High‐inclination orbits in the secular quadrupolar three‐body problem

By F. Farago, Jacques Laskar. 2009

133 citations recorded by the source corpus.

The Lidov-Kozai mechanism allows a body to periodically exchange its eccentricity with inclination. It was first discussed in the framework of the quadrupolar secular restricted three-body problem, where the massless particle is the inner body, and later extended to the quadrupolar secular nonrestricted three body problem. In this paper, we propose a different point of view on the problem by looking first at the restricted problem where the massless particle is the outer body. In this situation, equilibria at high mutual inclination appear, which correspond to the population of stable particles that Verrier & Evans (2008,2009) find in stable, high inclination circumbinary orbits around one of the components of the quadruple star HD 98800. We provide a simple analytical framework using a vectorial formalism for these situations. We also look at the evolution of these high inclination equilibria in the non restricted case.

Subfields: Aerospace Engineering, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/f5dcd1568c8b07cb41977cf75713b3ff2de0b960

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Citations in the corpus

• Secular Dynamics in Hierarchical Three-Body Systems (2011, methodology): “We note that there are some other derivations of the secular evolution equations that avoid the elimination of the nodes (Farago and Laskar 2010; Laskar and Boué 2010; Mardling 2010; Katz and Dong 2011), and thus do not suffer from this error(1).”