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We study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a pointlike planet. The main result is that, if all the deformations of the satellite dissipate some energy, then under a…

Mathematical Physics · Physics 2015-06-11 Emanuele Haus , Dario Bambusi

About half of all known stellar systems with Sun-like stars consist of two or more stars, significantly affecting the orbital stability of any planet in these systems. Here we study the onset of instability for an Earth-type planet that is…

Astrophysics · Physics 2007-12-20 J. Eberle , M. Cuntz , Z. E. Musielak

The project SYPOR wishes to use the global navigation satellite system GALILEO as an autonomous relativistic positioning system for the Earth. Motivations and a sketch of the basic concepts underlying the project are presented. For non…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolomé Coll

We have considered polar ring galaxy candidates, the images of which can be found in the SDSS. The sample of 78 galaxies includes the most reliable candidates from the SPRC and PRC catalogs, some of which already have kinematic…

Astrophysics of Galaxies · Physics 2015-06-17 K. I. Smirnova , A. V. Moiseev

The Milky Way (MW) is surrounded by a Vast Polar Structure (VPOS) of satellite galaxies, star clusters, and streams. Proper motion measurements for the brightest MW satellites indicate that they are predominantly co-orbiting along the VPOS.…

Astrophysics of Galaxies · Physics 2017-10-30 Marcel S. Pawlowski

In a planetary or satellite system, idealized as n small bodies in initially coplanar, concentric orbits around a large central body, obeying Newtonian point-particle mechanics, resonant perturbations will cause dynamical evolution of the…

Astrophysics · Physics 2009-11-07 Robert W. Bass

We study the distribution of nearby thick disc and halo stars in subspaces defined by their characteristic orbital parameters. Our aim is to establish the origin of the structure reported in particular, in the $R_{\rm max}-z_{\rm max}$…

Astrophysics of Galaxies · Physics 2021-03-10 Helmer H. Koppelman , Jorrit H. J. Hagen , Amina Helmi

(Abridged) The following describes a model of a broad planetary ring whose sharp edge is confined by a satellite's m^th Lindblad resonance (LR). This model uses a streamline formalism to calculate the ring's internal forces, namely, ring…

Earth and Planetary Astrophysics · Physics 2011-02-11 Joseph M. Hahn , Joseph N. Spitale , Carolyn C. Porco

Recent analyses have shown that the concluding stages of giant planet formation are accompanied by the development of large-scale meridional flow of gas inside the planetary Hill sphere. This circulation feeds a circumplanetary disk that…

Earth and Planetary Astrophysics · Physics 2020-05-27 Konstantin Batygin , Alessandro Morbidelli

As it has already done for Earth, the sun, and the stars, seismology has the potential to radically change the way the interiors of giant planets are studied. In a sequence of events foreseen by only a few, observations of Saturn's rings by…

Earth and Planetary Astrophysics · Physics 2020-07-28 Christopher R. Mankovich

The natural and Dyson orbitals are studied for small helium drops comprising 5 to 20 helium atoms interacting via a soft two-body gaussian potential. The wave functions of these drops have been obtained in the hyperspherical cluster model…

Atomic and Molecular Clusters · Physics 2026-05-13 N. K. Timofeyuk

The majority of star formation results in binaries or higher multiple systems, and planets in such systems are constrained to a limited range of orbital parameters in order to remain stable against perturbations from stellar companions.…

Earth and Planetary Astrophysics · Physics 2024-07-22 Billy Quarles , Hareesh Gautham Bhaskar , Gongjie Li

This paper deals with the classical problem of exploring a ring by a cohort of synchronous robots. We focus on the perpetual version of this problem in which it is required that each node of the ring is visited by a robot infinitely often.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-08 Marjorie Bournat , Ajoy K. Datta , Swan Dubois

We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also exist stable circular orbits on the axis as special cases.…

High Energy Physics - Theory · Physics 2010-12-13 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

This paper presents elements about the radial orbit instability, which occurs in spherical self-gravitating systems with a strong anisotropy in the radial velocity direction. It contains an overview on the history of radial orbit…

Astrophysics of Galaxies · Physics 2016-08-03 Lionel Maréchal , Jérôme Perez

We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model is represented by a nonlinear control system, which…

Optimization and Control · Mathematics 2025-08-06 Julia Kalosha , Yevgeniia Yevgenieva , Alexander Zuyev

The unexpected finding of a ring system around the Centaur (10199) Chariklo opened a new window for dynamical studies and posed many questions about the formation and evolutionary mechanisms of Centaurs as well as the relationship to…

Earth and Planetary Astrophysics · Physics 2025-06-05 A. A. Sickafoose , S. M. Giuliatti Winter , R. Leiva , C. B. Olkin , D. Ragozzine , L. M. Woodney

All the four giant planets in our Solar System have rings, but their characteristics are very different. The rings consist of a number of small particles, although individual particles have not been directly imaged. Near the central planet,…

Earth and Planetary Astrophysics · Physics 2025-09-25 Keiji Ohtsuki

Recent observations have confirmed the existence of rings around minor bodies in the outer Solar System. These objects may possess satellites as well. Here we analytically investigate the interaction between such rings and satellites. We…

Earth and Planetary Astrophysics · Physics 2026-04-02 Barnabás Deme

We study the evolution of dark matter satellites orbiting inside more massive haloes using semi-analytical tools coupled with high-resolution N-Body simulations. We select initial satellite sizes, masses, orbital energies, and…

Astrophysics · Physics 2011-08-23 Giuliano Taffoni , Lucio Mayer , Monica Colpi , Fabio Governato