Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..61..389z&link_type=abstract
Astrophysics and Space Science, vol. 61, no. 2, Apr. 1979, p. 389-409.
Astronomy and Astrophysics
Astrophysics
15
Motion Stability, Orbital Mechanics, Periodic Variations, Stable Oscillations, Three Dimensional Motion, Jupiter (Planet), Orbit Calculation, Periodic Functions, Solar Orbits, Symmetry, Trajectory Analysis
Scientific paper
The three families of three-dimensional periodic oscillations which include the infinitesimal periodic oscillations about the Lagrangian equilibrium points L1, L2, and L3 are computed for the value mu = 0.00095 (sun-Jupiter case) of the mass parameter. From the first two vertically critical members of the families a, b, and c, six families of periodic orbits in three dimensions are found to bifurcate. These families are presented together with their stability characteristics. The orbits of the nine families computed are of all types of symmetry A, B, and C. Finally, examples of bifurcations between families of three-dimensional periodic solutions of different types of symmetry are given.
Kazantzis P. G.
Zagouras C. G.
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