On a particular restricted five-body problem. An analysis with computer algebra
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Publication:1104788
DOI10.1016/S0747-7171(88)80027-0zbMath0647.70015OpenAlexW1974727889MaRDI QIDQ1104788
Publication date: 1988
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0747-7171(88)80027-0
linear stability analysiscomputer algebraREDUCErestricted five-body problemexistence of Lagrangian pointsmuMATH
Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)
Related Items (8)
BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY ⋮ Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of \(\nu +1\) bodies ⋮ On a restricted (2n+3)-body problem ⋮ Periodic motions and their stability in a \(N=\nu+1\)-body regular polygonal configuration ⋮ NUMERICAL INVESTIGATION OF PERIODIC MOTION IN THE THREE-DIMENSIONAL RING PROBLEM OF N BODIES ⋮ On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies ⋮ Impact of the mass parameter on particle dynamics in a ring configuration of \(N\) bodies ⋮ The Restricted Five-Body Problem With Cyclic Kite Configuration
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