Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation

DOI10.1137/0127016zbMath0293.70011OpenAlexW2012104757MaRDI QIDQ4045713

Lawrence M. Perko

Publication date: 1974

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0127016

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Dynamical systems and ergodic theory (37-XX)

Related Items (11)

Consecutive collision orbits in the limiting case ?=0 of the elliptic restricted problem ⋮ Second-species solutions in the circular and elliptic restricted three- body problem. I: Existence and asymptotic approximation ⋮ A general timing condition for consecutive collision orbits in the limiting case \(\mu{}=0\) of the elliptic restricted problem ⋮ Asymptotic solution of the restricted bounded three-body problem with a mass point moving near a small-mass body ⋮ A note on the elliptic restricted three-body problem ⋮ Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0 ⋮ Second species periodic solutions with an 0(?) near-moon passage ⋮ Asymptotic solution to the restricted three-body problem with a mass point moving near a small-mass body ⋮ Critical generating orbits for second species periodic solutions of the restricted problem ⋮ Second species solutions with an 0(??), 1/3<?<1, near-moon passage ⋮ Periodic orbits

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