higher-order terms. In this paper, the relative motion equations under the CR3BP are linearized assuming the inter-spacecraft distance is much smaller than each spacecraft's distance to the primaries. Linearization is a prerequisite for controller design but is valid only for small relative separations.

Application Value

This concept plays an important role in trajectory optimization and mission planning applications.

References

  • 地月空间航天器绕飞接近跟踪控制
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Contributors: ouyangjiahong, Ou Yang Jiahong