Families of Symmetric Periodic Solutions of Hill's Problem I: First Species Periodic Solutions for C ≪-1

Lawrence M. Perko

doi:10.2307/2374162

Families of Symmetric Periodic Solutions of Hill's Problem I: First Species Periodic Solutions for C ≪-1

American Journal of Mathematics ◽

10.2307/2374162 ◽

1982 ◽

Vol 104 (2) ◽

pp. 321 ◽

Cited By ~ 4

Author(s):

Lawrence M. Perko

Keyword(s):

Periodic Solutions ◽

Hill’S Problem ◽

Hill's Problem

Three-dimensional periodic solutions around equilibrium points in Hill's problem

Celestial Mechanics ◽

10.1007/bf01227656 ◽

1985 ◽

Vol 35 (3) ◽

pp. 257-267 ◽

Cited By ~ 17

Author(s):

C. Zagouras ◽

V. V. Markellos

Keyword(s):

Periodic Solutions ◽

Equilibrium Points ◽

Three Dimensional ◽

Hill’S Problem ◽

Hill's Problem

Symmetric periodic solutions of the Hill’s problem. I

Cosmic Research ◽

10.1134/s0010952513040035 ◽

2013 ◽

Vol 51 (4) ◽

pp. 275-288 ◽

Cited By ~ 3

Author(s):

A. B. Batkhin

Keyword(s):

Periodic Solutions ◽

Hill’S Problem ◽

Hill's Problem

Families of Symmetric Periodic Solutions of Hill's Problem II: Second Species Periodic Solutions for C ≪-1

American Journal of Mathematics ◽

10.2307/2374163 ◽

1982 ◽

Vol 104 (2) ◽

pp. 353 ◽

Cited By ~ 4

Author(s):

Lawrence M. Perko

Keyword(s):

Periodic Solutions ◽

Hill’S Problem ◽

Hill's Problem

Symmetric periodic solutions of the Hill’s problem. II

Cosmic Research ◽

10.1134/s0010952513050018 ◽

2013 ◽

Vol 51 (6) ◽

pp. 452-464 ◽

Cited By ~ 4

Author(s):

A. B. Batkhin

Keyword(s):

Periodic Solutions ◽

Hill’S Problem ◽

Hill's Problem

Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0

Celestial Mechanics ◽

10.1007/bf01234301 ◽

1983 ◽

Vol 30 (2) ◽

pp. 115-132 ◽

Cited By ~ 10

Author(s):

L. M. Perko

Keyword(s):

Periodic Solutions ◽

Restricted Problem ◽

Hill’S Problem ◽

Hill's Problem

Hierarchy of periodic solutions families of spatial Hill’s problem

Solar System Research ◽

10.1134/s0038094609020105 ◽

2009 ◽

Vol 43 (2) ◽

pp. 178-183 ◽

Cited By ~ 2

Author(s):

A. B. Batkhin ◽

N. V. Batkhina

Keyword(s):

Periodic Solutions ◽

Hill’S Problem ◽

Hill's Problem

Periodic Orbits Close to That of the Moon in Hill's Problem

Frontiers in Astronomy and Space Sciences ◽

10.3389/fspas.2018.00020 ◽

2018 ◽

Vol 5 ◽

Author(s):

Giovanni B. Valsecchi

Keyword(s):

Periodic Orbits ◽

The Moon ◽

Hill’S Problem ◽

Hill's Problem

Three-Dimensional Version of Hill's Problem with Variable Mass

Письма в астрономический журнал Астрономия и космическая астрофизика ◽

10.31857/s0320010821040045 ◽

2021 ◽

Vol 47 (04) ◽

pp. 300-300

Author(s):

F. Bouaziz-Kellil

Keyword(s):

Variable Mass ◽

Three Dimensional ◽

Hill’S Problem ◽

Dimensional Version ◽

Hill's Problem

Escape in Hill's problem

The Restless Universe ◽

10.1887/0750308222/b471c7 ◽

2004 ◽

Cited By ~ 1

Author(s):

Douglas C Heggie

Keyword(s):

Hill’S Problem ◽

Hill's Problem

On The Stability of Stationary Solutions of the Twice-Averaged Hill’s Problem Taking Into Account The Planet Oblateness

International Astronomical Union Colloquium ◽

10.1017/s0252921100073152 ◽

1999 ◽

Vol 172 ◽

pp. 457-457

Author(s):

M.A. Vashkovyak

Keyword(s):

Orbital Evolution ◽

Stationary Solutions ◽

Circular Orbits ◽

Hill’S Problem ◽

Hill's Problem ◽

The Stability

The problem of satellite orbital evolution with the combined influence of a distant perturbing body and the planet oblateness is well known (Laplace, 1805; Lidov, 1962, 1973; Kozai, 1963; Kudielka, 1994, 1997). The case of near-circular orbits is investigated in more details in (Sekiguchi, 1961; Allan and Cook, 1964; Vashkovyak, 1974).