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Initial Orbit Determination (IOD) is the classical problem of estimating the orbit of a body in space without any presumed information about the orbit. The geometric formulation of the ''angles-only'' IOD in three-dimensional space: find a…

Algebraic Geometry · Mathematics 2025-09-19 Ruiqi Huang , Anton Leykin , Michela Mancini

We propose a novel framework for approximating the statistical properties of turbulent flows by combining variational methods for the search of unstable periodic orbits with resolvent analysis for dimensionality reduction. Traditional…

Chaotic Dynamics · Physics 2025-01-22 Thomas Burton , Sean Symon , Ati Sharma , Davide Lasagna

Accurate vehicle trajectory prediction is essential for ensuring safety and efficiency in fully autonomous driving systems. While existing methods primarily focus on modeling observed motion patterns and interactions with other vehicles,…

Machine Learning · Computer Science 2025-07-15 Xinyi Ning , Zilin Bian , Dachuan Zuo , Semiha Ergan

With the increase in the number of active satellites and space debris in orbit, the problem of initial orbit determination (IOD) becomes increasingly important, demanding a high accuracy. Over the years, different approaches have been…

Optimization and Control · Mathematics 2024-08-07 Ricardo Ferreira , Filipa Valdeira , Marta Guimarães , Cláudia Soares

Smooth convex minimization over the unit trace-norm ball is an important optimization problem in machine learning, signal processing, statistics and other fields, that underlies many tasks in which one wishes to recover a low-rank matrix…

Optimization and Control · Mathematics 2020-12-01 Dan Garber

This paper presents the development and evaluation of an optimization-based autonomous trajectory planning algorithm for the asteroid reconnaissance phase of a deep-space exploration mission. The reconnaissance phase is a low-altitude flyby…

The abstract is additional with repect to the paper published in JGCD. Ordinary Earth satellites are usually placed into five categories of special orbits: sun-synchronous orbits, orbits at the critical inclination, frozen orbits, repeating…

Earth and Planetary Astrophysics · Physics 2012-12-05 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

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

The traffic in cislunar space is expected to increase over the coming years, leading to a higher likelihood of conjunction events among active satellites, orbital debris, and non-cooperative satellites. This increase necessitates enhanced…

Optimization and Control · Mathematics 2025-07-18 Thomas H. Clareson , Matthew C. Fox , Dominic K. Amato , Hang Woon Lee

Identification of a linear time-invariant dynamical system from partial observations is a fundamental problem in control theory. Particularly challenging are systems exhibiting long-term memory. A natural question is how learn such systems…

Machine Learning · Computer Science 2022-03-08 Holden Lee

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

A major limitation of minimally invasive surgery is the difficulty in accurately locating the internal anatomical structures of the target organ due to the lack of tactile feedback and transparency. Augmented reality (AR) offers a promising…

Robotics · Computer Science 2024-09-19 Jingwei Song , Ray Zhang , Wenwei Zhang , Hao Zhou , Maani Ghaffari

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

Satellite conjunctions involving "near misses" of space objects are becoming increasingly likely. One approach to risk analysis for them involves the computation of the collision probability, but this has been regarded as having some…

Applications · Statistics 2022-03-11 Soumaya Elkantassi , Anthony Davison

Periodic orbits are among the simplest non-equilibrium solutions to dynamical systems, and they play a significant role in our modern understanding of the rich structures observed in many systems. For example, it is known that embedded…

Dynamical Systems · Mathematics 2021-03-18 Jason J. Bramburger , J. Nathan Kutz , Steven L. Brunton

Spacecraft Pose Estimation (SPE) is a fundamental capability for autonomous space operations such as rendezvous, docking, and in-orbit servicing. Hybrid pipelines that combine object detection, keypoint regression, and Perspective-n-Point…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Inder Pal Singh , Nidhal Eddine Chenni , Abd El Rahman Shabayek , Arunkumar Rathinam , Djamila Aouada

This paper addresses the computation of Delta-V-optimal, safe, relative orbit reconfigurations for satellite formations in a centralized fashion. The formations under consideration comprise an uncontrolled chief spacecraft flying with an…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

This paper investigates the stability and stabilization of semilinear single-track vehicle models with distributed tire friction dynamics, modeled as interconnections of ordinary differential equations (ODEs) and hyperbolic partial…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

This paper presents a machine learning approach for tuning the parameters of a family of stabilizing controllers for orbital tracking. An augmented random search algorithm is deployed, which aims at minimizing a cost function combining…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani , Mirko Leomanni , Renato Quartullo

We introduce a new surrogate loss function called orbit loss in the structured prediction framework, which has good theoretical and practical advantages. While the orbit loss is not convex, it has a simple analytical gradient and a simple…

Machine Learning · Computer Science 2015-12-10 Danny Karmon , Joseph Keshet