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The dynamical systems of planet-belt interaction are studied by the fixed-point analysis and the bifurcation of solutions on the parameter space is discussed. For most cases, our analytical and numerical results show that the locations of…

Astrophysics · Physics 2015-06-24 Ing-Guey Jiang , Li-Chin Yeh

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 study non-geodesic orbits of test particles endowed with a structure, assuming the Schwarzschild spacetime as background. We develop a formalism which allows one to recognize the geometrical characterization of those orbits in terms of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

The aim of this paper is to numerically investigate the orbital dynamics of the circular planar restricted problem of five bodies. By numerically integrating several large sets of initial conditions of orbits we classify them into three…

Chaotic Dynamics · Physics 2019-04-09 Euaggelos E. Zotos , K. E. Papadakis

The organization of the orbits of most minor bodies in the Solar system seems to follow random patterns, the result of billions of years of chaotic dynamical evolution. Much as heterogeneous orbital behaviour is ubiquitous, dynamically…

Earth and Planetary Astrophysics · Physics 2017-12-08 C. de la Fuente Marcos , R. de la Fuente Marcos

The concept of sphere of influence of a planet is useful in both the context of impact monitoring of asteroids with the Earth and of the design of interplanetary trajectories for spacecrafts. After reviewing the classical results, we…

Earth and Planetary Astrophysics · Physics 2023-02-01 Irene Cavallari , Clara Grassi , Giovanni F. Gronchi , Giulio Baù , Giovanni B. Valsecchi

There is an unceasing incoming flux of extraterrestrial materials reaching the Earth's atmosphere. Some of these objects produce luminous columns when they ablate during the hypersonic encounter with air molecules. A few fireballs occur…

Earth and Planetary Astrophysics · Physics 2024-05-29 E. Peña-Asensio , J. M. Trigo-Rodríguez , A. Rimola

This work shows the dynamical instability that can happen to close-in satellites when planet oblateness is not accounted for in non-coplanar multiplanet systems. Simulations include two secularly interacting Jupiter-mass planets mutually…

Earth and Planetary Astrophysics · Physics 2015-06-23 Yu-Cian Hong , Matthew S. Tiscareno , Philip D. Nicholson , Jonathan I. Lunine

The influence of the irregular forces on the evolution of a triple hierarchical stellar system moving in the field of stars have been studied. Triple hierarchical stellar systems are stable in contrary to the stellar systems with comparable…

Solar and Stellar Astrophysics · Physics 2011-10-25 Nina A. Solovaya

The larger number of models of asteroid shapes and their rotational states derived by the lightcurve inversion give us better insight into both the nature of individual objects and the whole asteroid population. With a larger statistical…

Earth and Planetary Astrophysics · Physics 2013-01-30 J. Hanuš , J. Ďurech , M. Brož , A. Marciniak , B. D. Warner , F. Pilcher , R. Stephens , R. Behrend , B. Carry , D. Čapek , P. Antonini , M. Audejean , K. Augustesen , E. Barbotin , P. Baudouin , A. Bayol , L. Bernasconi , W. Borczyk , J. -G. Bosch , E. Brochard , L. Brunetto , S. Casulli , A. Cazenave , S. Charbonnel , B. Christophe , F. Colas , J. Coloma , M. Conjat , W. Cooney , H. Correira , V. Cotrez , A. Coupier , R. Crippa , M. Cristofanelli , Ch. Dalmas , C. Danavaro , C. Demeautis , T. Droege , R. Durkee , N. Esseiva , M. Esteban , M. Fagas , G. Farroni , M. Fauvaud , S. Fauvaud , F. Del Freo , L. Garcia , S. Geier , C. Godon , K. Grangeon , H. Hamanowa , H. Hamanowa , N. Heck , S. Hellmich , D. Higgins , R. Hirsch , M. Husarik , T. Itkonen , O. Jade , K. Kamiński , P. Kankiewicz , A. Klotz , R. A. Koff , A. Kryszczyńska , T. Kwiatkowski , A. Laffont , A. Leroy , J. Lecacheux , Y. Leonie , C. Leyrat , F. Manzini , A. Martin , G. Masi , D. Matter , J. Michałowski , M. J. Michałowski , T. Michałowski , J. Michelet , R. Michelsen , E. Morelle , S. Mottola , R. Naves , J. Nomen , J. Oey , W. Ogloza , A. Oksanen , D. Oszkiewicz , P. Pääkkönen , M. Paiella , H. Pallares , J. Paulo , M. Pavic , B. Payet , M. Polińska , D. Polishook , R. Poncy , Y. Revaz , C. Rinner , M. Rocca , A. Roche , D. Romeuf , R. Roy , H. Saguin , P. A. Salom , S. Sanchez , G. Santacana , T. Santana-Ros , J. -P. Sareyan , K. Sobkowiak , S. Sposetti , D. Starkey , R. Stoss , J. Strajnic , J. -P. Teng , B. Tregon , A. Vagnozzi , F. P. Velichko , N. Waelchli , K. Wagrez , H. Wücher

