Abstract
view Abstract Citations (1) References (7) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A method for obtaining Hamiltonians with simple periodic solutions Caranicolas, N. ; Diplas, A. Abstract The authors present a method for obtaining Hamiltonian systems with accurate periodic solutions. The general solution of a degenerate integrable Hamiltonian is expressed in a polynomial form when the ratio of the frequencies q = ω1/ω2 is an integer, or as a power series when q is a rational number. Adding this expression as a perturbation in the above Hamiltonian, a new nontrivial Hamiltonian with one exact periodic solution is obtained. Some possible applications of these findings are also discussed. Publication: The Astronomical Journal Pub Date: March 1986 DOI: 10.1086/114049 Bibcode: 1986AJ.....91..660C Keywords: Celestial Mechanics; Hamiltonian Functions; Periodic Functions; Stellar Orbits; Astrodynamics; Elliptical Orbits; Orbit Perturbation; Polynomials; Power Series; Astrophysics full text sources ADS |
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