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Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point $L_1$, located between the Sun and the Earth. We show that…

Dynamical Systems · Mathematics 2025-09-25 Amadeu Delshams , Marian Gidea , Pablo Roldan

This paper investigates the motion of a small particle moving near the triangular points of the Earth-Moon system. The dynamics are modeled in the Hill restricted 4-body problem (HR4BP), which includes the effect of the Earth and Moon as in…

Dynamical Systems · Mathematics 2024-02-29 Luke T. Peterson , Gavin Brown , Àngel Jorba , Daniel Scheeres

The growing interest in the cislunar domain over the past decade has led to an increasing demand for low-thrust missions to key orbits within this region. These low-thrust missions, typically characterized by long thrust arcs, are highly…

Numerical Analysis · Mathematics 2025-03-10 Amlan Sinha , Ryne Beeson

Consider the Restricted Planar Circular Three Body Problem (RPC3BP), which models the motion of a massless particle (Asteroid) under the gravitational influence of two massive bodies (the primaries) moving on circular orbits. By considering…

Mathematical Physics · Physics 2025-12-24 Marcel Guardia , José Lamas , Tere M-Seara

This paper presents a novel approach for the preliminary design of Low-Thrust, many-revolution transfers. The main feature of the novel approach is a considerable reduction in the control parameters and a consequent gain in computational…

Optimization and Control · Mathematics 2012-07-17 Federico Zuiani , Massimiliano Vasile

Gravitational scattering of small bodies (planetesimals) by a planet remains a fundamental problem in celestial mechanics. It is traditionally modeled within the circular restricted three-body problem (CR3BP), where individual particle…

Earth and Planetary Astrophysics · Physics 2026-02-11 Yukun Huang , Brett Gladman , Eiichiro Kokubo

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

In the framework of multi-body dynamics, successive encounters with a third body, even if well outside of its sphere of influence, can noticeably alter the trajectory of a spacecraft. Examples of these effects have already been exploited by…

Space Physics · Physics 2017-09-14 J. P. Sanchez , C. Colombo , E. M. Alessi

Periodic orbits (POs) play a central role in the circular restricted three-body problem (CRTBP). This paper introduces a method to search for POs by identifying single- and multiple-revolution fixed points in chosen Poincare maps that…

Earth and Planetary Astrophysics · Physics 2025-09-17 Xingyu Zhou , Lorenzo Ano`e , Roberto Armellin , Dong Qiao , Xiangyu Li

In the last decades a peculiar family of solutions of the Circular Restricted Three Body Problem has been used to explain the temporary captures of small bodies and spacecrafts by a planet of the Solar System. These solutions, which transit…

Earth and Planetary Astrophysics · Physics 2021-09-01 Rocío Isabel Páez , Massimiliano Guzzo

This paper proposes a systematic method for generating practical and robust low-thrust spacecraft trajectories. One contribution is to consider the change in mass of the spacecraft at two levels: a) the propulsive acceleration and b) the…

Optimization and Control · Mathematics 2026-02-03 Meysam Babapour , Ehsan Taheri

In this paper a direct method based on a transcription by finite elements in time has been used to design optimal interplanetary trajectories, exploiting a combination of gravity assist maneuvers and low-thrust propulsion. A multiphase…

Optimization and Control · Mathematics 2011-05-11 Massimiliano Vasile , Franco Bernelli-Zazzera

With an increasing interest in the design of long and complex space missions, the search for orbits that require the least amount of fuel is of fundamental interest. This paper develops existing computational models for locating Unstable…

Dynamical Systems · Mathematics 2026-01-21 Vinay Sharma , Sergei I Chernyshenko

This work presents a mission concept for in-orbit particle collection for sampling and exploration missions towards Near-Earth asteroids. Ejecta is generated via a small kinetic impactor and two possible collection strategies are…

Earth and Planetary Astrophysics · Physics 2022-12-20 Mirko Trisolini , Camilla Colombo , Yuichi Tsuda

The discovery of interstellar interlopers such as 1I/`Oumuamua, 2I/Borisov, and 3I/ATLAS have highlighted the necessity of understanding the dynamical pathways that eject small bodies from planetary systems into hyperbolic trajectories. In…

Earth and Planetary Astrophysics · Physics 2026-02-16 Hayden Monk , Darryl Z. Seligman

The minimum-fuel low-thrust transfer between circular orbits is formulated using the Edelbaum's averaged dynamics with the addition of the nodal precession due to the first zonal term. The extremal analysis shows that an optimal transfer is…

Optimization and Control · Mathematics 2015-03-03 Max Cerf

Long time-duration low-thrust nonlinear optimal spacecraft trajectory global search is a computationally and time expensive problem characterized by clustering patterns in locally optimal solutions. During preliminary mission design,…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Jannik Graebner , Ryne Beeson

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

In this paper, the near-optimal capture problem is numerically investigated to locate the optimal capture points around Charon using the Pluto-Charon planar circular restricted three-body problem (PCRTBP). Capture orbits are divided into…

Earth and Planetary Astrophysics · Physics 2019-04-09 Euaggelos E. Zotos , Yi Qi

Gateway will represent a primary logistic infrastructure in cislunar space. The identification of efficient orbit transfers capable of connecting Earth, Moon, and Gateway paves the way for enabling refurbishment, servicing, and utilization…

Optimization and Control · Mathematics 2024-12-06 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino