Newton-Bisection Hybrid Switching Detection

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A hybrid algorithm for accurately detecting thrust switching times in bang-bang optimal control. Newton's method is used first for rapid convergence (typically 4-5 iterations to machine precision); if it fails or converges outside the search interval, the slower but more robust bisection method is employed. This approach combines Newton's high efficiency with bisection's reliability.

Application Value

This term has application value in the design and analysis of cislunar space missions, supporting trajectory design, mission planning, and system optimization. Researchers can analyze its physical mechanisms and engineering applicability based on specific mission requirements to advance cislunar space exploration technology.

References

  • Zhang et al. 2015, JGCD, doi:10.2514/1.G001080; Martinon and Gergaud 2010, INRIA TR-7380
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Contributors: ouyangjiahong, Ou Yang Jiahong