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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…

Dynamical Systems · Mathematics 2024-11-19 Colby C. Merrill , Jackson Kulik , Dmitry Savransky

The proposal of increasingly complex and innovative space endeavours poses growing demands for mission designers. In order to meet the established requirements and constraints while maintaining a low fuel cost, the use of low-energy…

Earth and Planetary Astrophysics · Physics 2020-06-09 Rita Neves

We present a general analytic framework to assess whether impact ejecta launched from the surface of a satellite can escape the gravitational influence of the planet--satellite system and enter heliocentric orbit. Using a patched-conic…

Earth and Planetary Astrophysics · Physics 2025-10-10 Jose Daniel Castro-Cisneros , Renu Malhotra , Aaron J. Rosengren

Escape trajectories from the Earth-Moon system play an important role in interplanetary transfer. This paper focuses on the escape trajectories from a 167 km circular Earth orbit in the Earth-Moon planar circular three-body problem and the…

Earth and Planetary Astrophysics · Physics 2026-02-17 Shuyue Fu , Di Wu , Shengping Gong , Peng Shi

Near-Earth Objects (NEOs) are attractive exploration targets due to their accessibility, scientific value, and resources. Although trajectory design has revealed efficient pathways to these bodies, systematic strategies for Earth-NEO…

Earth and Planetary Astrophysics · Physics 2026-03-31 Alessandro Beolchi , Mauro Pontani , Kathleen Howell , Chiara Pozzi , Sean Swei , Elena Fantino

For low-energy missions to the Moon and beyond, Ballistic Capture has proven to be a valuable technique for enabling orbital insertion while alleviating propulsion system requirements. This approach offers two key advantages. First, it…

Numerical Analysis · Mathematics 2025-06-12 Lorenzo Anoè , Roberto Armellin , Gregory Lantoine , Claudio Bombardelli

Dynamical structures in the circular restricted three-body problem (CR3BP) are fundamental for designing low-energy transfers, as they aid in analyzing phase space transport and designing desirable trajectories. One of these dynamical…

Chaotic Dynamics · Physics 2026-05-14 Naoki Hiraiwa , Mai Bando , Yuzuru Sato , Shinji Hokamoto

This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $\Delta V$ transfers between periodic orbits, including…

Space Physics · Physics 2024-05-30 Flavio Tagliaferri , Emmanuel Blazquez , Giacomo Acciarini , Dario Izzo

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

Escape from a potential well can occur in different physical systems, such as capsize of ships, resonance transitions in celestial mechanics, and dynamic snap-through of arches and shells, as well as molecular reconfigurations in chemical…

Chaotic Dynamics · Physics 2019-11-05 Jun Zhong , Shane D. Ross

In Cislunar space, spacecraft are able to exploit naturally periodic orbits, which provide operational reliability. However, these periodic orbits only exist in a limited volume. Enabled by low-thrust propulsion, spacecraft can produce a…

Dynamical Systems · Mathematics 2025-02-10 Colby C. Merrill , Jackson Kulik , Matthew J. Bryan , Dmitry Savransky

Entropic Dynamics (ED) is a framework in which Quantum Mechanics is derived as an application of entropic methods of inference. In ED the dynamics of the probability distribution is driven by entropy subject to constraints that are codified…

Quantum Physics · Physics 2019-09-27 Ariel Caticha

Escape from a potential well through an index-1 saddle can be widely found in some important physical systems. Knowing the criteria and phase space geometry that govern escape events plays an important role in making use of such phenomenon,…

Chaotic Dynamics · Physics 2026-02-24 Jun Zhong , Shane D. Ross

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

The usefulness of the three-body mechanism of $\eta$-meson production is tested by extending to high energies a recently developed two step model of the $p d \to ^3$He $\eta$ reaction by us, which was successful in reproducing the energy…

Nuclear Theory · Physics 2009-11-10 K. P. Khemchandani , N. G. Kelkar , B. K. Jain

The equations of gas dynamics are extensively used to describe atmospheric loss from solar system bodies and exoplanets even though the boundary conditions at infinity are not uniquely defined. Using molecular-kinetic simulations that…

Earth and Planetary Astrophysics · Physics 2015-06-15 Robert E. Johnson , Alexey N. Volkov , Justin T. Erwin

Thermally-driven atmospheric escape evolves from an organized outflow (hydrodynamic escape) to escape on a molecule by molecules basis (Jeans escape) with increasing Jeans parameter, the ratio of the gravitational to thermal energy of…

Earth and Planetary Astrophysics · Physics 2015-05-20 Alexey N. Volkov , Robert E. Johnson , Orenthal J. Tucker , Justin T. Erwin

Effective locomotion in nature happens by transitioning across multiple modes (e.g., walk, run, climb). Despite this, far more mechanistic understanding of terrestrial locomotion has been on how to generate and stabilize around…

Biological Physics · Physics 2025-09-22 Ratan Othayoth , George Thoms , Chen Li

The problem of minimizing the transfer time between periodic orbits in the Earth-Moon elliptic restricted three-body problem using a multi-mode propulsion system is considered. By employing the true anomaly on the primary orbit as the…

Optimization and Control · Mathematics 2025-09-10 George V. Haman , Anil V. Rao

Gas planets in close proximity to their host stars experience photoevaporative mass loss. The energy-limited escape concept is generally used to derive estimates for the planetary mass-loss rates. Our photoionization hydrodynamics…

Earth and Planetary Astrophysics · Physics 2015-12-23 M. Salz , P. C. Schneider , S. Czesla , J. H. M. M. Schmitt
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