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A method is presented to solve a stochastic, nonlinear optimal control problem representative of spacecraft trajectory design under uncertainty. The problem is reformulated as a chance constrained nonlinear program, or what is known as a…

最优化与控制 · 数学 2024-01-05 William Fife , Pradipto Ghosh , Kyle DeMars

This article solves an optimal control problem arising in attitude control of a spacecraft under state and control constraints. We first derive the discrete-time attitude dynamics by employing discrete mechanics. The orientation transfer,…

系统与控制 · 计算机科学 2017-11-27 Karmvir Singh Phogat , Debasish Chatterjee , Ravi Banavar

In this work, we investigate trajectories that require thrust to maintain periodic structure in the circular restricted three-body problem (CR3BP). We produce bounds in position and velocity space for the energy-constrained reachable set of…

动力系统 · 数学 2024-11-19 Colby C. Merrill , Jackson Kulik , Dmitry Savransky

This paper presents a strategy for optimal manoeuvre design of multi-satellite formation flying in low Earth orbit environment, with the aim of providing a tool for mission operation design. The proposed methodology for formation flying…

天体物理仪器与方法 · 物理学 2022-02-09 Francesca Scala , Gabriella Gaias , Camilla Colombo , Manuel Martìn-Neira

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

统计力学 · 物理学 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

This work aims to automate the design of Multiple Gravity-Assist (MGA) transfers between planets using low-thrust propulsion. In particular, during the preliminary design phase of space missions, the combinatorial complexity of MGA…

最优化与控制 · 数学 2025-10-17 Sean Cowan , Ron Noomen

Understanding the complex patterns in space-time exhibited by active systems has been the subject of much interest in recent times. Complementing this forward problem is the inverse problem of controlling active matter. Here we use optimal…

软凝聚态物质 · 物理学 2022-10-12 Suraj Shankar , Vidya Raju , L. Mahadevan

A prerequisite for the formation of stars and planetary systems is that angular momentum is transported in some way from the inner regions of the accretion disc. Tidal effects may play an important part in this angular momentum transport.…

天体物理学 · 物理学 2009-11-10 S. Pfalzner

We solve the minimum-thrust optimal trajectory generation problem for the transition of a tiltwing Vertical Take-Off and Landing (VTOL) aircraft using convex optimisation. The method is based on a change of differential operator that allows…

最优化与控制 · 数学 2021-09-30 Martin Doff-Sotta , Mark Cannon , Marko Bacic

Using a quantum fluid model, a set of three paraxial coupled equations to describe the FEL instability is derived. These equations are solved numerically considering Laguerre-Gaussian modes as the initial conditions to study the transfer of…

等离子体物理 · 物理学 2018-01-17 J. A. Arteaga , A. Serbeto , J. T. Mendonça , K. H. Tsui , L. F. Monteiro

Spacecraft operations are influenced by uncertainties such as dynamics modeling, navigation, and maneuver execution errors. Although mission design has traditionally incorporated heuristic safety margins to mitigate the effect of…

最优化与控制 · 数学 2025-06-10 Naoya Kumagai , Kenshiro Oguri

Low-energy transfers are advantageous for lunar exploration missions due to low fuel consumption and extended launch periods. This paper is devoted to the classification of interior transit orbits and their application on low-energy…

地球与行星天体物理 · 物理学 2025-04-01 Shuyue Fu , Di Wu , Shengping Gong

In this paper, we improve upon a method for optimal control of quadrupedal robots which utilizes a full-order model of the system. The original method utilizes offline nonlinear optimal control to synthesize a control scheme which…

系统与控制 · 电气工程与系统科学 2024-04-08 Mads Erlend Bøe Lysø , Esten Ingar Grøtli , Kristin Ytterstad Pettersen

Orbits in triaxial ellipsoidal potentials precess about either the major or minor axis of the ellipsoid. In standard perturbation theory it can be shown that a circular orbit will precess about the minor axis if its angular momentum vector…

天体物理学 · 物理学 2015-06-24 P. A. Thomas , S. Vine , F. R. Pearce

In this paper, the L1-minimization for the translational motion of a spacecraft in a circular restricted three-body problem (CRTBP) is considered. Necessary con- ditions are derived by using the Pontryagin Maximum Principle, revealing the…

最优化与控制 · 数学 2016-06-22 Zheng Chen

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

最优化与控制 · 数学 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

We derive the covariant optimality conditions for rocket trajectories in general relativity, with and without a bound on the magnitude of the proper acceleration. The resulting theory is then applied to solve two specific problems: the…

广义相对论与量子宇宙学 · 物理学 2012-07-16 Pedro G. Henriques , Jose Natario

Minimum-fuel low-thrust trajectories typically consist of a finite, yet unknown number of switches in the thrust magnitude profile. This optimality-driven characteristic of minimum-fuel trajectories poses a challenge to the numerical…

最优化与控制 · 数学 2024-09-04 Saeid Tafazzol , Ehsan Taheri , Nan Li

Transferring a physical system from an initial to a final state while minimizing energetic losses is an interdisciplinary control problem that bridges stochastic thermodynamics and optimal transport theory. Recent research typically…

统计力学 · 物理学 2026-02-23 Jann van der Meer , Andreas Dechant

We describe a mechanism for transport of energy in a mechanical system consisting of a pendulum and a rotator subject to a random perturbation. The perturbation that we consider is the product of a Hamiltonian vector field and a scalar,…

动力系统 · 数学 2024-09-06 Anna Maria Cherubini , Marian Gidea