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In this paper, we consider the geodesic flow on factors of the hyperbolic plane. We prove that a periodic orbit including a 2-antiparallel encounter has a partner orbit. We construct the partner orbit and give an estimate for the action…

Dynamical Systems · Mathematics 2017-03-10 Huynh Minh Hien

We derive a simple analytical expression for the two-body force in a sub-class of MOND-like theories and make testable predictions in the modification to the two-body orbital period, shape, and precession rate, and escape speed etc. We…

Astrophysics of Galaxies · Physics 2010-11-11 Hongsheng Zhao , Baojiu Li , Olivier Bienaymé

The origin of the Taurid complex is still debated. In addition to comet 2P/Encke, various asteroids were proposed to be members of the complex and thus possible parent bodies of Taurid meteoroids. Studies of physical properties of Taurid…

Earth and Planetary Astrophysics · Physics 2020-01-27 Jiri Borovicka , Pavel Spurny

The porosity of an asteroid is important when studying the evolution of our solar system through small bodies and for planning mitigation strategies to avoid disasters due to asteroid impacts. Our knowledge of asteroid porosity largely…

Earth and Planetary Astrophysics · Physics 2021-03-02 Tomomi Omura , Akiko M. Nakamura

Determining the source regions of meteorites is one of the major goals of current research in planetary science. Whereas asteroid observations are currently unable to pinpoint the source regions of most meteorite classes, observations of…

The problem of (non)random distribution of points on the sphere is investigated. Published procedures for obtaining preferred direction and preferred plane for points on the sphere (in the sky) are discussed. It is shown that the published…

Astrophysics · Physics 2016-08-30 Jozef Klacka

In this study, equilibrium points and periodic orbits in the potential field of asteroids are investigated. We present the linearized equations of motion relative to the equilibrium points and characteristic equations. We find that the…

Earth and Planetary Astrophysics · Physics 2015-03-17 Yu Jiang

Proper elements are quasi-invariants of a Hamiltonian system, obtained through a normalization procedure. Proper elements have been successfully used to identify families of asteroids, sharing the same dynamical properties. We show that…

Earth and Planetary Astrophysics · Physics 2022-04-06 Alessandra Celletti , Giuseppe Pucacco , Tudor Vartolomei

We deal with the presence of topological defects in models for two real scalar fields. We comment on defects hosting topological defects, and we search for explicit defect solutions using the trial orbit method. As we know, under certain…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , W. Freire , L. Losano , R. F. Ribeiro

Asteroids formed in a dynamically quiescent disk but their orbits became gravitationally stirred enough by Jupiter to lead to high-speed collisions. As a result, many dozen large asteroids have been disrupted by impacts over the age of the…

Earth and Planetary Astrophysics · Physics 2016-08-31 D. Nesvorny , M. Broz , V. Carruba

With the discovery of now more than 500 exoplanets, we present a statistical analysis of the planetary orbital periods and their relationship to the rotation periods of their parent stars. We test whether the structure of planetary orbits,…

Earth and Planetary Astrophysics · Physics 2011-09-22 Jean-Paul Zoghbi

A method for determining the orbital parameters of interacting pairs of galaxies is presented and evaluated using artificial data. The method consists of a genetic algorithm which can search efficiently through the very large space of…

Astrophysics · Physics 2009-10-30 M. Wahde

The orbits of asteroids from the MPC catalogue of May 31, 2020 with absolute magnitudes H < 16m, in the 3:1, 5:2 and 2:1 mean motion resonances (MMRs) with Jupiter were selected. The number of the orbits in the 2:1 MMR is dozens times…

Earth and Planetary Astrophysics · Physics 2023-02-07 Kazantsev A. M

The trajectory and the orbital velocity are determined for an object moving in a gravitational system, in terms of fundamental and independent variables. In particular, considering a path on equipotential line, the elliptical orbit is…

Classical Physics · Physics 2016-02-02 Giuseppina Modestino

We are interested in stable periodic orbits for spacecrafts in the gravitational field of minor celestial bodies. The stable periodic orbits around minor celestial bodies are useful not only for the mission design of the deep space…

Earth and Planetary Astrophysics · Physics 2018-05-29 Yu Jiang , Juergen Schmidt , Hengnian Li , Xiaodong Liu , Yue Yang

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 implement the geometric method proposed in ([9], [3], [16]) to analytically predict the sequence of bifurcations leading to a change of stability and/or the appearance of new periodic orbits in the secular 3D planetary three body…

Mathematical Physics · Physics 2025-10-01 Rita Mastroianni , Antonella Marchesiello , Christos Efthymiopoulos , Giuseppe Pucacco

Torques from a mutually inclined perturber can change a transiting planet's impact parameter, resulting in variations in the transit shape and duration. Detection of and upper limits on changes in impact parameter yield valuable constraints…

Earth and Planetary Astrophysics · Physics 2020-04-24 Rebekah I. Dawson

We analytically compute the long-term orbital variations of a test particle orbiting a central body acted upon by an incident monochromatic plane gravitational wave. We assume that the characteristic size of the perturbed two-body system is…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Lorenzo Iorio

In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital configurations of the planets, initially…

Earth and Planetary Astrophysics · Physics 2015-06-16 Adrián Rodríguez , Cristian A. Giuppone , Tatiana A. Michtchenko
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