Didymos and Dimorphos are primary and secondary, respectively, asteroids who compose a binary system that make up the set of Near Earth Asteroids (NEAs). They are targets of the Double Asteroid Redirection Test (DART), the first test…

Earth and Planetary Astrophysics · Physics 2023-07-19 R. Machado Oliveira , O. C. Winter , R. Sfair , G. Valvano , T. S. Moura , G. Borderes-Motta

The Yarkovsky (orbital drift) and YORP (spin state change) effects play important roles in the dynamical and physical evolution of asteroids. Thermophysical modelling of these observed effects, and of thermal-infrared observations, allows a…

Earth and Planetary Astrophysics · Physics 2015-06-22 Ben Rozitis , Simon F. Green

This work analyzes the energetics of asteroid rubble piles in order to understand what asteroid morphologies should naturally arise from their formation and evolution process. In doing this, a phase diagram is developed that maps out the…

Earth and Planetary Astrophysics · Physics 2025-03-24 D. J. Scheeres

Possible connections between the physical properties of Near-Earth Asteroids (NEA) and their orbital evolution were explored, with emphasis on binary asteroids. Our main starting hypothesis, suggested from the observations, was that the NEA…

Astrophysics · Physics 2007-05-23 Mihailo Cubrovic

We present a novel empirical method for correcting asteroid phase curves for rotational and geometrical effects using precomputed spin-and-shape models. Our approach normalizes sparse photometric data to a pole-on geometry, enabling…

Earth and Planetary Astrophysics · Physics 2025-11-21 Dagmara Oszkiewicz. Przemysław Bartczak , Milagros Colazo , Antti Penttilä

Solar system small bodies come in a wide variety of shapes and sizes, which are achieved following very individual evolutional paths through billions of years. This paper focuses on the reshaping process of rubble-pile asteroids driven by…

Earth and Planetary Astrophysics · Physics 2017-08-03 Yang Yu , Derek C. Richardson , Patrick Michel

We consider the Earth-Moon planar circular restricted three body problem and present a proof of the existence orbits, which approach arbitrarily close to one of the primary masses, and at the same time after each approach they move away…

Dynamical Systems · Mathematics 2024-01-24 Maciej J. Capiński , Aleksander Pasiut

The radial-orbit instability is a collective phenomenon that has heretofore only been observed in spherical systems. We find that this instability occurs also in triaxial systems, as we checked by performing extensive N-body simulations…

Astrophysics · Physics 2011-08-31 Fabio Antonini , Roberto Capuzzo-Dolcetta , David Merritt

We review the current state of dynamical modeling for galaxies in terms of being able to measure both the central black hole mass and stellar orbital structure. Both of these must be known adequately to measure either property. The current…

Astrophysics · Physics 2007-05-23 Karl Gebhardt

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