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This paper explores a multi-agent containment problem, where a fast evader, modeled having constant speed and using constant heading, attempts to escape a circular containment region that is orbited by a slower pursuer with a nonzero…

Optimization and Control · Mathematics 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

The escape dynamics in an analytical gravitational model which describes the motion of stars in a binary system of interacting dwarf spheroidal galaxies is investigated in detail. We conduct a numerical analysis distinguishing between…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

The current lunar exploration, particularly the regular large-scale cargo transportation in the Earth-Moon system proposes requirements for amount of low-energy lunar transfers. The conventional grid-search method to construct low-energy…

Earth and Planetary Astrophysics · Physics 2026-03-12 Shuyue Fu , Di Wu , Xiaowen Liu , Peng Shi , Shengping Gong

We explore the escape dynamics in open Hamiltonian systems with multiple channels of escape continuing the work initiated in Part I. A thorough numerical investigation is conducted distinguishing between trapped (ordered and chaotic) and…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

The Hill Restricted 4-Body Problem (HR4BP) is a coherent time-periodic model that can be used to represent motion in the Sun-Earth-Moon (SEM) system. Periodic orbits were computed in this model to better understand the periodic orbit family…

Dynamical Systems · Mathematics 2025-02-03 Gavin M. Brown , Luke T. Peterson , Damennick B. Henry , Daniel J. Scheeres

The escape dynamics in a simple analytical gravitational model which describes the motion of stars in a Seyfert galaxy is investigated in detail. We conduct a thorough numerical analysis distinguishing between regular and chaotic orbits as…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

The aim of this work is to revise but also explore even further the escape dynamics in the H\'{e}non-Heiles system. In particular, we conduct a thorough and systematic numerical investigation distinguishing between trapped (ordered and…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

Studies of planetary atmospheric composition, variability, and evolution require appropriate theoretical and numerical tools to estimate key atmospheric parameters, among which the mass-loss rate is often the most important. In evolutionary…

Dynamical structures in the circular restricted three-body problem (CR3BP) are fundamental for designing low-energy transfers, as they aid in analyzing phase space transport and designing desirable trajectories. One of these dynamical…

Chaotic Dynamics · Physics 2026-05-14 Naoki Hiraiwa , Mai Bando , Yuzuru Sato , Shinji Hokamoto

In the framework of the planar CR3BP for mass parameter mu=0.0121505, corresponding to the Earth-Moon system, we identify and describe 80 families of periodic orbits encircling both the Earth and the Moon ("transfer" orbits). All the orbits…

Astrophysics · Physics 2007-05-23 Alejandro M. Leiva , Carlos B. Briozzo

The transit method is a promising means to detect exomoons, but few candidates have been identified. For planets close to their stars, the dynamical interaction between a satellite's orbit and the star must be important in their evolution.…

Earth and Planetary Astrophysics · Physics 2023-11-14 Andi Kisare , Daniel Fabrycky

The escape dynamics in a two-dimensional multiwell potential is explored. A thorough numerical investigation is conducted in several types of two-dimensional planes and also in a three-dimensional subspace of the entire four-dimensional…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

For low-energy missions to the Moon and beyond, Ballistic Capture has proven to be a valuable technique for enabling orbital insertion while alleviating propulsion system requirements. This approach offers two key advantages. First, it…

Numerical Analysis · Mathematics 2025-06-12 Lorenzo Anoè , Roberto Armellin , Gregory Lantoine , Claudio Bombardelli

In this work, we investigate the Earth-Moon system, as modeled by the planar circular restricted three-body problem, and relate its dynamical properties to the underlying structure associated with specific invariant manifolds. We consider a…

Chaotic Dynamics · Physics 2020-11-26 Vitor M. de Oliveira , Priscilla A. Sousa-Silva , Iberê L. Caldas

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in…

Earth and Planetary Astrophysics · Physics 2016-11-03 George Voyatzis

In this paper, novel approaches are developed to explore the dynamics of motion in periodic orbits near libration points in cislunar space using the Differential Algebra (DA) framework. The Circular Restricted Three-Body Problem (CR3BP)…

Dynamical Systems · Mathematics 2024-09-06 Mohammed Atallah , Simone Servadio

Lyman-$\alpha$ transits provide an opportunity to test models of atmospheric escape directly. However, translating observations into constraints on the properties of the escaping atmosphere is challenging. The major reason for this is that…

Earth and Planetary Astrophysics · Physics 2024-11-01 Ethan Schreyer , James. E. Owen , R. O. Parke Loyd , Ruth Murray-Clay

Extrasolar planets and belts of debris orbiting post-main-sequence single stars may become unbound as the evolving star loses mass. In multiple star systems, the presence or co-evolution of the additional stars can significantly complicate…

Earth and Planetary Astrophysics · Physics 2015-06-04 Dimitri Veras , Christopher A. Tout

The aim of this work is to explore the escape process of three-dimensional orbits in a star cluster rotating around its parent galaxy in a circular orbit. The gravitational field of the cluster is represented by a smooth, spherically…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

Transmission spectroscopy is a key technique in the characterization of exoplanet atmospheres and has been widely applied to planets undergoing hydrodynamic escape. While a robust analytic theory exists for transmission spectra of…

Earth and Planetary Astrophysics · Physics 2026-04-09 Leonardos Gkouvelis