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Related papers: Capture in restricted four body problem

200 papers

Many extrasolar planetary systems containing multiple super-Earths have been discovered. N-body simulations taking into account standard type-I planetary migration suggest that protoplanets are captured into mean-motion resonant orbits near…

Earth and Planetary Astrophysics · Physics 2015-06-11 Yuji Matsumoto , Makiko Nagasawa , Shigeru Ida

Having a massive moon has been considered as a primary mechanism for stabilized planetary obliquity, an example of which being our Earth. This is, however, not always consistent with the exoplanetary cases. This article details the…

Earth and Planetary Astrophysics · Physics 2022-08-24 Renyi Chen , Gongjie Li , Molei Tao

The orbital dynamics of a spacecraft, or a comet, or an asteroid in the Earth-Moon system in a scattering region around the Moon using the three dimensional version of the circular restricted three-body problem is numerically investigated.…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

The rectilinear elliptic restricted Three Body Problem (TBP) is the limiting case of the elliptic restricted TBP when the motion of the primaries is described by a Keplerian ellipse with eccentricity $e'=1$, but the collision of the…

Earth and Planetary Astrophysics · Physics 2018-01-10 George Voyatzis , Kleomenis Tsiganis , Michalis Gaitanas

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

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

We have searched a 2010 archival data set from the Canada-France-Hawaii Telescope for very small (km-scale) irregular moons of Jupiter in order to constrain the size distribution of these moons down to radii of $\sim 400$~m, discovering 52…

Earth and Planetary Astrophysics · Physics 2020-09-09 Edward Ashton , Matthew Beaudoin , Brett Gladman

We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this setting the main result of [4] is applicable. This guarantees…

Dynamical Systems · Mathematics 2021-02-24 Rafael Ortega , Lei Zhao

The origin of the Martian moons Deimos and Phobos is controversial. One hypothesis for their origin is that they are captured asteroids, but the mechanism requires an extremely dense martian atmosphere, and the mechanism by which an…

Earth and Planetary Astrophysics · Physics 2009-03-23 Geoffrey A. Landis

The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational radiation.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carmen Chicone , Bahram Mashhoon , David Retzloff

We consider the planar circular equilateral restricted four body-problem where a test particle of infinitesimal mass is moving under the gravitational attraction of three primary bodies which move on circular orbits around their common…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

We propose and analyze a new mechanism for the formation of the wide asynchronous binary population. These binary asteroids have wide semi-major axes relative to most near-Earth and Main Belt asteroid systems. Confirmed members have rapidly…

Earth and Planetary Astrophysics · Physics 2014-04-04 Seth A. Jacobson , Daniel J. Scheeres , Jay McMahon

Capture into mean motion resonance (MMR) is an important dynamical mechanism as it shapes the final architecture of a planetary system. We simulate systems of two or three planets undergoing migration with varied initial parameters such as…

Earth and Planetary Astrophysics · Physics 2023-01-11 Kaltrina Kajtazi , Antoine C. Petit , Anders Johansen

The very wide binary asteroid (VWBA) population is a small subset of the population of known binary and multiple asteroids made of systems with very widely orbiting satellites and long orbital periods, on the order of tens to hundreds of…

Most close-in planetary satellites are in synchronous rotation, which is usually the stable end-point of tidal despinning. Saturn's moon Hyperion is a notable exception by having a chaotic rotation. Hyperion's dynamical state is a…

Earth and Planetary Astrophysics · Physics 2021-10-19 Matija Ćuk , Seth A. Jacobson , Kevin J. Walsh

Recently, remarkable anti-glitch and glitch accompanied by bright radio bursts of the Galactic magnetar SGR J1935+2154 were discovered. These two infrequent temporal coincidences between the glitch/anti-glitch and the fast radio burst…

High Energy Astrophysical Phenomena · Physics 2023-06-07 Qin Wu , Zhen-Yin Zhao , F. Y. Wang

Binary systems are ubiquitous and their formation requires two-body interaction and dissipation. In gaseous media, interactions between two initially unbound objects could result in gas-assisted binary formation, induced by a loss of…

Astrophysics of Galaxies · Physics 2023-04-26 Mor Rozner , Aleksey Generozov , Hagai B. Perets

Trapping of bodies by waves is extended from electromagnetism to gravity. It is shown that gravitational waves endowed with angular momentum may accumulate near its axis all kinds of cosmic debris. The trapping mechanism in both cases can…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Iwo Bialynicki-Birula , Szymon Charzyński

No less than 15% of large (diameter greater than 140 km) asteroids have satellites. The commonly accepted mechanism for their formation is post-impact reaccumulation. However, the detailed physical and dynamical properties of these systems…

We propose a dynamical mechanism for capturing stars around a massive black hole (MBH), which is based on the accumulation there of a very dense cluster of compact stellar remnants. This study is motivated by the presence of ~10 young…

Astrophysics · Physics 2009-11-10 Tal Alexander , Mario Livio