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To better understand the orbital dynamics of exoplanets around close binary stars, i.e., circumbinary planets (CBPs), we applied techniques from dynamical systems theory to a physically motivated set of solutions in the Circular Restricted…

Earth and Planetary Astrophysics · Physics 2023-03-08 Andrew Langford , Lauren M. Weiss

The paper revisits a Lyapunov-based feedback control to implement spacecraft orbital transfer maneuvers. The spacecraft equations of motion in the form of Gauss Variational Equations (GVEs) are used. By shaping the Lyapunov function using…

Optimization and Control · Mathematics 2024-07-24 Simone Semeraro , Ilya Kolmanovsky , Emanuele Garone

This paper presents a Nonlinear Model Predictive Control (NMPC) scheme for maintaining a spacecraft within a specified family of periodic orbits near the libration points in cislunar space. Unlike traditional approaches that track a…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Mohammed Atallah , Simone Servadio

In this work, free-space optics-based continuous wireless power transmission between multiple low lunar orbit satellites and a solar panel on the lunar rover located at the lunar south pole are investigated based on the time-varying…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Baris Donmez , Yanni Jiwan-Mercier , Sebastien Loranger , Gunes Karabulut Kurt

The restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries), of which the motion gives us general solutions of the three body problem. A…

Dynamical Systems · Mathematics 2020-12-02 Tere Seara , Jianlu Zhang

The minimum-fuel orbital transfer is analyzed in the case of a launcher upper stage using a constantly thrusting engine. The thrust level is assumed to be constant and its value is optimized together with the thrust direction. A closed-loop…

Optimization and Control · Mathematics 2017-04-05 Max Cerf

The paper considers a linear system of Boltzmann transport equations modelling the evolution of three species of particles, photons, electrons and positrons. The system is coupled because of the collision term (an integral operator). The…

Optimization and Control · Mathematics 2017-02-02 Jouko Tervo , Petri Kokkonen

The Gateway will represent a primary space system useful for the Artemis program, Earth-Moon transportation, and deep space exploration. It is expected to serve as a staging location on the way to the lunar surface. This study focuses on…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

This note discusses an essentially decentralized interior point method, which is well suited for optimization problems arising in energy networks. Advantages of the proposed method are guaranteed and fast local convergence also for problems…

Optimization and Control · Mathematics 2023-07-07 Alexander Engelmann , Michael Kaupmann , Timm Faulwasser

The determination of the abundance of volatiles in extrasolar planets is very important as it can provide constraints on transport in protoplanetary disks and on the formation location of planets. However, constraining the internal…

Earth and Planetary Astrophysics · Physics 2016-06-22 Yann Alibert

The past decade has witnessed a growing interest in lunar exploration missions. The autonomy of lunar surface and in-orbit missions is, however, dependent on accurate and instantaneous navigation services. These services can not be provided…

Signal Processing · Electrical Eng. & Systems 2020-10-20 Filipe Pereira , Daniel Selva

In the first part of this paper, inspired by the geometric method of Jean-Pierre Marec, we consider the two-impulse Hohmann transfer problem between two coplanar circular orbits as a constrained nonlinear programming problem. By using the…

Systems and Control · Computer Science 2018-12-31 Li Xie , Yiqun Zhang , Junyan Xu

The paper considers the application of feedback control to orbital transfer maneuvers subject to constraints on the spacecraft thrust and on avoiding the collision with the primary body. Incremental reference governor (IRG) strategies are…

Optimization and Control · Mathematics 2022-12-21 Simone Semeraro , Ilya Kolmanovsky , Emanuele Garone

This paper presents a comparative study of the applicability and accuracy of optimal control methods and neural network-based estimators in the context of porkchop plots for preliminary asteroid rendezvous mission design. The scenario…

Optimization and Control · Mathematics 2026-02-19 Zhong Zhang , Niccolò Michelotti , Gonçalo Oliveira Pinho , Yilin Zou , Francesco Topputo

For the classical N-body problem, an approach is proposed based on the introduction of some natural in the physical sense optimization problems of mathematical programming for finding a conditional minimum for the characteristics of the…

Dynamical Systems · Mathematics 2023-07-26 Igor Pavlov

Isolating block and isolating neighborhood methods have previously been implemented to find transit trajectories and orbits around libration points in the autonomous circular restricted three-body problem. For some applications, the direct…

Dynamical Systems · Mathematics 2023-08-15 Rodney L. Anderson , Robert W. Easton , Martin W. Lo

In this paper we present a fast method based on successive convexification for generating fuel-optimized spacecraft rendezvous trajectories in the presence of mixed-integer constraints. A recently developed paradigm of state-triggered…

Optimization and Control · Mathematics 2019-06-13 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Behcet Acikmese , Mehran Mesbahi

It is shown that in the planar equal-mass four-body problem, there exist two sets of new action minimizers connecting two planar boundary configurations with fixed symmetry axes and specific order constraints on the four bodies: a double…

Dynamical Systems · Mathematics 2017-10-30 Duokui Yan

Application of traditional indirect optimization methods to optimal control problems (OCPs) with control and state path constraints is not a straightforward task. However, recent advances in regularization techniques and numerical…

Optimization and Control · Mathematics 2019-10-22 Kshitij Mall , Ehsan Taheri

Extremely-Low Lunar Orbits (eLLOs) (altitudes $\leq 50$ km) exhibit severe perturbations due to the highly non-spherical lunar gravitational field, presenting unique challenges to orbit maintenance. These altitudes are too low for the…

Instrumentation and Methods for Astrophysics · Physics 2025-04-29 Jack Yarndley , Martin Lara , Harry Holt , Roberto Armellin