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Although the search for extra-solar co-orbital bodies has not had success so far, it is believed that they must be as common as they are in the Solar System. Co-orbital systems have been widely studied, and there are several works on…

Earth and Planetary Astrophysics · Physics 2021-01-13 L. Liberato , O. Winter

Narrow planetary rings are eccentric and inclined. Particles within a given ring must therefore share the same pericenter and node. We solve for the three-dimensional geometries and mass distributions that enable the Uranian Alpha and Beta…

Astrophysics · Physics 2009-11-10 Eugene I. Chiang , Christopher J. Culter

We investigate the orbital stability of a putative Jovian planet in a compact binary \nu Octantis reported by Ramm et al. We re-analyzed published radial velocity data in terms of self-consistent Newtonian model and we found stable best-fit…

Earth and Planetary Astrophysics · Physics 2014-03-06 Krzysztof Gozdziewski , Mariusz Slonina , Cezary Migaszewski , Anna Rozenkiewicz

The presence of strong large-scale stable magnetic fields in a significant portion of early-type stars, white dwarfs, and neutron stars is well established. Despite this, the origins of these fields remain unresolved, with leading…

We have examined the stability of a sequence of oblate elliptical galaxy models having the Stackel form suggested by Kuz'min & Kutuzov. We have employed the 2-integral DFs given by Dejonghe & de Zeeuw for which flattened non-rotating models…

Astrophysics · Physics 2015-06-24 J. A. Sellwood , M. Valluri

The two innermost planets of the Proxima Centauri system are separated by just 0.02 au, inducing strong gravitational interactions between them. We assess this interaction by leveraging fast orbital stability indicators and find that…

Earth and Planetary Astrophysics · Physics 2024-01-18 Joseph R. Livesey , Rory Barnes , Russell Deitrick

TianQin is a proposed space-based gravitational-wave observatory mission to be deployed in high circular Earth orbits. The equilateral-triangle constellation, with a nearly fixed orientation, can be distorted primarily under the lunisolar…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Zhuangbin Tan , Bobing Ye , Xuefeng Zhang

The debiased absolute-magnitude and orbit distributions as well as source regions for near-Earth objects (NEOs) provide a fundamental frame of reference for studies of individual NEOs and more complex population-level questions. We present…

As low-thrust space missions increase in prevalence, it is becoming increasingly important to design robust trajectories against unforeseen thruster outages or missed thrust events. Accounting for such events is particularly important in…

Optimization and Control · Mathematics 2025-06-18 Amlan Sinha , Ryne Beeson

We investigate the orbital stability of a tilted circumbinary planetary system with three giant planets. The planets are spaced by a constant number ($\Delta$) of mutual Hill radii in the range $\Delta=3.4-12.0$ such that the period ratio…

Earth and Planetary Astrophysics · Physics 2023-08-22 Cheng Chen , Rebecca G. Martin , C. J. Nixon

Because of the high eccentricities (~0.3) of two of the possible planets about the star Upsilon Andromeda, the stability of the system requires careful study. We present results of 1000 numerical simulations which explore the orbital…

Astrophysics · Physics 2009-10-31 Rory Barnes , Thomas Quinn

This paper considers the stability of tidal equilibria for planetary systems in which stellar rotation provides a significant contribution to the angular momentum budget. We begin by applying classic stability considerations for two bodies…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fred C. Adams , Anthony M. Bloch

The area of stable motion for fictitious Trojan asteroids around Uranus' equilateral equilibrium points is investigated with respect to the inclination of the asteroid's orbit to determine the size of the regions and their shape. For this…

Earth and Planetary Astrophysics · Physics 2015-05-14 Rudolf Dvorak , Ákos Bazsó , Li-Yong Zhou

The Kepler mission has detected a number of transiting circumbinary planets (CBPs). Although currently not detected, exomoons could be orbiting some of these CBPs, and they might be suitable for harboring life. A necessary condition for the…

Earth and Planetary Astrophysics · Physics 2018-08-15 Adrian S. Hamers , Maxwell X. Cai , Javier Roa , Nathan Leigh

We present a numerical study on the stability of the 1/2, 2/1 and 1/1 retrograde mean motion resonances in the 3-body problem composed of a solar mass star, a Jupiter mass planet and an additional body with zero mass (elliptic restricted…

Earth and Planetary Astrophysics · Physics 2022-06-15 G. A. Caritá , A. C. Signor , M. H. M. Morais

We investigate the collective behaviour of particle orbits in the vicinity of magnetic reconnection in Earth's magneto-tail. Various regions of different kinds of orbital stability of particle motions are found. We locate regimes of…

Plasma Physics · Physics 2019-08-01 Christoph Lhotka , Philippe Bourdin , Elke Pilat-Lohinger

A special 2D initial conditions' domain of the equal-mass zero angular momentum planar three-body problem, which has been formerly studied, is analyzed to deepen the knowledge of the stability regions in it. The decay times in the domain…

Classical Physics · Physics 2025-10-28 Ivan Hristov , Radoslava Hristova , Kiyotaka Tanikawa

Understanding the long-term evolution of hierarchical triple systems is challenging due to its inherent chaotic nature, and it requires computationally expensive simulations. Here we propose a convolutional neural network model to predict…

Solar and Stellar Astrophysics · Physics 2022-10-26 Florian Lalande , Alessandro Alberto Trani

The new 2-planetary system around HD169830 has been announced during the XIX-th IAP Colloquium "Extrasolar Planets: Today & Tomorrow" (Paris, June 30 - July 4, 2003) by the Geneva Extrasolar Planet Search team. We study the orbital dynamics…

Astrophysics · Physics 2009-09-29 Krzysztof Gozdziewski , Maciej Konacki

We identify a new secular instability of eccentric stellar disks around supermassive black holes. We show that retrograde precession of the stellar orbits, due to the presence of a stellar cusp, induces coherent torques that amplify…

Astrophysics · Physics 2010-04-22 Ann-Marie Madigan , Yuri Levin , Clovis Hopman
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