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2017AJ....153..148A - Astron. J., 153, 148-148 (2017/April-0)

Secular orbit evolution in systems with a strong external perturber - A simple and accurate model.


Abstract (from CDS):

We present a semi-analytical correction to the seminal solution for the secular motion of a planet's orbit under gravitational influence of an external perturber derived by Heppenheimer. A comparison between analytical predictions and numerical simulations allows us to determine corrective factors for the secular frequency and forced eccentricity in the coplanar restricted three-body problem. The correction is given in the form of a polynomial function of the system's parameters that can be applied to first-order forced eccentricity and secular frequency estimates. The resulting secular equations are simple, straight forward to use, and improve the fidelity of Heppenheimers solution well beyond higher-order models. The quality and convergence of the corrected secular equations are tested for a wide range of parameters and limits of its applicability are given.

Abstract Copyright: © 2017. The American Astronomical Society. All rights reserved.

Journal keyword(s): binaries: general - celestial mechanics - planets and satellites: dynamical evolution and stability - planets and satellites: formation - planets and satellites: formation

Simbad objects: 3

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