Eccentricity Generation in Hierarchical Triple Systems with Non-Coplanar and Initially Circular Orbits

Details Eccentricity Generation in Hierarchical Triple Systems with Non-Coplanar and Initially Circular Orbits Eccentricity Generation in Hierarchical Triple Systems with Non-Coplanar and Initially Circular Orbits

Jan 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89...63g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 1, p. 63-82 (2004).

Astronomy and Astrophysics

Astronomy

4

Binaries:General, Celestial Mechanics, Stellar Dynamics

Scientific paper

In a previous paper, we developed a technique for estimating the inner eccentricity in coplanar hierarchical triple systems on initially circular orbits, with comparable masses and with well-separated components, based on an expansion of the rate of change of the Runge-Lenz vector. Now, the same technique is extended to non-coplanar orbits. However, it can only be applied to systems with I 0 < 39.23° or I 0 > 140.77°, where I is the inclination of the two orbits, because of complications arising from the so-called ‘Kozai effect’. The theoretical model is tested against results from numerical integrations of the full equations of motion.

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