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While the Pontryagin Maximum Principle can be used to calculate candidate extremals for optimal orbital transfer problems, these candidates cannot be guaranteed to be at least locally optimal unless sufficient optimality conditions are…

最优化与控制 · 数学 2016-06-08 Zheng Chen

The optimization of low-thrust, multi-revolution orbit transfer trajectories is often regarded as a difficult problem in modern astrodynamics. In this paper, a flexible and computationally efficient approach is presented for the…

最优化与控制 · 数学 2024-09-11 Mirko Leomanni , Gianni Bianchini , Andrea Garulli , Renato Quartullo

A numerical optimization study of minimum-fuel Earth-based orbital transfers from low-Earth orbit (LEO) to either medium-Earth orbit (MEO), high-Earth orbit (HEO), or geostationary orbit (GEO), is performed. Various values of maximum…

最优化与控制 · 数学 2022-06-29 Brittanny V. Holden , Anil V. Rao

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…

最优化与控制 · 数学 2024-12-06 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

This study introduces an approach to obtain a neighboring extremal optimal control (NEOC) solution for a closed-loop optimal control problem, applicable to a wide array of nonlinear systems and not necessarily quadratic performance indices.…

最优化与控制 · 数学 2023-12-11 Ayush Rai , Shaoshuai Mou , Brian D. O. Anderson

One of the fundamental problems in spacecraft trajectory design is finding the optimal transfer trajectory that minimizes the propellant consumption and transfer time simultaneously. We formulate this as a multi-objective optimal control…

系统与控制 · 电气工程与系统科学 2022-12-15 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

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…

地球与行星天体物理 · 物理学 2026-01-09 Lorenzo Anoè , Roberto Armellin , Jack Yarndley , Thomas Caleb , Stéphanie Lizy-Destrez

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…

最优化与控制 · 数学 2015-03-03 Max Cerf

Optimization of low-thrust trajectories that involve a larger number of orbit revolutions is considered a challenging problem. This paper describes a high-precision symplectic method and optimization techniques to solve the minimum-energy…

空间物理 · 物理学 2019-09-19 Zhibo E , Davide Guzzetti

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…

天体物理仪器与方法 · 物理学 2018-09-05 Binfeng Pan , Xun Pan , Siqi Zhang

A computational approach is developed for the design of continuous low thrust transfers in the planar circular restricted three-body problem. The transfer design method of invariant manifolds is extended with the addition of continuous low…

最优化与控制 · 数学 2015-10-12 Shankar Kulumani , Taeyoung Lee

This work focuses on minimum-time low-thrust orbit transfers from a prescribed low Earth orbit to a specified low lunar orbit. The well-established indirect formulation of minimum-time orbit transfers is extended to a multibody dynamical…

地球与行星天体物理 · 物理学 2024-06-04 Alessandro Beolchi , Mauro Pontani , Chiara Pozzi , Elena Fantino

The minimum-fuel orbital transfer is analyzed in the case of a launcher upper stage using a constantly thrusting engine. The thrust level is assumed to be constant and its value is optimized together with the thrust direction. A closed-loop…

最优化与控制 · 数学 2017-04-05 Max Cerf

The problem of minimum-time, low-thrust, Earth-to-Mars interplanetary orbital trajectory optimization is considered. The minimum-time orbital transfer problem is modeled as a four-phase optimal control problem where the four phases…

最优化与控制 · 数学 2021-04-08 Brittanny V. Holden , Shan He , Anil V. Rao

Trajectory optimization of low-thrust perturbed orbit rendezvous is a crucial technology for space missions in low Earth orbits, which is difficult to solve due to its initial value sensitivity, especially when the transfer trajectory has…

天体物理仪器与方法 · 物理学 2023-05-03 An-yi Huang , Heng-nian Li

This paper presents a simple approach to low-thrust optimal-fuel and optimal-time transfer problems between two elliptic orbits using the Cartesian coordinates system. In this case, an orbit is described by its specific angular momentum and…

最优化与控制 · 数学 2014-12-09 Hantian Zhang , Dong Eui Chang , Qingjie Cao

A deep-space exploration mission with low-thrust propulsion to rendezvous with multiple asteroids is investigated. Indirect methods, based on the optimal control theory, are implemented to optimize the fuel consumption. The application of…

天体物理仪器与方法 · 物理学 2016-03-09 Fanghua Jiang , Gao Tang

Low-thrust orbital transfers are difficult to optimize by indirect methods. The main issues come from the costate guess and from the numerical propagation accuracy required by the shooting method. In the case of a coplanar minimum-time…

最优化与控制 · 数学 2018-02-20 Max Cerf

Low-thrust trajectory design relies heavily on repeated evaluations of fuel consumption and transfer feasibility, which require expensive optimal control solutions. In this work, we show these quantities can be accurately approximated by…

机器学习 · 计算机科学 2026-05-28 Zhong Zhang , Giacomo Acciarini , Dario Izzo , Hexi Baoyin , Francesco Topputo

The optimal cooperative guidance in the nonlinear setting for intercepting a target by multiple pursuers is studied in the paper. As certain relative angles can improve observability, the guidance command is required to cooperatively…

最优化与控制 · 数学 2024-01-17 Han Wang , Zheng Chen
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