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A Multiple Time Step Symplectic Algorithm for Integrating Close Encounters
We present a new symplectic algorithm that has the desirable properties of the sophisticated but highly efficient numerical algorithms known as mixed variable symplectic (MVS) methods and that, in
Dynamics and Origin of the 2:1 Orbital Resonances of the GJ 876 Planets
The discovery by Marcy and coworkers of two planets in 2 : 1 orbital resonance about the star GJ 876 has been supplemented by a dynamical fit to the data by Laughlin & Chambers, which places the
The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
We consider the dynamical evolution of bound, hierarchical triples of supermassive black holes that might be formed in the nuclei of galaxies undergoing sequential mergers. The tidal force of the
Secular evolution of hierarchical planetary systems
We investigate the dynamical evolution of coplanar, hierarchical, two-planet systems where the ratio of the orbital semimajor axes α = a1/a2 is small. Hierarchical two-planet systems are likely to be
ARE THE KEPLER NEAR-RESONANCE PLANET PAIRS DUE TO TIDAL DISSIPATION?
The multiple-planet systems discovered by the Kepler mission show an excess of planet pairs with period ratios just wide of exact commensurability for first-order resonances like 2:1 and 3:2. In
An Analytic Theory for the Orbits of Circumbinary Planets
Three transiting circumbinary planets (Kepler-16 b, Kepler-34 b, and Kepler-35 b) have recently been discovered from photometric data taken by the Kepler spacecraft. Their orbits are significantly
A super-Earth planet candidate orbiting at the snow-line of Barnard's star
TLDR
I. Morales1,2, M. González Hernández7,8, A. Rodríguez-López6, J. P. Ribas1,1, T. Rosich1,3, F. Feng3,T.
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