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Related papers: Capture in restricted four body problem

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In this work we introduce a planar restricted four-body problem where a massless particle moves under the gravitational influence due to three bodies following the eight figure choreography, and we explore some symmetric periodic orbits of…

Dynamical Systems · Mathematics 2019-10-29 Ricardo Lara , Abimael Bengochea

Resonant chains are groups of planets for which each pair is in resonance, with an orbital period ratio locked at a rational value (2/1, 3/2, etc.). Such chains naturally form as a result of convergent migration of the planets in the…

Earth and Planetary Astrophysics · Physics 2017-09-20 J. -B. Delisle

An ever-growing observational aggregate of extrasolar planets has revealed that systems of planets that reside in or near mean-motion resonances are relatively common. While the origin of such systems is attributed to protoplanetary…

Earth and Planetary Astrophysics · Physics 2015-06-16 Konstantin Batygin , Alessandro Morbidelli

A common origin for a host of stellar phenomena in galactic centres is the tidal encounter between stellar binaries and a massive black hole (MBH), known as the ``Hills mechanism''. Following the encounter, binaries may disrupt into an…

Astrophysics of Galaxies · Physics 2025-05-14 Biancamaria Sersante , Zephyr Penoyre , Elena Maria Rossi

The circular restricted three-body problem (CR3BP) with solar radiation pressure (SRP) has often been analyzed with assumptions made on a spacecraft's attitude, such that the problem remains Hamiltonian. These assumptions are…

Dynamical Systems · Mathematics 2024-02-13 Hailee Hettrick , David W. Miller , Begum Cannataro

The focus of this work is the current distribution of asteroids in co-orbital motion with Venus, Earth and Jupiter, under a quasi-coplanar configuration and for a medium-term timescale of the order of 900 years. A co-orbital trajectory is a…

Earth and Planetary Astrophysics · Physics 2022-11-16 Sara Di Ruzza , Alexandre Pousse , Elisa Maria Alessi

Through multiple, small unmanned probes we can more efficiently capture an asteroid and return it to lunar orbit. The Asteroid Return and Exploration System (ARES) aims to make use of previously tested technology with the application of a…

Space Physics · Physics 2014-10-08 Charles Domercant , Aiden Gonzalez

In a previous article, we obtained the first-ever list of astrometric binary asteroid candidates. Some of these candidates have now been confirmed. In that previous work, however, the details of the statistical methods were not provided.…

When gas giant protoplanets grow sufficiently massive, circumplanetary disks would form. While solid bodies captured by the circumplanetary disks likely contribute to the growth of the planets and regular satellites around them, some of…

Earth and Planetary Astrophysics · Physics 2016-04-29 Ryo Suetsugu , Keiji Ohtsuki

Although several S-type and P-type planets in binary systems were discovered in past years, S-type planets have not yet been found in close binaries with an orbital separation not more than 5 au. Recent studies suggest that S-type planets…

Earth and Planetary Astrophysics · Physics 2018-10-30 Yan-Xiang Gong , Jianghui Ji

In Cislunar space, spacecraft are able to exploit naturally periodic orbits, which provide operational reliability. However, these periodic orbits only exist in a limited volume. Enabled by low-thrust propulsion, spacecraft can produce a…

Dynamical Systems · Mathematics 2025-02-10 Colby C. Merrill , Jackson Kulik , Matthew J. Bryan , Dmitry Savransky

This paper presents a novel fuel-optimal guidance and control methodology for spacecraft swarm reconfiguration in Restricted Multi-Body Problems (RMBPs) with a guarantee of passive safety, maintaining miss distance even under abrupt loss of…

Optimization and Control · Mathematics 2025-10-13 Yuji Takubo , Walter Manuel , Ethan Foss , Simone D'Amico

Missions to rendezvous with or capture an asteroid present significant interest both from a geophysical and safety point of view. They are key to the understanding of our solar system are as well stepping stones for interplanetary human…

Optimization and Control · Mathematics 2015-08-05 S. Bresford , Monique Chyba , Thomas Haberkorn , Geoff Patterson

HR 8799 is currently the only multiple-planet system that has been detected with direct imaging, with four giant planets orbiting at large separations from this young late A star. Orbital motion provides insight into the stability, and…

Earth and Planetary Astrophysics · Physics 2011-10-10 Remi Soummer , J. Brendan Hagan , Laurent Pueyo , Adrien Thormann , Abhijith Rajan , Christian Marois

Planets orbiting one of the two stars in a binary are vulnerable to gravitational perturbations from the other star. Particularly, highly eccentric companion stars risk disrupting planetary orbits, such as in the extreme system TOI 4633…

Earth and Planetary Astrophysics · Physics 2025-01-13 Jakob Stegmann , Evgeni Grishin , Cole Johnston , Nora L. Eisner , Stephen Justham , Selma E. de Mink , Hagai B. Perets

To better understand the orbital dynamics of exoplanets around close binary stars, i.e., circumbinary planets (CBPs), we applied techniques from dynamical systems theory to a physically motivated set of solutions in the Circular Restricted…

Earth and Planetary Astrophysics · Physics 2023-03-08 Andrew Langford , Lauren M. Weiss

This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $\Delta V$ transfers between periodic orbits, including…

Space Physics · Physics 2024-05-30 Flavio Tagliaferri , Emmanuel Blazquez , Giacomo Acciarini , Dario Izzo

The proposed multi-impact model explains the formation of the Moon, Charon, and binary asteroids without invoking catastrophic cosmic events. The main elements of the new model are as follows: a. A primordial, low-mass proto-satellite disk…

Earth and Planetary Astrophysics · Physics 2025-12-30 Nick Gorkavyi

Multi-wave inverse problems are indirect imaging methods using the interaction of two different imaging modalities. One brings spatial accuracy, and the other contrast sensitivity. The inversion method typically involve two steps. The first…

Analysis of PDEs · Mathematics 2023-01-05 Yves Capdeboscq , Tianrui Dai

It is widely recognized that the irregular satellites of the giant planets were captured from initially heliocentric orbits. However, the mechanism of capture and the source region from which they were captured both remain unknown. We…

Earth and Planetary Astrophysics · Physics 2018-04-25 Ariel Graykowski , David Jewitt
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