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Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point $L_1$, located between the Sun and the Earth. We show that…

Dynamical Systems · Mathematics 2025-09-25 Amadeu Delshams , Marian Gidea , Pablo Roldan

We numerically calculate the energy and momentum transfer rates due to Coulomb scattering between two fluids moving with a relative velocity. The results are fitted by simple functions. The fitting formulae are useful to simulate outflows…

Astrophysics · Physics 2009-11-11 Katsuaki Asano , Shizuo Iwamoto , Fumio Takahara

This paper proposes a systematic method for generating practical and robust low-thrust spacecraft trajectories. One contribution is to consider the change in mass of the spacecraft at two levels: a) the propulsive acceleration and b) the…

Optimization and Control · Mathematics 2026-02-03 Meysam Babapour , Ehsan Taheri

We describe phenomenologically well-known effects in close binary systems. The uniform precession of an elliptical orbit is described by the adding of an inverse cube to an inverse square of the distance. If the precession is small, then…

General Physics · Physics 2010-05-24 A. V. Serghienko

Space missions that use low-thrust propulsion technology are becoming increasingly popular since they utilize propellant more efficiently and thus reduce mission costs. However, optimizing continuous-thrust trajectories is complex,…

Optimization and Control · Mathematics 2024-01-31 Madhusudan Vijayakumar , Ossama Abdelkhalik

Nonequilibrium physics encompasses a broad range of natural and synthetic small-scale systems. Optimizing transitions of such systems will be crucial for the development of nanoscale technologies and may reveal the physical principles…

Statistical Mechanics · Physics 2015-09-23 Patrick R. Zulkowski , Michael R. DeWeese

This paper presents $N$-body and stochastic models that describe the motion of tracer particles in a potential that contains a large population of extended substructures. Fluctuations of the gravitational field induce a random walk of…

Astrophysics of Galaxies · Physics 2019-10-16 Jorge Peñarrubia

The N\'eel order of an antiferromagnet subject to a spin torque can undergo precession in a circular orbit about any chosen axis. To orient and stabilize the motion against the effects of magnetic anisotropy, the spin polarization should…

Applied Physics · Physics 2021-02-03 Arun Parthasarathy , Egecan Cogulu , Andrew D. Kent , Shaloo Rakheja

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

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

Recent findings on retrograde co-orbital mean-motion resonances in the Earth-Moon system, highlight the potential use of spacecraft in retrograde resonances. Based on these discoveries, this study investigates retrograde co-orbital…

Earth and Planetary Astrophysics · Physics 2025-04-16 G. A. Carita , M. H. M. Morais , S. Aljbaae , A. F. B. A. Prado

Transferring the state of a quantum system to a given distribution of populations is an important problem with applications to Quantum Chemistry and Atomic Physics. In this work we consider exact population transfers that minimize the L^2…

Quantum Physics · Physics 2007-05-23 Symeon Grivopoulos , Bassam Bamieh

Aims: We determine the components of the $\Lambda$-effect tensor that quantifies the contributions to the turbulent momentum transport even for uniform rotation. Methods: Three-dimensional numerical simulations are used to study turbulent…

Astrophysics · Physics 2008-08-22 P. J. Käpylä , A. Brandenburg

Twelve pulsed gamma-T quads have been installed in the Booster to provide fast transition crossing. The less time the beam stays in the non-adiabatic period near transition, the less the longitudinal emittance grows. From the past…

Accelerator Physics · Physics 2007-05-23 Xi Yang , Charles M. Ankenbrandt , James MacLachlan

The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minimum distance between orbital paths in the presence of…

Earth and Planetary Astrophysics · Physics 2024-10-29 Ana S. Rivero , Giulio Baù , Rafael Vazquez , Claudio Bombardelli

A minimum-time reorientation of an axisymmetric rigid spacecraft controlled by three torques is studied. The orientation of the body is modeled such that the attitude kinematics are representative of a spin-stabilized spacecraft. The…

Optimization and Control · Mathematics 2022-03-23 Elisha R. Pager , Anil V. Rao

We present an optimal control procedure for the non-adiabatic transport of ultracold neutral thermal atoms in optical tweezers arranged in a one-dimensional array, with focus on reaching minimal transfer time. The particle dynamics are…

Quantum Physics · Physics 2025-12-22 Omar Morandi , Sara Nicoletti , Vladislav Gavryusev , Leonardo Fallani

We reassess the concept of transition at minimum work in classical stochastic finite-time thermodynamics, when the system dynamics is modelled by a diffusion process. We show that a well-posed formulation of the optimal control problem…

Statistical Mechanics · Physics 2026-03-13 Paolo Muratore-Ginanneschi , Julia Sanders

A method for asteroid deflection that makes use of a spacecraft moving back and forth on a segment of a Keplerian orbit about the asteroid is studied with the aim of optimizing the initial gross mass of the spacecraft. The corresponding…

Earth and Planetary Astrophysics · Physics 2021-10-12 Yohannes Ketema

Thermodynamics of small systems has become an important field of statistical physics. They are driven out of equilibrium by a control, and the question is naturally posed how such a control can be optimized. We show that optimization…

Statistical Mechanics · Physics 2011-09-08 Erik Aurell , Carlos Mejia-Monasterio , Paolo Muratore-Ginanneschi
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