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Computation of s CHWARZSCHILD 's periodic solutions in the restricted three‐body problem
Author(s) -
Leimanis Eugene,
Olund Brian R.
Publication year - 1972
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.19722940107
Subject(s) - jupiter (rocket family) , computation , orbital elements , physics , periodic orbits , celestial mechanics , periodic function , mathematical analysis , mathematics , classical mechanics , astrophysics , algorithm , astronomy , spacecraft
Periodic solutions may be characterized by the mean values and initial values of their orbital elements. Accordingly in Chapter I a method is developed for calculating the mean values and in Chapter II a method is given for calculating the initial values of the orbital elements in the case of S CHWARZSCHILD 's periodic solutions. The methods are illustrated by numerical calculations for the commensurabilities 2:1, 3:1, 3:2, and 5:3 of the mean motions of the planetoid and Jupiter.