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Approaching a tumbling target safely is a critical challenge in space debris removal missions utilizing robotic manipulators onboard servicing satellites. In this work, we propose a trajectory planning method based on nonlinear optimization…

Robotics · Computer Science 2025-12-29 Kenta Iizuka , Akiyoshi Uchida , Kentaro Uno , Kazuya Yoshida

Robust data association is critical for analysis of long-term motion trajectories in complex scenes. In its absence, trajectory precision suffers due to periods of kinematic ambiguity degrading the quality of follow-on analysis. Common…

Machine Learning · Computer Science 2020-11-17 David S. Hayden , Sue Zheng , John W. Fisher

This paper presents an algorithm for the preprocessing of observation data aimed at improving the robustness of orbit determination tools. Two objectives are fulfilled: obtain a refined solution to the initial orbit determination problem…

Numerical Analysis · Mathematics 2023-11-07 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

This paper describes a method for scheduling the events of a switched system to achieve an optimal performance. The approach has guarantees on convergence and computational complexity that parallel derivative-based iterative optimization…

Optimization and Control · Mathematics 2017-09-11 Timothy Caldwell , Todd Murphey

To guarantee the safety of flight operations, decision-support systems for air traffic control must be able to improve the usage of airspace capacity and handle increasing demand. In this study, we address the aircraft conflict avoidance…

Optimization and Control · Mathematics 2022-03-24 Fernando H. C. Dias , David Rey

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

In this paper, we introduce the new optimal perturbation iteration method based on the perturbation iteration algorithms for the approximate solutions of nonlinear differential equations of many types. The proposed method is illustrated by…

Numerical Analysis · Mathematics 2016-09-21 Sinan Deniz , Necdet Bildik

Multi-revolution low-thrust trajectory optimization problems are important and challenging in space mission design. In this paper, an efficient, accurate, and widely applicable pseudospectral method is proposed to solve multi-revolution…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Yilin Zou , Fanghua Jiang

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

Accurate relative orbit determination is a significant challenge in modern space operations, particularly when relying only on angular measurements. The inherent observability limitations of this approach make initial state estimation…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Kui Xie , Giovanni Romagnoli , Giordana Bucchioni , Alberto Bemporad

We present an efficient method for fast, complete, and accurate detection of unstable periodic orbits in chaotic systems. Our method consists of a new iterative scheme and an effective technique for selecting initial points. The iterative…

chao-dyn · Physics 2009-10-31 Ruslan L. Davidchack , Ying-Cheng Lai

This paper proposes an iterative methodology to integrate large-scale behavioral activity-based models with dynamic traffic assignment models. The main novelty of the proposed approach is the decoupling of the two parts, allowing the…

Computers and Society · Computer Science 2024-04-12 Serio Agriesti , Claudio Roncoli , Bat-hen Nahmias-Biran

An analytical method for investigation of the evolution of dynamical systems {\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application…

Instrumentation and Methods for Astrophysics · Physics 2016-12-13 A. V. Gurzadyan , A. A. Kocharyan

Optimizing space vehicle routing is crucial for critical applications such as on-orbit servicing, constellation deployment, and space debris de-orbiting. Multi-target Rendezvous presents a significant challenge in this domain. This problem…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Antonio López Rivera , Lucrezia Marcovaldi , Jesús Ramírez , Alex Cuenca , David Bermejo

In this study, an interplanetary space flight mission design is established to obtain the minimum \(\Delta V\) required for a rendezvous and sample return mission from an asteroid. Given the initial (observed) conditions of an asteroid, a…

Instrumentation and Methods for Astrophysics · Physics 2015-08-20 Sean Fritz , Kamran Turkoglu

We compare the divergence of orbits and the reversibility error for discrete time dynamical systems. These two quantities are used to explore the behavior of the global error induced by round off in the computation of orbits. The similarity…

Dynamical Systems · Mathematics 2012-11-15 Davide Faranda , Martin Federico Mestre , Giorgio Turchetti

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

Optimization and Control · Mathematics 2026-03-17 Ethan Foss , Simone D'Amico

Performing highly agile acrobatic motions with a long flight phase requires perfect timing, high accuracy, and coordination of the full-body motion. To address these challenges, we present a novel approach on timings and trajectory…

Robotics · Computer Science 2022-08-25 Chuong Nguyen , Quan Nguyen

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