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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

In this paper, we study efficient beam coverage design for multi-antenna systems in both far-field and near-field cases. To reduce the computational complexity of existing sampling-based optimization methods, we propose a new low-complexity…

Information Theory · Computer Science 2026-02-06 Chao Zhou , Changsheng You , Cong Zhou , Li Chen , Yi Gong , Chengwen Xing

This paper presents a novel neighboring extremal approach to establish the neighboring optimal guidance (NOG) strategy for fixed-time low-thrust multi-burn orbital transfer problems. Unlike the classical variational methods which define and…

Optimization and Control · Mathematics 2016-02-11 Zheng Chen

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

The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

Artificial Intelligence · Computer Science 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

The ability of Multiple-Input Multiple-Output (MIMO) radar systems to adapt waveforms across antennas allows flexibility in the transmit beampattern design. In cognitive radar, a popular cost function is to minimize the deviation against an…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Khaled Alhujaili , Vishal Monga , Muralidhar Rangaswamy

The current lunar exploration, particularly the regular large-scale cargo transportation in the Earth-Moon system proposes requirements for amount of low-energy lunar transfers. The conventional grid-search method to construct low-energy…

Earth and Planetary Astrophysics · Physics 2026-03-12 Shuyue Fu , Di Wu , Xiaowen Liu , Peng Shi , Shengping Gong

Despite the huge number of research into the three-body problem in physics and mathematics, the study of this problem still remains relevant both from the point of view of its broad application and taking into account its fundamental…

Mathematical Physics · Physics 2024-10-08 A. S. Gevorkyan , A. V. Bogdanov , V. V. Mareev

We present an efficient transcription method for highly oscillatory optimal control problems. For these problems, the optimal state trajectory consists of fast oscillations that change slowly over the time horizon. Out of a large number of…

Optimization and Control · Mathematics 2022-05-19 Jakob Harzer , Jochem De Schutter , Moritz Diehl

The Circular Restricted Three-Body Problem (CR3BP) models the motion of a massless body under the gravitational influence of two primaries. We present a method for approximating a given family of periodic orbits by low-degree implicit…

Algebraic Geometry · Mathematics 2026-04-30 Ruiqi Huang , Anton Leykin

An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final state under certain control restrictions is proposed. The…

Optimization and Control · Mathematics 2017-03-01 Alexander N. Kvitko , Oksana S. Firyulina , Alexey S. Eremin

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

This paper presents a trajectory optimization and control approach for the guidance of an orbital four-arm robot in extravehicular activities. The robot operates near the target spacecraft, enabling its arm's end-effectors to reach the…

In this contribution, the optimal stabilization problem of periodic orbits is studied via invariant manifold theory and symplectic geometry. The stable manifold theory for the optimal point stabilization case is generalized to the case of…

Optimization and Control · Mathematics 2026-02-02 Fabian Beck , Noboru Sakamoto

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically…

Machine Learning · Computer Science 2021-04-13 Samuel Gerber , Mauro Maggioni

This paper investigates the use of Reinforcement Learning for the robust design of low-thrust interplanetary trajectories in presence of severe disturbances, modeled alternatively as Gaussian additive process noise, observation noise,…

Machine Learning · Computer Science 2020-08-20 Alessandro Zavoli , Lorenzo Federici

Mobile manipulator throwing is a promising method to increase the flexibility and efficiency of dynamic manipulation in factories. Its major challenge is to efficiently plan a feasible throw under a wide set of task specifications. We show…

Robotics · Computer Science 2022-08-05 Yang Liu , Aradhana Nayak , Aude Billard

The halo orbits of the spatial circular restricted three-body problem are largely considered in space-flight dynamics to design low-energy transfers between celestial bodies. A very efficient analytical method for the computation of halo…

Earth and Planetary Astrophysics · Physics 2022-08-17 Rocio Isabel Paez , Massimiliano Guzzo

This paper develops a robust angles-only IROD method based on polynomial optimization for arbitrary nonlinear dynamics. First, the relative motion is approximated by high-order Taylor polynomials within the differential algebra framework,…

Instrumentation and Methods for Astrophysics · Physics 2026-04-28 Xingyu Zhou , Malcolm Macdonald , Roberto Armellin , Dong Qiao , Xiangyu Li

Quantum many-body control is among most challenging problems in quantum science, due to computational complexity of related underlying problems. We propose an efficient approach for solving a class of control problems for many-body quantum…

Quantum Physics · Physics 2024-02-21 I. A. Luchnikov , M. A. Gavreev , A. K. Fedorov