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The locations of the fully despun, double synchronous end states of tidal evolution are derived for spherical components. With the exception of nearly equal-mass binaries, binary asteroid systems are in the midst of lengthy tidal…

Earth and Planetary Astrophysics · Physics 2015-03-18 Patrick A. Taylor , Jean-Luc Margot

We investigate the secular evolution of the orbital semi-major axis and eccentricity due to mass transfer in eccentric binaries, assuming conservation of total system mass and orbital angular momentum. Assuming a delta function mass…

Astrophysics · Physics 2009-11-13 J. F. Sepinsky , B. Willems , V. Kalogera , F. A. Rasio

We study the tidal evolution of a binary system consisting of a 1.4 Msun compact object in elliptic orbit about a 10 Msun uniformly rotating main sequence star for various values of the initial orbital parameters. We apply our previously…

Astrophysics · Physics 2007-05-23 M. G. Witte , G. J. Savonije

In this work, we performed a dynamical analysis of a spacecraft around a nearly equal-mass binary near-Earth asteroid with application to the asteroid 2017 YE5, which is also a possible dormant Jupiter-family comet. Thus, we investigated…

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a…

General Relativity and Quantum Cosmology · Physics 2015-05-04 László Árpád Gergely , Zoltán Keresztes

The presence of strong large-scale stable magnetic fields in a significant portion of early-type stars, white dwarfs, and neutron stars is well established. Despite this, the origins of these fields remain unresolved, with leading…

This paper investigates the secular motion of a massless asteroid within the framework of the double-averaged elliptic restricted three-body problem. By employing Poincar\'e variables, we analyze the stability properties of asteroid orbits…

Earth and Planetary Astrophysics · Physics 2024-09-10 Yan Luo , Kaicheng Sheng

We discuss precessing compact binaries on eccentric orbit with gravastar, black hole, neutron star, or boson star components. We derive secular evolution equations to second post-Newtonian--order accuracy, with leading-order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Zoltán Keresztes , Márton Tápai , László Árpád Gergely

We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate system and expand the disturbing function in terms of…

Earth and Planetary Astrophysics · Physics 2017-11-08 Eduardo Andrade-Ines , Philippe Robutel

A classical approach to the restricted three-body problem is to analyze the dynamics of the massless body in the synodic reference frame. A different approach is represented by the perturbative treatment: in particular the averaged problem…

Earth and Planetary Astrophysics · Physics 2021-06-29 Alexandre Pousse , Elisa Maria Alessi

Many recent observational studies have concluded that planetary systems commonly exist in multiple-star systems. At least ~20% of the known extrasolar planetary systems are associated with one or more stellar companions. The orbits of…

Astrophysics · Physics 2009-11-13 Genya Takeda , Ryosuke Kita , Frederic A. Rasio

We present the first fully-nonlinear numerical study of the dynamics of highly spinning black-hole binaries. We evolve binaries from quasicircular orbits (as inferred from Post-Newtonian theory), and find that the last stages of the orbital…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Campanelli , C. O. Lousto , Y. Zlochower

Although tidal dissipation in binary stars has been studied for over a century, theoretical predictions have yet to match the observed properties of binary populations. This work quantitatively examines the recent proposal of tidal…

Solar and Stellar Astrophysics · Physics 2021-05-19 J. J. Zanazzi , Yanqin Wu

We present a comparison between the rotation period distributions of solar-type single stars and primary stars in close binaries (0.1 AU ~< a ~< 5 AU) in the young (150 Myr) open cluster M35 (NGC 2168). We find that the primary stars in the…

Astrophysics · Physics 2009-11-13 S. Meibom , R. D. Mathieu , K. G. Stassun

We introduce a restricted four body problem in a 2+2 configuration extending the classical Sitnikov problem to the Double Sitnikov problem. The secondary bodies are moving on the same perpendicular line to the planewhere the primaries…

Mathematical Physics · Physics 2011-06-07 H. Jiménez-Pérez , E. Lacomba

The Hilda group is a set of asteroids whose mean motion is in a 3:2 orbital resonance with Jupiter. In this paper we use the planar Circular Restricted Three-Body Problem (CRTBP) as a dynamical model and we show that there exists a family…

Dynamical Systems · Mathematics 2024-12-11 Àngel Jorba , Begoña Nicolás , Óscar Rodríguez

A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either around the binary angular momentum vector (a circulating orbit) or around a stationary inclination (a librating orbit). In the absence of general…

Earth and Planetary Astrophysics · Physics 2022-04-20 Stephen Lepp , Rebecca G. Martin , Anna C. Childs

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

We analyze a tilt instability of the orbit of an outer planet in a two planet circumbinary system that we recently reported. The binary is on an eccentric orbit and the inner circumbinary planet is on a circular polar orbit that causes the…

Earth and Planetary Astrophysics · Physics 2024-04-17 Stephen H. Lubow , Anna C. Childs , Rebecca G. Martin

The 3:1 mean-motion resonance of the planar elliptic restricted three body problem (Sun-Jupiter-asteroid) is considered. The double numeric averaging is used to obtain the evolutionary equations which describe the long-term behavior of the…

Astrophysics · Physics 2009-11-11 Vladislav Sidorenko