Analytical criteria of Hill stability in the elliptic restricted three body problem

[1]  Shengping Gong,et al.  Planetary capture and escape in the planar four-body problem , 2015 .

[2]  Shengping Gong,et al.  Solar sail periodic orbits in the elliptic restricted three-body problem , 2015 .

[3]  S. Sosnitskii On the bounded symmetrical motions in the three-body problem , 2014 .

[4]  Shijie Xu,et al.  Lunar capture in the planar restricted three-body problem , 2014 .

[5]  Z. Makó Connection between Hill stability and weak stability in the elliptic restricted three-body problem , 2014 .

[6]  J. R. Donnison Limits on the Orbits of Possible Eccentric and Inclined Moons of Extrasolar Planets Orbiting Single Stars , 2014 .

[7]  Shijie Xu,et al.  Gravitational lunar capture based on bicircular model in restricted four body problem , 2014 .

[8]  N. Georgakarakos The dependence of the stability of hierarchical triple systems on the orbital inclination , 2013, 1302.5599.

[9]  Xiaodong Liu,et al.  The Hill stability of triple minor planets in the Solar system , 2012, 1211.4096.

[10]  L. G. Luk’yanov A coordinate form for the Sundman surfaces in the general three-body problem , 2011 .

[11]  J. R. Donnison The Hill stability of binary asteroid and binary Kuiper Belt systems , 2011 .

[12]  Z. Makó,et al.  Stable and unstable orbits around Mercury , 2010 .

[13]  J. R. Donnison The Hill stability of the possible moons of extrasolar planets , 2010 .

[14]  Yi-sui Sun,et al.  The Hill stability of low mass binaries in hierarchical triple systems , 2010 .

[15]  Shijie Xu,et al.  Exploration of distant retrograde orbits around Moon , 2009 .

[16]  J. R. Donnison The Hill stability of inclined bound triple star and planetary systems , 2009 .

[17]  Z. Makó,et al.  About the Hill stability of extrasolar planets in stellar binary systems , 2008 .

[18]  Nikolaos Georgakarakos,et al.  Stability criteria for hierarchical triple systems , 2008, 1408.5431.

[19]  L. G. Luk’yanov,et al.  Sundman surfaces and Hill stability in the three-body problem , 2007 .

[20]  J. R. Donnison The Hill stability of a binary or planetary system during encounters with a third inclined body , 2006 .

[21]  Z. Makó,et al.  Capture in the Circular and Elliptic Restricted Three-Body Problem , 2004 .

[22]  R. Dvorak,et al.  Stability limits in double stars - A study of inclined planetary orbits , 2003 .

[23]  A. Zakharov,et al.  Stability of Triple Star Systems with Highly Inclined Orbits , 2003, astro-ph/0302464.

[24]  R. Brasser Hill stability of a triple system with an inner binary of large mass ratio , 2002 .

[25]  M. Holman,et al.  Long-Term Stability of Planets in Binary Systems , 1996, astro-ph/9809315.

[26]  P. Eggleton,et al.  An Empirical Condition for Stability of Hierarchical Triple Systems , 1995 .

[27]  V. Orlov,et al.  Instability of close triple systems with coplanar initial doubly circular motion , 1994 .

[28]  V. Szebehely,et al.  Stability of outer planetary orbits around binary stars: A comparison of Hill's and Laplace's stability criteria , 1993 .

[29]  J. R. Donnison The effects of eccentricity on the hierarchical stability of low-mass binaries in three-body systems , 1988 .

[30]  I. Williams,et al.  The hierarchical stability of satellite systems , 1985 .

[31]  J. R. Donnison The stability of binary star systems during encounters with a third star , 1984 .

[32]  G. Valsecchi,et al.  The effect of orbital eccentricities on the shape of the hill-type analytical stability surfaces in the general three-body problem , 1984 .

[33]  I. Williams,et al.  The stability of coplanar three-body systems with application to the solar system , 1983 .

[34]  D. Black A simple criterion for determining the dynamical stability of three-body systems , 1982 .

[35]  A. Roy,et al.  Stability criteria in many-body systems , 1981 .

[36]  K. Zare Bifurcation points in the planar problem of three bodies , 1977 .

[37]  R. Harrington Planetary orbits in binary stars , 1977 .

[38]  V. Szebehely Analytical determination of the measure of stability of triple stellar systems , 1977 .

[39]  G. Bozis Zero velocity surfaces for the general planar three-body problem , 1976 .

[40]  R. Harrington Production of triple stars by the dynamical decay of small stellar systems , 1975 .

[41]  D. Saari,et al.  Hill regions for the general three-body problem , 1975 .

[42]  D. Saari Restrictions on the Motion of the Three-Body Problem , 1974 .

[43]  R. Easton Some topology of the 3-body problem , 1971 .

[44]  S. Smale,et al.  Topology and mechanics. I , 1970 .

[45]  S. Smale,et al.  Topology and mechanics. II , 1970 .

[46]  V. Szebehely,et al.  On the elliptic restricted problem of three bodies , 1964 .

[47]  V. Szebehely Zero velocity curves and orbits in the restricted problem of three bodies , 1963 .

[48]  J. R. Donnison,et al.  Three-body orbital stability criteria for circular retrograde orbits , 1994 .

[49]  J. R. Donnison,et al.  Three-body orbital stability criteria for circular orbits , 1992 .

[50]  R. Harrington Stability criteria for triple stars , 1972 .

[51]  D. Evans Stars of Higher Multiplicity , 1968 .

[52]  K. Życzkowski On the Stability of the Solar System , 1898, Nature.

[53]  G. Hill Researches in the Lunar Theory , 1878 .