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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

We consider the planar circular equilateral restricted four body-problem where a test particle of infinitesimal mass is moving under the gravitational attraction of three primary bodies which move on circular orbits around their common…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

We revisit the three-body problem in quantum mechanics in two and three dimensions, generating both exact eigenvalues and eigenvectors of the Hamiltonian and a series of approximate solutions as calculated with a variety of different…

Let us consider the elliptic restricted three body problem (Elliptic RTBP) for the Jupiter Sun system with eccentricity $e=0.048$ and $\mu=0.000953339$. Let us denote by $T$ the period of their orbits. In this paper we provide initial…

Dynamical Systems · Mathematics 2016-06-07 Oscar M. Perdomo

In the last decades a peculiar family of solutions of the Circular Restricted Three Body Problem has been used to explain the temporary captures of small bodies and spacecrafts by a planet of the Solar System. These solutions, which transit…

Earth and Planetary Astrophysics · Physics 2021-09-01 Rocío Isabel Páez , Massimiliano Guzzo

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

The construction of a space elevator would be an inspiring feat of planetary engineering of immense cost and risk. But would the benefit outweigh the costs and risks? What, precisely, is the purpose for building such a structure? For…

Instrumentation and Methods for Astrophysics · Physics 2020-12-02 Matthew M. Peet

During magnetic reconnection, field lines interconnect in electron diffusion regions (EDRs). In some EDRs the reconnection and energy conversion rates are controlled by a steady out-of-plane electric field. In other EDRs the energy…

It is demonstrated that the development of a nuclear fusion rocket engine based on a D $-$ $^{3}$He (Deterium-Helium 3) technology will allow to travel in the solar system and beyond. The Direct Fusion Drive (DFD) is the D $-$…

Popular Physics · Physics 2021-08-05 Roman Ya. Kezerashvili

Trajectory prediction methods have demonstrated remarkable capabilities in capturing complex motion patterns. However, existing methods rely on global state assumptions, suffer from insufficient belief inference under partial observability,…

Artificial Intelligence · Computer Science 2026-05-26 Yanping Wu , Ji Zhang , Hao Chen , Edmond S. L. Ho , Chongfeng Wei

The Direct Fusion Drive (DFD) is a nuclear fusion engine that will provide thrust and electrical power for any spacecraft. It is a compact engine, based on the D -$^{3}$He aneutronic fusion reaction that uses the Princeton field reversed…

Space Physics · Physics 2020-10-14 Paolo Aime , Marco Gajeri , Roman Ya. Kezerashvili

In finite systems, such as nanoparticles and gas-phase molecules, calculations of minimum energy paths (MEPs) connecting initial and final states of transitions as well as searches for saddle points are complicated by the presence of…

Chemical Physics · Physics 2015-06-09 Marko Melander , Kari Laasonen , Hannes Jonsson

Mission designers must study many dynamical models to plan a low-cost spacecraft trajectory that satisfies mission constraints. They routinely use Poincar\'e maps to search for a suitable path through the interconnected web of periodic…

Chaotic Dynamics · Physics 2020-09-09 Xavier M. Tricoche , Wayne R. Schlei , Kathleen C. Howell

Fusion performance in tokamaks hinges critically on the efficacy of the Edge Transport Barrier (ETB) at suppressing energy losses. The new concept of fingerprints is introduced to identify the instabilities that cause the transport losses…

Entropic dynamics (ED) is a general framework for constructing indeterministic dynamical models based on entropic methods. ED has been used to derive or reconstruct both non-relativistic quantum mechanics and quantum field theory in curved…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Selman Ipek , Ariel Caticha

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

Numerical Analysis · Mathematics 2026-01-06 Robert Altmann , Idoia Cortes Garcia , Elias Paakkunainen , Philipp Schulze , Sebastian Schöps

In the strangeness $S=-2$ sector, we study the $\Xi^{-}nn$ ($I=3/2, J^P={1/2}^+$) three-body system using pionless halo effective field theory (EFT), which provides a systematic model independent framework for assessing the feasibility of…

Nuclear Theory · Physics 2021-04-30 Ghanashyam Meher , Udit Raha

Lyman-$\alpha$ transits provide an opportunity to test models of atmospheric escape directly. However, translating observations into constraints on the properties of the escaping atmosphere is challenging. The major reason for this is that…

Earth and Planetary Astrophysics · Physics 2024-11-01 Ethan Schreyer , James. E. Owen , R. O. Parke Loyd , Ruth Murray-Clay

The problem of minimum-time, low-thrust, Earth-to-Mars interplanetary orbital trajectory optimization is considered. The minimum-time orbital transfer problem is modeled as a four-phase optimal control problem where the four phases…

Optimization and Control · Mathematics 2021-04-08 Brittanny V. Holden , Shan He , Anil V. Rao

A preliminary study of the Energy Production Demonstrator (EPD) concept - a solid heavy metal target irradiated by GeV-range intense proton beams and producing more energy than consuming - is carried out. Neutron production, fission, energy…

Instrumentation and Detectors · Physics 2014-07-18 Vitaly S. Pronskikh , Nikolai Mokhov , Igor Novitski , Sergey I. Tyutyunnikov