A Dynamical Mechanism for Establishing Apsidal Resonance | Zendy

Renu Malhotra | Zendy

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A Dynamical Mechanism for Establishing Apsidal Resonance

Author(s) -

Renu Malhotra

Publication year - 2002

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/342637

Subject(s) - apsidal precession , physics , planet , perturbation (astronomy) , libration (molecule) , orbital eccentricity , impulse (physics) , celestial mechanics , classical mechanics , eccentricity (behavior) , orbit (dynamics) , astronomy , geometry , mathematics , point (geometry) , engineering , political science , law , aerospace engineering

We show that in a system of two planets initially in nearly circular orbits,an impulse perturbation that imparts a finite eccentricity to one planet'sorbit causes the other planet's orbit to become eccentric as well, and alsonaturally results in a libration of their relative apsidal longitudes for awide range of initial conditions. We suggest that such a mechanism may explainorbital eccentricities and apsidal resonance in some exo-planetary systems. Theeccentricity impulse could be caused by the ejection of a planet from thesesystems, or by torques from a primordial gas disk. The amplitude of secularvariations provides an observational constraint on the dynamical history ofsuch systems.Comment: to appear in ApJ-Letter

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