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Related papers: Simplified Optimization Model for Low-Thrust Pertu…

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In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

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…

Optimization and Control · Mathematics 2017-04-05 Max Cerf

This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $\Delta V$ transfers between periodic orbits, including…

Space Physics · Physics 2024-05-30 Flavio Tagliaferri , Emmanuel Blazquez , Giacomo Acciarini , Dario Izzo

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

This paper proposes a nonlinear guidance algorithm for fuel-optimal impulsive trajectories for rendezvous operations close to a reference orbit. The approach involves overparameterized monomial coordinates and a high-order approximation of…

Optimization and Control · Mathematics 2026-01-12 Omar Regantini , Ethan R. Burnett , Antonio Rizza , Alessandro Morselli , Francesco Topputo

This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programming (SDP). This is done by relaxing an optimal control…

Optimization and Control · Mathematics 2011-10-18 Mathieu Claeys , Denis Arzelier , Didier Henrion , Jean-Bernard Lasserre

Reliable and efficient trajectory optimization methods are a fundamental need for autonomous dynamical systems, effectively enabling applications including rocket landing, hypersonic reentry, spacecraft rendezvous, and docking. Within such…

Robotics · Computer Science 2024-01-09 Tommaso Guffanti , Daniele Gammelli , Simone D'Amico , Marco Pavone

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…

Optimization and Control · Mathematics 2015-10-12 Shankar Kulumani , Taeyoung Lee

Low-thrust trajectory design and in-flight control remain two of the most challenging topics for new-generation satellite operations. Most of the solutions currently implemented are based on reference trajectories and lead to sub-optimal…

Machine Learning · Computer Science 2022-11-16 Carlos M. Casas , Belen Carro , Antonio Sanchez-Esguevillas

The optimal transport problem has many applications in machine learning, physics, biology, economics, etc. Although its goal is very clear and mathematically well-defined, finding its optimal solution can be challenging for large datasets…

Numerical Analysis · Mathematics 2021-12-14 Roozbeh Yousefzadeh

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…

Optimization and Control · Mathematics 2018-02-20 Max Cerf

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…

Systems and Control · Electrical Eng. & Systems 2022-12-15 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

This paper investigates the use of Reinforcement Learning for the robust design of low-thrust interplanetary trajectories in presence of severe disturbances, modeled alternatively as Gaussian additive process noise, observation noise,…

Machine Learning · Computer Science 2020-08-20 Alessandro Zavoli , Lorenzo Federici

The Gateway will represent a primary space system useful for the Artemis program, Earth-Moon transportation, and deep space exploration. It is expected to serve as a staging location on the way to the lunar surface. This study focuses on…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

A novel trajectory design methodology is proposed in the current work to minimize the state uncertainty in the crucial mission of spacecraft rendezvous. The trajectory is shaped under constraints utilizing a multiple-impulse approach. State…

Optimization and Control · Mathematics 2018-12-03 Amir Shakouri , Maryam Kiani , Seid H. Pourtakdoust

The collision avoidance constraints are prominent as non-convex, non-differentiable, and challenging when defined in optimization-based motion planning problems. To overcome these issues, this paper presents a novel non-conservative…

Robotics · Computer Science 2024-04-16 Siavash Tavana , Sepideh Faghihi , Anton de Ruiter , Krishna Dev Kumar

The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minimum distance between orbital paths in the presence of…

Earth and Planetary Astrophysics · Physics 2024-10-29 Ana S. Rivero , Giulio Baù , Rafael Vazquez , Claudio Bombardelli

The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is…

Optimization and Control · Mathematics 2025-09-19 Yuri Shimane , Purnanand Elango , Avishai Weiss

Trajectory planning for mobile robots in cluttered environments remains a major challenge due to narrow passages, where conventional methods often fail or generate suboptimal paths. To address this issue, we propose the adaptive trajectory…

Robotics · Computer Science 2025-10-31 Hahjin Lee , Young J. Kim

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