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Transverse linearization-based approaches have become among the most prominent methods for orbitally stabilizing feedback design in regards to (periodic) motions of underactuated mechanical systems. Yet, in an $n$-dimensional state-space,…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Christian Fredrik Sætre , Anton Shiriaev , Stepan Pchelkin , Ahmed Chemori

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

In Cislunar space, spacecraft are able to exploit naturally periodic orbits, which provide operational reliability. However, these periodic orbits only exist in a limited volume. Enabled by low-thrust propulsion, spacecraft can produce a…

Dynamical Systems · Mathematics 2025-02-10 Colby C. Merrill , Jackson Kulik , Matthew J. Bryan , Dmitry Savransky

The regimes of possible global atmospheric circulation patterns in an Earth-like atmosphere are explored using a simplified GCM based on the University of Hamburg's Portable University Model for the Atmosphere with simplified (linear)…

Earth and Planetary Astrophysics · Physics 2019-06-19 Yixiong Wang , Peter Read , Fachreddin Tabataba-Vakili , Roland Young

In this study, a method for predicting unsteady aerodynamic forces under different initial conditions using a limited number of samples based on transfer learning is proposed, aiming to avoid the need for large-scale high-fidelity…

Fluid Dynamics · Physics 2024-05-27 Wen Ji , Xueyuan Sun , Chunna Li , Xuyi Jia , Gang Wang , Chunlin Gong

While the Pontryagin Maximum Principle can be used to calculate candidate extremals for optimal orbital transfer problems, these candidates cannot be guaranteed to be at least locally optimal unless sufficient optimality conditions are…

Optimization and Control · Mathematics 2016-06-08 Zheng Chen

This article gives an introduction to optimal transport, a mathematical theory that makes it possible to measure distances between functions (or distances between more general objects), to interpolate between objects or to enforce…

Analysis of PDEs · Mathematics 2017-10-10 Bruno Levy , Erica Schwindt

We design optimal trajectories to transport cold atoms in anharmonic traps, combining invariant-based inverse engineering, perturbation theory, and optimal control theory. The anharmonic perturbation energy is minimized constraining the…

Quantum Physics · Physics 2016-08-06 Qi Zhang , J. G. Muga , D. Guéry-Odelin , Xi Chen

Designing optimal trajectories for multi-flyby asteroid missions is scientifically critical but technically challenging due to nonlinear dynamics, intermediate constraints, and numerous local optima. This paper establishes a method that…

Optimization and Control · Mathematics 2025-08-06 Zhong Zhang , Xiang Guo , Di Wu , Hexi Baoyin , Junfeng Li , Francesco Topputo

This paper proposes an algorithm which can be used in hybrid Coulomb spacecraft formations to minimize propellant by maximizing the amount of force that is generated by Coulomb forces. This problem is difficult due to the nonlinearities…

Optimization and Control · Mathematics 2022-07-14 Adam M Tahir

The force exerted on nanoparticles and atomic clusters by fast passing electrons like those employed in transmission electron microscopes are calculated and integrated over time to yield the momentum transferred from the electrons to the…

Atomic and Molecular Clusters · Physics 2007-08-08 F. J. Garcia de Abajo

The force exerted on nanoparticles and atomic clusters by fast passing electrons like those employed in transmission electron microscopes are calculated and integrated over time to yield the momentum transferred from the electrons to the…

Other Condensed Matter · Physics 2009-11-13 F. J. Garcia de Abajo

Sliced optimal transport reduces optimal transport on multi-dimensional domains to transport on the line. More precisely, sliced optimal transport is the concatenation of the well-known Radon transform and the cumulative density transform,…

Numerical Analysis · Mathematics 2024-07-03 Michael Quellmalz , Robert Beinert , Gabriele Steidl

Illumination of a two-dimensional system by a twisted light beam is considered in order to find specific effects caused by twisting. Direct interband transitions between the valence and conduction bands are supposed. The generation rates of…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 L. S. Braginsky , M. M. Mahmoodian , L. I. Magarill , M. V. Entin

The aim of this note is to compare the averaged optimal coplanar transfer towards circular orbits when the costs are the transfer time transfer and the energy consumption. While the energy case leads to analyze a 2D Riemannian metric using…

Optimization and Control · Mathematics 2015-08-25 Bernard Bonnard , Helen Henninger , Jana Nemcova , Jean-Baptiste Pomet

In the design of multitarget interplanetary missions, there are always many options available, making it often impractical to optimize in detail each transfer trajectory in a preliminary search phase. Fast and accurate estimation methods…

Optimization and Control · Mathematics 2020-01-08 Haiyang Li , Shiyu Chen , Dario Izzo , Hexi Baoyin

Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem…

Quantum Physics · Physics 2025-02-21 L. V. Lokutsievskiy , A. N. Pechen , M. I. Zelikin

Generating low-thrust transfer trajectories between Earth and the Near Rectilinear Halo Orbit (NRHO), that is selected for NASA's Gateway, can be challenging due to the low control authority available from the propulsion system and the…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nicholas P. Nurre , Ehsan Taheri

Trapped, laser-cooled rubidium atoms are transferred between two strongly focused, horizontal, orthogonally intersecting laser beams. The transfer efficiency is studied as a function of the vertical distance between the beam axes. Optimum…

The short--time self diffusion coefficient of a sphere in a suspension of rigid rods is calculated in first order in the rod volume fraction. For low rod concentrations the correction to the Einstein diffusion constant of the sphere is a…

Soft Condensed Matter · Physics 2008-12-03 J. Guzowski , B. Cichocki , E. Wajnryb , G. C. Abade
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