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Long time-duration low-thrust nonlinear optimal spacecraft trajectory global search is a computationally and time expensive problem characterized by clustering patterns in locally optimal solutions. During preliminary mission design,…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Jannik Graebner , Ryne Beeson

We present a novel empirical method for correcting asteroid phase curves for rotational and geometrical effects using precomputed spin-and-shape models. Our approach normalizes sparse photometric data to a pole-on geometry, enabling…

Earth and Planetary Astrophysics · Physics 2025-11-21 Dagmara Oszkiewicz. Przemysław Bartczak , Milagros Colazo , Antti Penttilä

We propose a novel B-spline trajectory optimization method for autonomous racing. We consider the unavailability of sophisticated race car and race track dynamics in early-stage autonomous motorsports development and derive methods that…

Robotics · Computer Science 2023-09-19 Haoru Xue , Tianwei Yue , John M. Dolan

Near-Earth Objects (NEOs) are attractive exploration targets due to their accessibility, scientific value, and resources. Although trajectory design has revealed efficient pathways to these bodies, systematic strategies for Earth-NEO…

Earth and Planetary Astrophysics · Physics 2026-03-31 Alessandro Beolchi , Mauro Pontani , Kathleen Howell , Chiara Pozzi , Sean Swei , Elena Fantino

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

For aerial swarms, navigation in a prescribed formation is widely practiced in various scenarios. However, the associated planning strategies typically lack the capability of avoiding obstacles in cluttered environments. To address this…

Robotics · Computer Science 2022-04-22 Lun Quan , Longji Yin , Chao Xu , Fei Gao

Aerodynamic shape optimization has many industrial applications. Existing methods, however, are so computationally demanding that typical engineering practices are to either simply try a limited number of hand-designed shapes or restrict…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 Pierre Baqué , Edoardo Remelli , François Fleuret , Pascal Fua

Agile attitude maneuvering maximizes the utility of remote sensing satellite constellations. By taking into account a satellite's physical properties and its actuator specifications, we may leverage the full performance potential of the…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Emmanuel Sin , Sreeja Nag , Vinay Ravindra , Alan Li , Murat Arcak

Many robotics applications, from object manipulation to locomotion, require planning methods that are capable of handling the dynamics of contact. Trajectory optimization has been shown to be a viable approach that can be made to support…

Robotics · Computer Science 2019-09-09 Benoit Landry , Joseph Lorenzetti , Zachary Manchester , Marco Pavone

Joint space trajectory optimization under end-effector task constraints leads to a challenging non-convex problem. Thus, a real-time adaptation of prior computed trajectories to perturbation in task constraints often becomes intractable.…

We propose the Particle Swarm Optimization (PSO) as an alternative method for locating periodic orbits in a three--dimensional (3D) model of barred galaxies. We develop an appropriate scheme that transforms the problem of finding periodic…

Astrophysics · Physics 2009-11-10 Ch. Skokos , K. E. Parsopoulos , P. A. Patsis , M. N. Vrahatis

The numerical simulation of realistic reactive flows is a major challenge due to the stiffness and high dimension of the corresponding kinetic differential equations. Manifold-based model reduction techniques address this problem by…

Dynamical Systems · Mathematics 2026-01-06 Jörn Dietrich , Dirk Lebiedz

We present a non-conforming least squares method for approximating solutions of second order elliptic problems with discontinuous coefficients. The method is based on a general Saddle Point Least Squares (SPLS) method introduced in previous…

Numerical Analysis · Mathematics 2019-04-01 Constantin Bacuta , Jacob Jacavage

Given the spline representation of the boundary of a three dimensional domain, constructing a volumetric spline parameterization of the domain (i.e., a map from a unit cube to the domain) with the given boundary is a fundamental problem in…

Graphics · Computer Science 2020-01-08 Maodong Pan , Falai Chen , Weihua Tong

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…

Optimization and Control · Mathematics 2014-12-09 Hantian Zhang , Dong Eui Chang , Qingjie Cao

This paper focuses on spatial time-optimal motion planning, a generalization of the exact time-optimal path following problem that allows the system to plan within a predefined space. In contrast to state-of-the-art methods, we drop the…

Robotics · Computer Science 2023-07-18 Jon Arrizabalaga , Markus Ryll

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

In this paper, we study spline trajectory generation via the solution of two optimisation problems: (i) a quadratic program (QP) with linear equality constraints and (ii) a nonlinear and nonconvex optimisation program. We propose an…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Declan Burke , Airlie Chapman , Iman Shames

This paper introduces a novel numerical approach to achieving smooth lane-change trajectories in autonomous driving scenarios. Our trajectory generation approach leverages particle swarm optimization (PSO) techniques, incorporating Neural…

Robotics · Computer Science 2024-02-05 Lin Song , David Isele , Naira Hovakimyan , Sangjae Bae

A new shape-based geometric method (SBGM) is proposed for generation of multi-impulse transfer trajectories between arbitrary coplanar oblique orbits via a heuristic algorithm. The key advantage of the proposed SBGM includes a significant…

Optimization and Control · Mathematics 2019-05-14 Amir Shakouri , Maryam Kiani , Seid H. Pourtakdoust