CRTBP Nondimensional Units

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A set of nondimensional units defined in the circular restricted three-body problem (CRTBP) to eliminate numerical scale disparities. The distance unit (DU) equals the primary separation R, the time unit (TU) equals the inverse angular velocity ω⁻¹, the mass unit (MU) equals the initial spacecraft mass m₀, and the force unit (FU) = MU·DU/TU². Under this normalization the CRTBP equations depend only on the mass ratio μ, unifying the numerical scale and improving optimization convergence.

Application Value

The CRTBP无量纲单位 concept provides technical support and analytical methods for cislunar space research and lunar exploration missions.

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References

  • Aziz et al. 2019, JGCD