Comparison of resonant orbits. III - Resonance 1:1 - Some theoretical results

Statistics – Computation

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Computational Astrophysics, Orbital Elements, Orbital Resonances (Celestial Mechanics), Resonance, Stellar Gravitation, Stellar Orbits, Stellar Systems, Boundary Value Problems, Orbit Calculation

Scientific paper

The properties of a spherical gravitational field of a stellar system
with the disturbing term 2βξ2z2 are
studied. Since the general expression of a formal third integral was
found earlier (Andrle, 1979) the resonance 1/1 is studied only and the
theoretical invariant curve and boundary of orbits were derived.

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