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<p>Chaotic trajectories are often overlooked in the study of cislunar motion due to their ergodic behaviour. However, their long-term evolution is restricted by dynamical barriers. These riers correspond to quasi-periodic trajectories that partition neighbourhoods of the cislunar environment. We rapidly compute invariant curves associated with these quasi-periodic trajectories using semi-analytical approximations of a planar circular restricted three-body problem (PCR3BP) periapsis map, yielding interior and exterior region Keplerian maps. For a range of energies corresponding to the opening of the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> gateways, we identify barriers that prevent transport from the exterior region to the near-Earth regime. For lower energies, we also find barriers inhibiting transport from beyond cislunar space into the Earth–Moon system. These barriers are validated with numerical integration in the Earth-Moon PCR3BP.</p>

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Identifying cislunar transport barriers with Keplerian maps

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  • 出版模式：

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  • 发表日期：

    2026年7月23日

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  • Oliver H. Boodram,
  • Damennick B. Henry,
  • Daniel J. Scheeres

摘要

Chaotic trajectories are often overlooked in the study of cislunar motion due to their ergodic behaviour. However, their long-term evolution is restricted by dynamical barriers. These riers correspond to quasi-periodic trajectories that partition neighbourhoods of the cislunar environment. We rapidly compute invariant curves associated with these quasi-periodic trajectories using semi-analytical approximations of a planar circular restricted three-body problem (PCR3BP) periapsis map, yielding interior and exterior region Keplerian maps. For a range of energies corresponding to the opening of the \(L_1\) L 1 and \(L_2\) L 2 gateways, we identify barriers that prevent transport from the exterior region to the near-Earth regime. For lower energies, we also find barriers inhibiting transport from beyond cislunar space into the Earth–Moon system. These barriers are validated with numerical integration in the Earth-Moon PCR3BP.