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The orbital dynamics of a spacecraft, or a comet, or an asteroid in the Earth-Moon system in a scattering region around the Moon using the three dimensional version of the circular restricted three-body problem is numerically investigated.…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

As interest in the Earth-Moon transfers renewed around the world, understanding the solution space of transfer trajectories facilitates the construction of transfers. This paper is devoted to reporting a novel or less-reported phenomenon…

Optimization and Control · Mathematics 2025-10-31 Shuyue Fu , Di Wu , Shengping Gong

Distant prograde orbits around the Moon exhibit remarkable potential for practical applications such as cislunar surveillance activities and low-energy transfers due to their instability. Previous works on transfers from circular low Earth…

Earth and Planetary Astrophysics · Physics 2025-08-05 Shuyue Fu , Di Wu , Yihan Peng , Peng Shi , Shengping Gong

Understanding the dynamical structure of cislunar space beyond geosynchronous orbit is critical for both lunar exploration and for high-Earth-orbiting trajectories. In this study, we investigate the role of mean-motion resonances and their…

Earth and Planetary Astrophysics · Physics 2026-02-24 Bhanu Kumar , Anjali Rawat , Aaron J. Rosengren , Shane D. Ross

Low-energy transfers are advantageous for lunar exploration missions due to low fuel consumption and extended launch periods. This paper is devoted to the classification of interior transit orbits and their application on low-energy…

Earth and Planetary Astrophysics · Physics 2025-04-01 Shuyue Fu , Di Wu , Shengping Gong

The case of the planar circular restricted three-body problem is used as a test field in order to determine the character of the orbits of a small body which moves under the gravitational influence of the two heavy primary bodies. We…

Space Physics · Physics 2017-09-28 Euaggelos E. Zotos

Cislunar space is becoming a critical domain for future lunar and interplanetary missions, yet its remoteness, sparse infrastructure, and unstable dynamics create single points of failure. Adversaries in cislunar orbits can exploit these…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Filippos Fotiadis , Quentin Rommel , Gregory Falco , Ufuk Topcu

This contribution focuses on the design of low-energy transfers between planetary moons and presents an efficient technique to compute trajectories characterized by desirable behaviors in the vicinities of the departure and destination…

Chaotic Dynamics · Physics 2023-08-22 David Canales , Kathleen C. Howell , Elena Fantino , Annika J. Gilliam

Given the interest in future space missions devoted to the exploration of key moons in the solar system and that may involve libration point orbits, an efficient design strategy for transfers between moons is introduced that leverages the…

Earth and Planetary Astrophysics · Physics 2021-10-08 David Canales , Kathleen C. Howell , Elena Fantino

Spacecraft trajectory design is a global search problem, where previous work has revealed specific solution structures that can be captured with data-driven methods. This paper explores two global search problems in the circular restricted…

Machine Learning · Computer Science 2024-12-31 Jannik Graebner , Anjian Li , Amlan Sinha , Ryne Beeson

We use the planar circular restricted three-body problem in order to numerically investigate the orbital dynamics of orbits of a spacecraft, or a comet, or an asteroid in the Saturn-Titan system in a scattering region around the Titan. The…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

We consider the planar circular equilateral restricted four body-problem where a test particle of infinitesimal mass is moving under the gravitational attraction of three primary bodies which move on circular orbits around their common…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

The escape dynamics around the triangular Lagrangian point L5 in the real Sun-Earth-Moon-Spacecraft system is investigated. Appearance of the finite time chaotic behaviour suggests that widely used methods and concepts of dynamical system…

Space Physics · Physics 2017-07-26 Judit Sliz , Tamas Kovacs , Aron Suli

The design of transfers to periodic orbits in the Earth-Moon system has regained prominence with NASA's Artemis and CNSA's Chang'e programs. This work addresses the problem of linking ballistic capture trajectories - exploiting multi-body…

Earth and Planetary Astrophysics · Physics 2026-01-09 Lorenzo Anoè , Roberto Armellin , Jack Yarndley , Thomas Caleb , Stéphanie Lizy-Destrez

Discoveries of exoplanets orbiting evolved stars motivate critical examinations of the dynamics of $N$-body systems with mass loss. Multi-planet evolved systems are particularly complex because of the mutual interactions between the…

Earth and Planetary Astrophysics · Physics 2015-06-12 George Voyatzis , John D. Hadjidemetriou , Dimitri Veras , Harry Varvoglis

This work focuses on the identification of reliable and repeatable spatial (three-dimensional) trajectories that link the Earth and the Moon. For this purpose, this paper aims to extend the 2:1 resonant prograde family and 2:1 resonant…

Earth and Planetary Astrophysics · Physics 2023-05-03 Andrew Binder , David Arnas

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

Several families of irregular moons orbit the giant planets. These moons are thought to have been captured into planetocentric orbits after straying into a region in which the planet's gravitation dominates solar perturbations (the Hill…

Astrophysics · Physics 2007-05-23 Sergey A. Astakhov , David Farrelly

We consider the Earth-Moon planar circular restricted three body problem and present a proof of the existence orbits, which approach arbitrarily close to one of the primary masses, and at the same time after each approach they move away…

Dynamical Systems · Mathematics 2024-01-24 Maciej J. Capiński , Aleksander Pasiut

Most of the planetary systems discovered around binary stars are located at approximately three semi-major axes from the barycentre of their system, curiously close to low-order mean-motion resonances (MMRs). The formation mechanism of…

Earth and Planetary Astrophysics · Physics 2023-01-25 Emmanuel Gianuzzi , Cristian A. Giuppone , Nicolás Cuello
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