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This work focuses on the identification of reliable and repeatable spatial (three-dimensional) trajectories that link the Earth and the Moon. For this purpose, this paper aims to extend the 2:1 resonant prograde family and 2:1 resonant…

Earth and Planetary Astrophysics · Physics 2023-05-03 Andrew Binder , David Arnas

The rapid expansion of mega-constellations in low Earth orbits has posed significant challenges to space traffic management, necessitating periodic inspections of satellites to ensure the sustainability of the space environment when…

Systems and Control · Electrical Eng. & Systems 2025-07-08 An-Yi Huang , Hong-Xin Shen , Zhao Li , Cong Sun , Chao Sheng , Zheng-Zhong Kuai

The stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. Here, we analyze and classify different types of spin-orbit evolution in compact multiplanet systems perturbed by an…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are…

Earth and Planetary Astrophysics · Physics 2015-06-24 Nikolaos Georgakarakos , Siegfried Eggl

This paper presents a convex approach to the optimization of a cooperative rendezvous, that is, the problem of two distant spacecraft that simultaneously operate to get closer. Convex programming guarantees convergence towards the optimal…

Optimization and Control · Mathematics 2020-09-02 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo

Interfacial orbital transport remains far less understood than its bulk counterpart despite its central role in orbitronic experiments. Here, we theoretically investigate the transmission and conversion of orbital angular momentum across a…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Chi Sun , Dongwook Go , Yuriy Mokrousov , Jacob Linder , Aurelien Manchon

This paper presents an analytical model for collision probability assessments between de-orbiting or injecting space objects and satellite constellations. Considering the first to be subjected to a continuous tangential acceleration, its…

Instrumentation and Methods for Astrophysics · Physics 2023-05-15 Eduardo Maria Polli , Juan Luis Gonzalo , Camilla Colombo

Although wheeled robots have been predominant for planetary exploration, their geometry limits their capabilities when traveling over steep slopes, through rocky terrains, and in microgravity. Legged robots equipped with grippers are a…

Ensuring safety for spacecraft operations has become a paramount concern due to the proliferation of space debris and the saturation of valuable orbital regimes. In this regard, the Collision Avoidance Manoeuvre (CAM) has emerged as a…

Optimization and Control · Mathematics 2025-03-31 Zeno Pavanello , Luigi De Maria , Andrea De Vittori , Michele Maestrini , Pierluigi Di Lizia , Roberto Armellin

The number of space objects will grow several times in a few years due to the planned launches of constellations of thousands microsatellites. It leads to a significant increase in the threat of satellite collisions. Spacecraft must…

We perform numerical simulations of black-hole binaries to study the exchange of spin and orbital angular momentum during the last, highly nonlinear, stages of the coalescence process. To calculate the transfer of angular momentum from…

Astrophysics · Physics 2009-11-11 M. Campanelli , C. O. Lousto , Y. Zlochower

Transits on single stars are rare. The probability rarely exceeds a few per cent. Furthermore, this probability rapidly approaches zero at increasing orbital period. Therefore transit surveys have been predominantly limited to the inner…

Earth and Planetary Astrophysics · Physics 2015-06-23 David V. Martin , Amaury H. M. J. Triaud

This paper studies the secondary's rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem composed of a spherical primary plus a…

Earth and Planetary Astrophysics · Physics 2020-02-19 Haishuo Wang , Xiyun Hou

Current practice for asteroid close proximity maneuvers requires extremely accurate characterization of the environmental dynamics and precise spacecraft positioning prior to the maneuver. This creates a delay of several months between the…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Brian Gaudet , Richard Linares , Roberto Furfaro

The ESA/NASA joint LISA (laser interferometer space antenna) mission is designed to detect gravitational waves, which relies crucially on maintaining three-spacecraft constellation as close to an equilateral triangle with a designed…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Yaguang Yang

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 post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

Motion of a point mass in gravitational fields of the Sun and of the galactic disk is studied. Fundamental features of the motion are found by investigating the time-averaged differential equations for orbital evolution. Several types of…

Astrophysics · Physics 2007-05-23 Jozef Klacka , Martin Gajdosik

In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

To date, studies of $\textit{Laplace Surface}$ dynamics have concerned themselves with test particle orbits of fixed shape and orientation in the combined field of an oblate central body (to which the particle is bound) and a distant,…

Earth and Planetary Astrophysics · Physics 2021-09-08 Mohammad Farhat , Jihad Touma