Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term
نویسندگان
چکیده
We study the periodic dynamics of Henon-Heiles Hamiltonian system with additional singular gravitational term . The modelizes how stars move around a galactic center. addition this allows to modelize motion in pseudo or post-Newtonian dynamics. Thus model predict phenomena which cannot be detected by classical Newtonian mechanics. Using averaging theory first order we analytically existence two families orbits generalized system. Moreover characterize when has not second C 1 integral independent Hamiltonian.
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ژورنال
عنوان ژورنال: EPL
سال: 2021
ISSN: ['0295-5075', '1286-4854']
DOI: https://doi.org/10.1209/0295-5075/134/60005