2002/09/01 by Nikolaos Georgakarakos · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Astro and Planetary Science #Astronomy #Binary number #Celestial mechanics #Circular motion #Circular orbit #Classical mechanics #Eccentricity (behavior) #Equations of motion #Geometry #Mathematical analysis #Mathematics #Motion (physics) #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #Simple (philosophy) #Spacecraft Dynamics and Control #Stellar, planetary, and galactic studies #Triple system #astro-ph.EP
paper · pdf · doi:10.1046/j.1365-8711.2002.05936.x
published as Monthly Notice of the Royal Astronomical Society, 2002, Volume 337, Issue 2, pp. 559-566 · This is a preprint of an article published in MNRAS in 2002. arXiv admin note: text overlap with arXiv:0811.1146
openalex publication_date 2002/09/01 · arxiv created 2014/08/23 · arxiv updated 2014/08/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We develop a technique for estimating the inner eccentricity in hierarchical triple systems with well-separated components. We investigate systems with initially circular and coplanar orbits and comparable masses. The technique is based on an expansion of the rate of change of the Runge—Lenz vector for calculating short period terms by using first-order perturbation theory. The combination of the short period terms with terms arising from octupole level secular theory results in the derivation of a rather simple formula for the eccentricity of the inner binary. The theoretical results are tested against numerical integrations of the full equations of motion. Comparison is also made with other results on the subject.