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The three-dimensional secular behavior of a system composed of a central star and two massive planets is modeled semi-analytically in the frame of the general three-body problem. The main dynamical features of the system are presented in…

Astrophysics · Physics 2015-06-24 T. A. Michtchenko , S. Ferraz-Mello , C. Beauge

This chapter concerns the long-term dynamical evolution of planetary systems from both theoretical and observational perspectives. We begin by discussing the planet-planet interactions that take place within our own Solar System. We then…

Earth and Planetary Astrophysics · Physics 2015-06-18 Melvyn B. Davies , Fred C. Adams , Philip Armitage , John Chambers , Eric Ford , Alessandro Morbidelli , Sean N. Raymond , Dimitri Veras

In the last years several exoplanets have been discovered that orbit one component of a compact binary system (separation < 50 astronomical units), the probably best-known case is gamma-Cephei. So far, all attempts to explain the in-situ…

Earth and Planetary Astrophysics · Physics 2014-05-08 Javier Marti , Cristian Beauge

We have investigated the dependence of the prograde/retrograde temporary capture of asteroids by a planet on their original heliocentric semimajor axes through analytical arguments and numerical orbital integrations in order to discuss the…

Earth and Planetary Astrophysics · Physics 2016-01-13 Arika Higuchi , Shigeru Ida

Neutron stars are born out of core-collapse supernovae, and they are imparted natal kicks at birth as a consequence of asymmetric ejection of matter and possibly neutrinos. Unless the force resulting from the kicks is exerted exactly at…

High Energy Astrophysical Phenomena · Physics 2023-10-31 Giacomo Fragione , Abraham Loeb

We present a parameter study of the possibility of tidally triggered disk instability. Using a restricted N-body model which allows for a survey of an extended parameter space, we show that a passing dwarf star with a mass between 0.1 and 1…

Astrophysics · Physics 2009-11-13 Ingo Thies , Pavel Kroupa , Christian Theis

So far, multiple stellar systems harbor more than 130 extra solar planets. Dynamical simulations show that the outcome of planetary formation process can lead to various planetary architecture (i.e. location, size, mass and water content)…

Earth and Planetary Astrophysics · Physics 2015-09-02 D. Bancelin , E. Pilat-Lohinger , S. Eggl , T. I. Maindl , C. Schäfer , R. Speith , R. Dvorak

Various problems of the formation and evolution of planetary systems are studied. Most of the studies are devoted to the Solar System. The collapse of the presolar cloud and the accumulation of planets are studied. The author considers the…

Earth and Planetary Astrophysics · Physics 2026-01-15 S. I. Ipatov

Hierarchical quadruple systems arise naturally in stellar binaries and triples that harbour planets. Examples are hot Jupiters (HJs) in stellar triple systems, and planetary companions to HJs in stellar binaries. The secular dynamical…

Earth and Planetary Astrophysics · Physics 2017-06-19 Adrian S. Hamers , Dong Lai

We construct a highly-symmetric periodic orbit of six bodies in three dimensions. In this orbit, binary collisions occur at the origin in a regular periodic fashion, rotating between pairs of bodies located on the coordinate axes.…

Dynamical Systems · Mathematics 2023-08-24 Skyler Simmons

More than 10% of extra-solar planets (EPs) orbit in a binary or multiple stellar system. We investigated the motion of planets revolving in binary systems in the frame of the particular case of the three body problem. We carried out an…

Earth and Planetary Astrophysics · Physics 2015-06-12 E. Plávalová , N. A. Solovaya

Advances in the discovery and characterization of asteroids over the past decade have revealed an unanticipated underlying structure that points to a dramatic early history of the inner Solar System. The asteroids in the main asteroid belt…

Earth and Planetary Astrophysics · Physics 2014-08-13 Francesca DeMeo , Benoit Carry

We present Monte Carlo simulations of the dynamical evolution of the Oort cloud over the age of the Solar System, using an initial sample of one million test comets without any cloning. Our model includes perturbations due to the Galactic…

Astrophysics · Physics 2009-11-13 H. Rickman , M. Fouchard , Ch. Froeschlé , G. B. Valsecchi

We present a numerical method to estimate the strengths of arbitrary three body mean motion resonances between two planets in circular coplanar orbits and a massless particle in an arbitrary orbit. This method allows us to obtain an atlas…

Earth and Planetary Astrophysics · Physics 2015-06-18 Tabaré Gallardo

Planetary systems with more than two bodies will experience orbital crossings at a time related to the initial orbital separations of the planets. After a crossing, the system enters a period of chaotic evolution ending in the reshaping of…

Earth and Planetary Astrophysics · Physics 2018-09-19 David R. Rice , Frederic A. Rasio , Jason H. Steffen

The theory of the post-Newtonian (PN) planar circular restricted three-body problem is used for numerically investigating the orbital dynamics of a test particle (e.g., a comet, asteroid, meteor or spacecraft) in the planar Sun-Jupiter…

Earth and Planetary Astrophysics · Physics 2018-03-21 Euaggelos E. Zotos , F. L. Dubeibe

Misalignments between the orbital planes of planets and the equatorial planes of their host stars have been observed in our solar system, in transiting exoplanets, and in the orbital planes of debris discs. We present a mechanism that…

Earth and Planetary Astrophysics · Physics 2017-08-23 T. P. G. Wijnen , F. I. Pelupessy , O. R. Pols , S. Portegies Zwart

Dinuclear systems that occur in the post-saddle to scission stage in nuclear fission process are special transient formations. The diabatic evolution at this stage is studied using the methods of non-equilibrium thermodynamics. A novel…

Nuclear Theory · Physics 2023-05-01 Bency John

We investigate the orbital evolution of a system of N mutually interacting stars on initially circular orbits around the dominating central mass. We include perturbative influence of a distant axisymmetric source and an extended spherical…

Astrophysics of Galaxies · Physics 2015-05-28 Jaroslav Haas , Ladislav Subr , David Vokrouhlicky

Planets with several Earth masses and a few day orbital periods have been discovered through radial velocity and transit surveys. Regardless of their formation mechanism, a key evolution issue is the efficiency of their retention near their…

Earth and Planetary Astrophysics · Physics 2015-03-19 Randy O. Laine , Douglas N. C. Lin
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