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The present paper studies the escape mechanism in collinear three point mass systems with small-range-repulsive/large-range-attractive pairwise-interaction. Specifically, we focus on systems with non-negative total energy. We show that on…

Mathematical Physics · Physics 2015-05-14 Daniel Pasca , manuele Santoprete , Cristina Stoica

Among the group of extrasolar planets, transiting planets provide a great opportunity to obtain direct measurements for the basic physical properties, such as mass and radius of these objects. These planets are therefore highly important in…

Instrumentation and Methods for Astrophysics · Physics 2009-06-19 András Pál

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

The habitability of the surface of any planet is determined by a complex evolution of its interior, surface, and atmosphere. The electromagnetic and particle radiation of stars drive thermal, chemical and physical alteration of planetary…

There is a growing number of Earth's co-orbital bodies being discovered. At least five of them are known to be temporarily in quasi-satellite orbits. One of those, 469219 Kamo'oalewa, was identified as possibly having the same composition…

Earth and Planetary Astrophysics · Physics 2025-09-16 R. Sfair , L. C. Gomes , O. C. Winter , R. A. Moraes , G. Borderes-Motta , C. M. Schäfer

One of the great quests of astronomy is to obtain the spectrum of a terrestrial planet orbiting within the habitable zone of its star, and the dominant challenge in doing so is to isolate the light of the planet from that of the star.…

Astrophysics · Physics 2007-06-08 David Charbonneau , Drake Deming

A simple transit model is described along with tests of this model against published results for 4 exoplanet systems (Kepler-1, 2, 8, and 77). Data from the Kepler mission are used. The Markov Chain Monte Carlo (MCMC) method is applied to…

Earth and Planetary Astrophysics · Physics 2017-06-28 Yi Ji , Timothy Banks , Edwin Budding , Michael Rhodes

The circular restricted three body problem is investigated in the context of accretion and scattering processes. In our model a large number of identical non-interacting mass-less planetesimals are considered in planar case orbiting a…

Earth and Planetary Astrophysics · Physics 2015-06-23 Tamás Kovács , Zsolt Regály

Transiting planet systems offer an unique opportunity to observationally constrain proposed models of the interiors (radius, composition) and atmospheres (chemistry, dynamics) of extrasolar planets. The spectacular successes of ground-based…

Earth and Planetary Astrophysics · Physics 2009-12-07 A. Sozzetti , C. Afonso , R. Alonso , D. L. Blank , C. Catala , H. Deeg , J. L. Grenfell , C. Hellier , D. W. Latham , D. Minniti , F. Pont , H. Rauer

We consider the planar circular restricted three-body problem (PCRTBP), as a model for the motion of a spacecraft relative to the Earth-Moon system. We focus on the Lagrange equilibrium points $L_1$ and $L_2$. There are families of Lyapunov…

Dynamical Systems · Mathematics 2022-01-12 Marian Gidea , Rafael de la Llave , Maxwell Musser

Nowadays, many extrasolar planetary systems possessing at least one planet on a highly eccentric orbit have been discovered. In this work, we study the possible long-term stability of such systems. We consider the general three body problem…

Earth and Planetary Astrophysics · Physics 2016-12-09 Kyriaki I. Antoniadou , George Voyatzis

Invariant manifolds play an important role in organizing global dynamical behaviors. For example, it is found that in multi-well conservative systems where the potential energy wells are connected by index-1 saddles, the motion between…

Dynamical Systems · Mathematics 2020-10-22 Jun Zhong , Shane D. Ross

Escape from a potential well can occur in different physical systems, such as capsize of ships, resonance transitions in celestial mechanics, and dynamic snap-through of arches and shells, as well as molecular reconfigurations in chemical…

Chaotic Dynamics · Physics 2019-11-05 Jun Zhong , Shane D. Ross

Surveys have revealed many multi-planet systems containing super-Earths and Neptunes in orbits of a few days to a few months. There is debate whether in situ assembly or inward migration is the dominant mechanism of the formation of such…

Earth and Planetary Astrophysics · Physics 2016-12-23 Sean M. Mills , Daniel C. Fabrycky , Cezary Migaszewski , Eric B. Ford , Erik Petigura , Howard Isaacson

Understanding the movement behaviours of individuals and the way they react to the external world is a key component of any problem that involves the modelling of human dynamics at a physical level. In particular, it is crucial to capture…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Gabriele Galatolo , Mirco Nanni

Many extrasolar systems possessing planets in mean-motion resonance or resonant chain have been discovered to date. The transit method coupled with transit timing variation analysis provides an insight into the physical and orbital…

Earth and Planetary Astrophysics · Physics 2020-08-19 Kyriaki I. Antoniadou , Anne-Sophie Libert

Recently Kipping (2021) identified the so-called "exomoon corridor", a potentially powerful new tool for identifying possible exomoon hosts, enabled by the observation that fully half of all planets hosting an exomoon will exhibit transit…

Earth and Planetary Astrophysics · Physics 2021-07-07 Alex Teachey

We herein utilize the general three-body problem (GTBP) as a model, in order to simulate resonant systems consisting of a star and two planets, where at least one of them is highly eccentric. We study them in terms of their long-term…

Earth and Planetary Astrophysics · Physics 2015-09-10 K. I. Antoniadou , G. Voyatzis

Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow…

Dynamical Systems · Mathematics 2017-11-22 Shibabrat Naik , Francois Lekien , Shane D. Ross

The resurgence of lunar operations requires advancements in cislunar navigation and Space Situational Awareness (SSA). Challenges associated to these tasks have created an interest in autonomous planning, navigation, and tracking…

Robotics · Computer Science 2024-09-02 Trevor N. Wolf , Brandon A. Jones
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