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The dynamical interactions of planetary systems may be a clue to their formation histories. Therefore, the distribution of these interactions provides important constraints on models of planet formation. We focus on each system's apsidal…

Astrophysics · Physics 2019-02-13 Rory Barnes , Richard Greenberg

We investigate the possibility of detecting planetary or stellar companions orbiting white dwarf binaries using the LISA gravitational radiation detector. Specifically, we consider the acceleration of the barycenter of the white dwarf…

Earth and Planetary Astrophysics · Physics 2018-12-11 Jason H. Steffen , Dong-Hong Wu , Shane L. Larson

It has been demonstrated that systems of tightly packed inner planets with giant exterior companions tend to have less regular orbital spacings than those without such companions. We investigate whether this observed increase in the gap…

Earth and Planetary Astrophysics · Physics 2024-12-30 Joseph R. Livesey , Juliette Becker

The stellar obliquity of a planetary system is often used to help constrain the system's formation and evolution. One of the mechanisms to reorient the stellar spin involves a secular resonance crossing due to the dissipation of the…

Earth and Planetary Astrophysics · Physics 2025-09-16 Yubo Su , Dong Lai

With $n$-body simulations we investigate the stability of tilted circumbinary planetary systems consisting of two nonzero mass planets. The planets are initially in circular orbits that are coplanar to each other, as would be expected if…

Earth and Planetary Astrophysics · Physics 2023-03-29 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin , C. J. Nixon

The gravitational pull of a large number of asteroids perturbs a pulsar's motion to a degree that is detectable through precision timing of millisecond pulsars. The result is a low-frequency, correlated noise process, similar in form to the…

High Energy Astrophysical Phenomena · Physics 2020-12-16 Ross J. Jennings , James M. Cordes , Shami Chatterjee

The orbits of the confirmed exoplanets from all multiple systems known to date are investigated. Observational data from 1890 objects, of which 1176 are found in multiplanetary systems, are compiled and analyzed. Mean motion resonances and…

Earth and Planetary Astrophysics · Physics 2015-02-26 Marian C. Ghilea

Mean-motion resonances between a Keplerian disc and an orbiting companion are analysed within a Hamiltonian formulation using complex canonical Poincare variables, which are ideally suited to the description of eccentricity and inclination…

Astrophysics · Physics 2008-11-26 Gordon I. Ogilvie

Planet formation occurs around a wide range of stellar masses and stellar system architectures. An improved understanding of the formation process can be achieved by studying it across the full parameter space, particularly toward the…

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's orbit causes the other planet's orbit to become eccentric as well, and also naturally…

Astrophysics · Physics 2009-11-07 Renu Malhotra

Asteroids in mean motion resonances with giant planets are common in the solar system, but it was not until recently that several asteroids in retrograde mean motion resonances with Jupiter and Saturn were discovered. A retrograde…

Earth and Planetary Astrophysics · Physics 2018-06-14 Yukun Huang , Miao Li , Junfeng Li , Shengping Gong

We study the secular evolution of several exoplanetary systems by extending the Laplace-Lagrange theory to order two in the masses. Using an expansion of the Hamiltonian in the Poincar\'e canonical variables, we determine the fundamental…

Mathematical Physics · Physics 2015-06-16 Anne-Sophie Libert , Marco Sansottera

The orbits in the HD 160691 planetary system at first appeared highly unstable, but using the MEGNO and FLI techniques of global dynamics analysis in the orbital parameter space we have found a stabilizing mechanism that could be the key to…

Astrophysics · Physics 2009-11-07 Eric Bois , Ludmila Kiseleva-Eggleton , Nicolas Rambaux , Elke Pilat-Lohinger

Many extrasolar systems possessing planets in mean-motion resonance or resonant chain have been discovered to date. The transit method coupled with transit timing variation analysis provides an insight into the physical and orbital…

Earth and Planetary Astrophysics · Physics 2020-08-19 Kyriaki I. Antoniadou , Anne-Sophie Libert

Mean motion resonances are a common feature of both our own Solar System and of extrasolar planetary systems. Bodies can be trapped in resonance when their orbital semi-major axes change, for instance when they migrate through a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alexander J. Mustill , Mark C. Wyatt

The present dynamical configuration of planets in binary star systems may not reflect their formation process since the binary orbit may have changed in the past after the planet formation process was completed. An observed binary system…

Astrophysics · Physics 2009-11-13 F. Marzari , M. Barbieri

Gravitational waves at suitable frequencies can resonantly interact with a binary system, inducing changes to its orbit. A stochastic gravitational-wave background causes the orbital elements of the binary to execute a classic random walk,…

General Relativity and Quantum Cosmology · Physics 2013-05-27 Lam Hui , Sean T. McWilliams , I-Sheng Yang

We evaluate the extent of the regions within the $\alpha$ Centauri AB star system where small planets are able to orbit for billion-year timescales, and we calculate the positions on the sky plane where planets on stable orbits about either…

Earth and Planetary Astrophysics · Physics 2016-04-19 Billy Quarles , Jack J. Lissauer

The $\alpha$ Cen stellar system is the closest neighbour to our Sun. Its main component is a binary composed of two main-sequence stars, one more massive than the Sun and one less massive. The system's bright magnitude led to a wealth of…

Solar and Stellar Astrophysics · Physics 2021-02-10 Sébastien Salmon , Valérie Van Grootel , Gaël Buldgen , Marc-Antoine Dupret , Patrick Eggenberger
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