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Related papers: Minimum-Time Earth-to-Mars Interplanetary Orbit Tr…

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The performance of time-independent, orbital optimized calculations of excited states is assessed with respect to charge transfer excitations in organic molecules in comparison to the linear-response time-dependent density functional theory…

Chemical Physics · Physics 2024-05-22 Elli Selenius , Alec Elías Sigurdarson , Yorick L. A. Schmerwitz , Gianluca Levi

A small variation of the circular shape of the hodograph theorem states that for every elliptical solution of the two-body problem, it is possible to find an appropriate inertial frame such that the speed of the bodies is constant. We use…

Earth and Planetary Astrophysics · Physics 2021-09-27 Carman Cater , Oscar Perdomo , Amanda Valentine

This work originates from a heart's images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed segmented. Given two images p0 and p1, we…

Classical Analysis and ODEs · Mathematics 2010-09-20 Olivier Besson , Martine Picq , Jérôme Pousin

A vast wealth of literature exists on the topic of rocket trajectory optimisation, particularly in the area of interplanetary trajectories due to its relevance today. Studies on optimising interstellar and intergalactic trajectories are…

Space Physics · Physics 2017-02-02 Kenneth K H Fung , Geraint F Lewis , Xiaofeng Wu

Reachability analysis plays a central role in low-thrust spacecraft trajectory optimization by identifying which target states can be achieved under constraints on time, thrust, and propellant. Classical approaches construct reachable sets…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Giacomo Acciarini , Dario Izzo , Zhong Zhang

In this work, we propose a search-based planning method to compute dynamically feasible trajectories for a quadrotor flying in an obstacle-cluttered environment. Our approach searches for smooth, minimum-time trajectories by exploring the…

Robotics · Computer Science 2017-09-19 Sikang Liu , Nikolay Atanasov , Kartik Mohta , Vijay Kumar

It is attempted to obtain the masses of the celestial bodies, the initial conditions of their motion, and the constant of gravitation, by a global parameter optimization. First, a numerical solution of the N-bodies problem for mass points…

Astrophysics · Physics 2007-05-23 Mayeul Arminjon

In this work, we develop a numerically tractable trajectory optimization problem for rest-to-rest attitude transfers with CMG-driven spacecraft. First, we adapt a specialized dynamical model which avoids many of the numerical challenges…

Optimization and Control · Mathematics 2022-11-07 Thomas L. Dearing , John Hauser , Christopher Petersen , Marco M. Nicotra , Xudong Chen

This paper develops a sequential convex programming approach for Mars entry trajectory planning by range discretization. To improve the accuracy of numerical integration, the range of entry trajectory is selected as the independent variable…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Xu Liu , Shuang Li , Ming Xin

We study a more complex case of Hohmann orbital transfer of a satellite by considering non-coplanar and elliptical orbits, instead of planar and circular orbits. We use as parameter the angle between the initial and transference planes that…

Earth and Planetary Astrophysics · Physics 2015-09-21 Angel Rincon , Patricio Rojo , Elvis Lacruz , Gabriel Abellan , Sttiwuer Diaz

We propose a reachability approach for infinite and finite horizon multi-objective optimization problems for low-thrust spacecraft trajectory design. The main advantage of the proposed method is that the Pareto front can be efficiently…

Optimization and Control · Mathematics 2022-02-21 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

A bi-level optimal control framework is introduced to solve the low-thrust re-phasing problem on quasi-periodic invariant tori in multi-body environments where deviations away from the torus during maneuver are considered unsafe or…

Chaotic Dynamics · Physics 2025-11-03 Ian M. Down , Manoranjan Majji , Kathleen C. Howell

Optimizing the energy efficiency of driving processes provides valuable insights into the underlying physics and is of crucial importance for numerous applications, from biological processes to the design of machines and robots. Knowledge…

Soft Condensed Matter · Physics 2024-04-02 Sarah A. M. Loos , Samuel Monter , Felix Ginot , Clemens Bechinger

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

Numerical Analysis · Mathematics 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

In nominal mission scenarios, geostationary satellites perform end-of-life orbit maneuvers to reach suitable disposal orbits, where they do not interfere with operational satellites. This research investigates the long-term orbit evolution…

Earth and Planetary Astrophysics · Physics 2021-04-06 Simone Proietti , Roberto Flores , Elena Fantino , Mauro Pontani

Low-thrust trajectory design relies heavily on repeated evaluations of fuel consumption and transfer feasibility, which require expensive optimal control solutions. In this work, we show these quantities can be accurately approximated by…

Machine Learning · Computer Science 2026-05-28 Zhong Zhang , Giacomo Acciarini , Dario Izzo , Hexi Baoyin , Francesco Topputo

The next generation of Mars rotorcrafts requires on-board autonomous hazard avoidance landing. To this end, this work proposes a system that performs continuous multi-resolution height map reconstruction and safe landing spot detection.…

Robotics · Computer Science 2022-05-10 Pedro F. Proença , Jeff Delaune , Roland Brockers

In this paper, the repeat-groundtrack orbit maintenance problem is addressed for spacecraft driven by electric propulsion. An adaptive solution is proposed, which combines an hysteresis controller and a recursive least squares filter. The…

Systems and Control · Computer Science 2021-01-22 Mirko Leomanni , Andrea Garulli , Antonio Giannitrapani , Fabrizio Scortecci

In robotic planetary surface exploration, strategic mobility planning is an important task that involves finding candidate long-distance routes on orbital maps and identifying segments with uncertain traversability. Then, expert human…

Robotics · Computer Science 2026-05-08 Olivier Lamarre , Jonathan Kelly

Optimal control is often used in robotics for planning a trajectory to achieve some desired behavior, as expressed by the cost function. Most works in optimal control focus on finding a single optimal trajectory, which is then typically…

Robotics · Computer Science 2021-08-24 Teguh Santoso Lembono , Sylvain Calinon