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This paper presents a convex approach to the optimization of a cooperative rendezvous, that is, the problem of two distant spacecraft that simultaneously operate to get closer. Convex programming guarantees convergence towards the optimal…

Optimization and Control · Mathematics 2020-09-02 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo

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…

Instrumentation and Methods for Astrophysics · Physics 2016-03-09 Fanghua Jiang , Gao Tang

In this paper we present a fast method based on successive convexification for generating fuel-optimized spacecraft rendezvous trajectories in the presence of mixed-integer constraints. A recently developed paradigm of state-triggered…

Optimization and Control · Mathematics 2019-06-13 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Behcet Acikmese , Mehran Mesbahi

This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

Optimization and Control · Mathematics 2021-07-16 Danylo Malyuta , Behcet Acikmese

A robust drift-safe rendezvous trajectory optimization tool is developed in this work, with applications to orbital rendezvous and proximity operations. The method is based on direct collocation and utilizes a sequential convex programming…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Andrew W. Berning , Ethan R. Burnett , Stefan Bieniawski

A new approach is presented for the problem of optimal impulsive rendezvous of a spacecraft in an inertial frame near a circular orbit in a Newtonian gravitational field. The total characteristic velocity to be minimized is replaced by a…

Space Physics · Physics 2015-06-12 Thomas Carter , Mayer Humi

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…

Instrumentation and Methods for Astrophysics · Physics 2023-05-03 An-yi Huang , Heng-nian Li

The paper provides a new approach to utilizing space environmental forces in time- and energy-optimal, propellant-less spacecraft rendezvous missions. Considering the nonlinear form of the relative dynamic equations, rendezvous missions are…

Space Physics · Physics 2023-03-30 Mohamed Shouman , Ahmed Atallah , Mohammad S. Ramadan

We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set of significantly slower seeking agents. The unknown target…

Optimization and Control · Mathematics 2026-04-03 Thomas A. Scott , Lukas Taus , Yen-Hsi Richard Tsai , Tan Bui-Thanh , Justin G. R. Delva

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

The optimization of fuel-optimal low-thrust collision avoidance maneuvers (CAMs) in scenarios involving multiple encounters between spacecraft is addressed. The optimization's objective is the minimization of the total fuel consumption…

Optimization and Control · Mathematics 2024-06-07 Zeno Pavanello , Laura Pirovano , Roberto Armellin , Andrea De Vittori , Pierluigi Di Lizia

Conjunction analysis and maneuver planning for spacecraft collision avoidance remains a manual and time-consuming process, typically involving repeated forward simulations of hand-designed maneuvers. With the growing density of satellites…

Robotics · Computer Science 2025-10-23 Fausto Vega , Jon Arrizabalaga , Ryan Watson , Zachary Manchester

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…

Space Physics · Physics 2019-09-19 Zhibo E , Davide Guzzetti

Due to the complexity and inconstancy of the space environment, accurate mathematical models for spacecraft rendezvous are difficult to obtain, which consequently complicates the control tasks. In this paper, a linearized time-variant plant…

Systems and Control · Computer Science 2016-01-05 Neng Wan , Weiran Yao

This work presents a sequential convex program method to compute fuel-optimal collision avoidance maneuvers for long-term encounters. The low-thrust acceleration model is used to account for the control, but the method can compute…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Zeno Pavanello , Laura Pirovano , Roberto Armellin

The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures…

Numerical Analysis · Mathematics 2025-11-19 Jean-Philippe Chancelier , Pierre Carpentier , Guy Cohen , Thierry Dargent , Richard Epenoy

As the orbital environment around Earth becomes increasingly crowded with debris, active debris removal (ADR) missions face significant challenges in ensuring safe operations while minimizing the risk of in-orbit collisions. This study…

Artificial Intelligence · Computer Science 2026-02-06 Agni Bandyopadhyay , Gunther Waxenegger-Wilfing

Preliminary mission design requires an efficient and accurate approximation to the low-thrust rendezvous trajectories, which might be generally three-dimensional and involve multiple revolutions. In this paper, a new shaping method using…

Robotics · Computer Science 2022-03-02 Di Wu , Tongxin Zhang , Yuan Zhong , Fanghua Jiang , Junfeng Li

Spacecraft rendezvous enables on-orbit servicing, debris removal, and crewed docking, forming the foundation for a scalable space economy. Designing such missions requires rapid exploration of the tradespace between control cost and flight…

Optimization and Control · Mathematics 2026-01-13 Yuji Takubo , Daniele Gammelli , Marco Pavone , Simone D'Amico

Future multi-spacecraft missions require robust autonomous trajectory optimization capabilities to ensure safe and efficient rendezvous operations. This capability hinges on solving non-convex optimal control problems in real-time, although…

Optimization and Control · Mathematics 2025-01-28 Yuji Takubo , Tommaso Guffanti , Daniele Gammelli , Marco Pavone , Simone D'Amico
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