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Secular motion in a hierarchic triple stellar system
Author(s) -
S. Breiter,
David Vokrouhlický
Publication year - 2015
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-8711
pISSN - 0035-8711
DOI - 10.1093/mnras/stv361
Subject(s) - physics , circular orbit , equations of motion , celestial mechanics , classical mechanics , orbit (dynamics) , hamiltonian (control theory) , laplace transform , stellar dynamics , elliptic orbit , circular motion , proper motion , mathematical analysis , galaxy , astrophysics , stars , mathematics , mathematical optimization , engineering , aerospace engineering
A system of equations is derived for the secular motion of a hierarchic triple stellar system. Mean anomalies of the inner binary system and of the outer star orbit are eliminated up to order 9 in the ratio of their Delaunay momenta. Thanks to the use of vectorial elements (angular momenta and Laplace vectors) the equations are non-singular, compact, and independent on the choice of the reference ...

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