θ-r Section Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A Poincare section construction method that uses angle and distance as coordinates. θ is the angle between the velocity direction and the section normal, and r is the distance from the intersection point to Earth. This method uses coordinates (r, θ) instead of traditional (x, ẋ) or (y, ẏ), providing a more intuitive representation of the geometric relationship between the manifold and target orbit sections, facilitating the search for patching points on the Poincare section. In three-dimensional space, it extends to four coordinates (r̄, θ, β, γ).

Application Value

θ-r Section Method plays an important role in orbit maneuver design, analysis, and transfer planning for cislunar missions.

References

  • 乔琛远和杨乐平 - 2024 - 地月L1点低能转移轨道设计与优化
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Contributors: ouyangjiahong, Ou Yang Jiahong