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Related papers: Minimum-Time Earth-to-Mars Interplanetary Orbit Tr…

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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…

Optimization and Control · Mathematics 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

In this paper a direct method based on a transcription by finite elements in time has been used to design optimal interplanetary trajectories, exploiting a combination of gravity assist maneuvers and low-thrust propulsion. A multiphase…

Optimization and Control · Mathematics 2011-05-11 Massimiliano Vasile , Franco Bernelli-Zazzera

Low-thrust orbital transfers are difficult to optimize by indirect methods. The main issues come from the costate guess and from the numerical propagation accuracy required by the shooting method. In the case of a coplanar minimum-time…

Optimization and Control · Mathematics 2018-02-20 Max Cerf

A computational approach is developed for the design of continuous low thrust transfers in the planar circular restricted three-body problem. The transfer design method of invariant manifolds is extended with the addition of continuous low…

Optimization and Control · Mathematics 2015-10-12 Shankar Kulumani , Taeyoung Lee

We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dynamical systems to transport a specified initial measure on…

Dynamical Systems · Mathematics 2017-11-22 Piyush Grover , Karthik Elamvazhuthi

During recent decades, there has been a substantial development in optimal mass transport theory and methods. In this work, we consider multi-marginal problems wherein only partial information of each marginal is available, which is a setup…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Filip Elvander , Isabel Haasler , Andreas Jakobsson , Johan Karlsson

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…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Mads Erlend Bøe Lysø , Esten Ingar Grøtli , Kristin Ytterstad Pettersen

This paper solves and analyzes a trajectory optimization problem to deflect Earth-crossing objects (ECOs) employing continuous thrust obtained using a laser ablative system. The optimal control is determined for various initial ECO-Earth…

Optimization and Control · Mathematics 2025-09-16 Vivek Verma , Shribharath B. , Mangal Kothari

Recent successful lunar landing missions have generated significant interest among space agencies in establishing a permanent human settlement on the Moon. Building a lunar base requires multiple and frequent landing missions to support…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Aditya Rallapalli , Suraj Kumar , Rijesh MP , C K Koteswar Rao , Bharat Kumar GVP

We assess the dynamical feasibility of redirecting small volatile-bearing trans-Neptunian objects (TNOs) onto Mars-impacting orbits using continuous low-thrust propulsion and a single gravity-assist encounter. The study considers two…

Earth and Planetary Astrophysics · Physics 2026-05-22 Ryszard Gabryszewski , Leszek Czechowski , Arkadiusz Hess

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

This contribution focuses on the design of low-energy transfers between planetary moons and presents an efficient technique to compute trajectories characterized by desirable behaviors in the vicinities of the departure and destination…

Chaotic Dynamics · Physics 2023-08-22 David Canales , Kathleen C. Howell , Elena Fantino , Annika J. Gilliam

In this paper we develop a time reversal method for the radiative transport equation to solve two problems: an inverse problem for the recovery of an initial condition from boundary measurements, and the exact boundary controllability of…

Analysis of PDEs · Mathematics 2013-08-06 Sebastian Acosta

In the Earth-Moon system, low-energy orbits are transfer trajectories from the earth to a circumlunar orbit that require less propellant consumption when compared to the traditional methods. In this work we use a Monte Carlo approach to…

Earth and Planetary Astrophysics · Physics 2015-05-30 Roberto Capuzzo-Dolcetta , Marco Giancotti

In this paper, the near-optimal capture problem is numerically investigated to locate the optimal capture points around Charon using the Pluto-Charon planar circular restricted three-body problem (PCRTBP). Capture orbits are divided into…

Earth and Planetary Astrophysics · Physics 2019-04-09 Euaggelos E. Zotos , Yi Qi

This study applies a new approach, the Theory of Functional Connections (TFC), to solve the two-point boundary-value problem (TPBVP) in non-Keplerian orbit transfer. The perturbations considered are drag, solar radiation pressure,…

Earth and Planetary Astrophysics · Physics 2021-02-24 Allan K. de Almeida Junior , Hunter Johnston , Carl Leake , Daniele Mortari

We assess the possibility of reducing the travel time of a crewed mission to Mars by examining four different propulsion methods and keeping the mass at departure under 2500 tonne, for a fixed architecture. We evaluated representative…

Popular Physics · Physics 2023-03-14 A. G. C. Guerra , O. Bertolami , P. J. S. Gil

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

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

As interest in the Earth-Moon transfers renewed around the world, understanding the solution space of transfer trajectories facilitates the construction of transfers. This paper is devoted to reporting a novel or less-reported phenomenon…

Optimization and Control · Mathematics 2025-10-31 Shuyue Fu , Di Wu , Shengping Gong