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Space mission design places a premium on cost and operational efficiency. The search for new science and life beyond Earth calls for spacecraft that can deliver scientific payloads to geologically rich yet hazardous landing sites. At the…

Optimization and Control · Mathematics 2021-08-25 Danylo Malyuta , Yue Yu , Purnanand Elango , Behcet Acikmese

This paper presents an analysis of optimal impact strategies to deflect potentially dangerous asteroids. To compute the increase in the minimum orbit intersection distance of the asteroid due to an impact with a spacecraft, simple…

Optimization and Control · Mathematics 2011-05-02 Massimiliano Vasile , Camilla Colombo

In trajectory design, fuel consumption and trajectory reachability are two key performance indicators for low-thrust missions. This paper proposes general-purpose pretrained neural networks to predict these metrics. The contributions of…

Machine Learning · Computer Science 2025-08-06 Zhong Zhang , Francesco Topputo

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

Estimating the probability of collision between spacecraft is crucial for risk management and collision-avoidance strategies. Current methods often rely on Gaussian assumptions and simplifications, which can be inaccurate in highly…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Théo Verhelst , Giacomo Acciarini , Dario Izzo , Francesco Biscani

Model Predictive Static Programming (MPSP) was always used under the assumption of continuous control, which impedes it for applications with bang-off-bang control directly. In this paper, MPSP is employed for the first time as a guidance…

Optimization and Control · Mathematics 2020-08-26 Yang Wang , Francesco Topputo

A significant challenge in manipulation motion planning is to ensure agility in the face of unpredictable changes during task execution. This requires the identification and possible modification of suitable joint-space trajectories, since…

Robotics · Computer Science 2020-05-05 Filip Marić , Oliver Limoyo , Luka Petrović , Trevor Ablett , Ivan Petrović , Jonathan Kelly

We introduce a modeling framework for manipulation planning based on the formulation of the dynamics as a projected dynamical system. This method uses implicit signed distance functions and their gradients to formulate an equivalent…

Optimization and Control · Mathematics 2025-01-22 Anton Pozharskiy , Armin Nurkanović , Moritz Diehl

In this paper, we develop a computationally-efficient approach to minimum-time trajectory optimization using input-output data-based models, to produce an end-to-end data-to-control solution to time-optimal planning/control of dynamic…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Nan Li , Ehsan Taheri , Ilya Kolmanovsky , Dimitar Filev

Successive convex programming (SCP) is a powerful class of direct optimization methods, known for its polynomial complexity and computational efficiency, making it particularly suitable for autonomous applications. Direct methods are also…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Saeid Tafazzol , Ehsan Taheri

An efficient approach to compute near time-optimal trajectories for linear kinematic systems with oscillatory internal dynamics is presented. Thereby, kinematic constraints with respect to velocity, acceleration and jerk are taken into…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Thomas Auer , Frank Woittennek

This study presents a fast nonlinear programming algorithm for low-thrust multi-asteroid rendezvous missions. The core contribution is the derivation of analytical formulations for both first- and second-order gradients of low-thrust…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 An-Yi Huang , Ya-Zhong Luo

The growing interest in the cislunar domain over the past decade has led to an increasing demand for low-thrust missions to key orbits within this region. These low-thrust missions, typically characterized by long thrust arcs, are highly…

Numerical Analysis · Mathematics 2025-03-10 Amlan Sinha , Ryne Beeson

We assess the possibility of reducing the travel time of a crewed mission to Mars by examining four different propulsion methods and keeping the mass at departure under 2500 tonne, for a fixed architecture. We evaluated representative…

Popular Physics · Physics 2023-03-14 A. G. C. Guerra , O. Bertolami , P. J. S. Gil

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

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

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

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

We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dynamical systems to transport a specified initial measure on…

Dynamical Systems · Mathematics 2017-11-22 Piyush Grover , Karthik Elamvazhuthi

How important are gravitational and relativistic effects for interstellar travel? We consider this question in the context of proposed laser-propelled spacecraft missions to neighboring stellar destinations. Our analysis applies to any…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Mark C. Baumann , Justin C. Feng , Nicky Ishaak
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