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Related papers: Optimal Low-Thrust Orbit Transfers Connecting Gate…

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We propose a reachability approach for infinite and finite horizon multi-objective optimization problems for low-thrust spacecraft trajectory design. The main advantage of the proposed method is that the Pareto front can be efficiently…

Optimization and Control · Mathematics 2022-02-21 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

This study proposes a new automated strategy for designing and optimizing three-dimensional interplanetary low-thrust (LT) trajectories. The method formulates the design as a hybrid optimal control problem and solves it using a two-step…

Optimization and Control · Mathematics 2023-09-22 Burhani M. Burhani , Elena Fantino , Roberto Flores , Manuel Sanjurjo-Rivo

This study applies a new approach, the Theory of Functional Connections (TFC), to solve the two-point boundary-value problem (TPBVP) in non-Keplerian orbit transfer. The perturbations considered are drag, solar radiation pressure,…

Earth and Planetary Astrophysics · Physics 2021-02-24 Allan K. de Almeida Junior , Hunter Johnston , Carl Leake , Daniele Mortari

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

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

Optimization and Control · Mathematics 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

Current space exploration programs call for the establishment of a permanent Human presence on the Moon. This paper considers periodic orbits of a shuttle between the Earth and the Moon. Such a shuttle will be needed to bring supplies to…

Earth and Planetary Astrophysics · Physics 2023-08-03 T. Carter , M. Humi

In the design of multitarget interplanetary missions, there are always many options available, making it often impractical to optimize in detail each transfer trajectory in a preliminary search phase. Fast and accurate estimation methods…

Optimization and Control · Mathematics 2020-01-08 Haiyang Li , Shiyu Chen , Dario Izzo , Hexi Baoyin

Orbital maneuver planning is a critical aspect of mission design, aimed at minimizing propellant consumption, which is directly correlated with the total velocity change ($\Delta V$). While analytical solutions like the Hohmann and…

Earth and Planetary Astrophysics · Physics 2025-08-06 Phuc Hao Do , Tran Duc Le

In this paper, the solvability of the Inverse Optimal Control (IOC) problem based on two existing minimum principal methods, is analysed. The aim of this work is to answer the question regarding what kinds of trajectories, that is depending…

Optimization and Control · Mathematics 2024-03-15 Afreen Islam , Guido Herrmann , Joaquin Carrasco

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

A vast wealth of literature exists on the topic of rocket trajectory optimisation, particularly in the area of interplanetary trajectories due to its relevance today. Studies on optimising interstellar and intergalactic trajectories are…

Space Physics · Physics 2017-02-02 Kenneth K H Fung , Geraint F Lewis , Xiaofeng Wu

In this paper we develop a time reversal method for the radiative transport equation to solve two problems: an inverse problem for the recovery of an initial condition from boundary measurements, and the exact boundary controllability of…

Analysis of PDEs · Mathematics 2013-08-06 Sebastian Acosta

The Lunar Gateway is expected to be positioned on-orbit around the Moon or in a Halo orbit at the L2 Lagrange point. The proposed Lunar Gateway is a game-changer for enabling new, high-priority lunar science utilizing Cu-beSats and presents…

Instrumentation and Methods for Astrophysics · Physics 2019-04-02 Himangshu Kalita , Miguel Donayre , Victor Padilla , Anthony Riley , Jesse Samitas , Brandon Burnett , Erik Asphaug , Mark Robinson , Jekan Thangavelautham

The trajectory optimization of the atmospheric entry of a reusable launch vehicle is studied. The objective is to maximize the crossrange of the vehicle subject to two control-inequality path constraints, two state-inequality path…

Optimization and Control · Mathematics 2024-06-07 Cale A. Byczkowski , Anil V. Rao

This paper solves and analyzes a trajectory optimization problem to deflect Earth-crossing objects (ECOs) employing continuous thrust obtained using a laser ablative system. The optimal control is determined for various initial ECO-Earth…

Optimization and Control · Mathematics 2025-09-16 Vivek Verma , Shribharath B. , Mangal Kothari

The reachable set of controlled dynamical systems consist of the set of all possible reachable states from an initial condition, over a certain period of time under various control and operation constraints and exogenous disturbances. For…

Optimization and Control · Mathematics 2023-12-14 Sean R. Bowerfind , Ehsan Taheri

Near-Earth Objects (NEOs) are attractive exploration targets due to their accessibility, scientific value, and resources. Although trajectory design has revealed efficient pathways to these bodies, systematic strategies for Earth-NEO…

Earth and Planetary Astrophysics · Physics 2026-03-31 Alessandro Beolchi , Mauro Pontani , Kathleen Howell , Chiara Pozzi , Sean Swei , Elena Fantino

Agile attitude maneuvering maximizes the utility of remote sensing satellite constellations. By taking into account a satellite's physical properties and its actuator specifications, we may leverage the full performance potential of the…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Emmanuel Sin , Sreeja Nag , Vinay Ravindra , Alan Li , Murat Arcak

Homotopy methods have been widely utilized to solve low-thrust orbital transfer problems, however, it is not guaranteed that the optimal solution can be obtained by the existing homotopy methods. In this paper, a new homotopy method is…

Instrumentation and Methods for Astrophysics · Physics 2018-09-05 Binfeng Pan , Xun Pan , Siqi Zhang

We study the minimum time control problem of the launchers. The optimal trajectories of the problem may contain singular arcs, and thus chattering arcs. The motion of the launcher is described by its attitude kinematics and dynamics and…

Optimization and Control · Mathematics 2015-09-28 Jiamin Zhu , Emmanuel Trélat , Max Cerf