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

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Abstract

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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  1. School of Mathematics, Edinburg University, Mayfield Road, Edinburg, EH9 3JZ, UK

    Nikolaos Georgakarakos

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  1. Nikolaos Georgakarakos
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Georgakarakos, N. Eccentricity Generation in Hierarchical Triple Systems with Non-coplanar and Initially Circular Orbits. Celestial Mechanics and Dynamical Astronomy 89, 63–82 (2004). https://doi.org/10.1023/B:CELE.0000028162.54670.03

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  • DOI: https://doi.org/10.1023/B:CELE.0000028162.54670.03

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