Manifold Positive/Negative Branch

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Each invariant manifold (stable or unstable) splits into a positive and a negative branch, corresponding to two distinct asymptotic directions in phase space. Both branches of a stable manifold approach the target orbit but occupy different regions of phase space, resulting in different accessible regions when used for transfers from the Moon or Earth.

Application Value

This concept plays an important role in cislunar space trajectory design and transfer planning, enabling analysis of orbital characteristics and design of low-energy transfer schemes.

References

  • Low-Energy Transfers in the Earth-Moon System (Alessi et al., 2011)
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Contributors: ouyangjiahong, Ou Yang Jiahong