On the identification of multiple close encounters in the planar circular restricted three-body problem | Zendy

Massimiliano Guzzo | Zendy; Elena Lega | Zendy

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On the identification of multiple close encounters in the planar circular restricted three-body problem

Author(s) -

Massimiliano Guzzo,

Elena Lega

Publication year - 2012

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/sts225

Subject(s) - physics , three body problem , planar , asteroid , hierarchy , circular orbit , celestial mechanics , constant (computer programming) , identification (biology) , classical mechanics , astrophysics , astronomy , computer graphics (images) , botany , computer science , biology , economics , market economy , programming language

We describe a technique which allows us to numerically detect orbits of the planar circular restricted three-body problem with multiple close encounters with the secondary mass for values of the Jacobi constant C < 3 + μ2 - 4μ. We find that these orbits are organized in structures which, on Poincaŕe surfaces of sections, appear as a hierarchy of lobes. The detection of multiple close encounters has implications in cometary dynamics as well as in the study of steroids with potential impact risk with the Earth

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