Families of asymmetric periodic orbits in Hill's problem of three bodies

Celestial Mechanics and Dynamical Astronomy

Volumn 93, Issue 1-4, 2005, Pages 87-100

  Hénon, Michel ^a  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

Hill's problem; Numerical integration; Periodic orbits; Second species families

Indexed keywords

EID: 27844459000     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10569-005-3641-8     Document Type: Article

References (7)

1. Batkhina, N. V. and Batkhin A. B.: 2004, private communication.
2. Hénon, M.: 1965, 'Exploration numérique du problème restreint. II Masses égales, stabilité des orbites périodiques', Annales d'Astrophysique 28, 992-1007.
3. Hénon, M.: 1969, 'Numerical Exploration of the Restricted Problem. V. Hill's Case: Periodic Orbits and Their Stability', Astron. & Astrophys. 1, 223-238.
4. Hénon, M.: 1997, 'Generating Families in the Restricted Three-Body Problem', Lecture Notes in Physics 52, Springer, Berlin.
5. Hénon, M.: 2003, 'New Families of Periodic Orbits in Hill's Problem of Three Bodies', Celestial Mech. Dynamical Astron. 85, 223-246.
6. Kreisman, B.B., Batkhina N.V. and Batkhin A.B.: 2004, An Adaptive Algorithm for the Continuation of Families of Symmetric Periodic Solutions' (in russian), Numerical Methods Programming, Moscow University, 5, 96-106. http://nummeth.srcc.msu.ru/english/zhurnal/tom_2004/v5rl09.html
7. Szebehely, V.: 1967, 'Theory of Orbits - The Restricted Problem of Three Bodies', Academic Press, New York.