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Recent works demonstrated that the dynamics caused by the planetary oblateness coupled with the solar radiation pressure can be described through a model based on singly-averaged equations of motion. The coupled perturbations affect the…

Earth and Planetary Astrophysics · Physics 2020-11-24 Ioannis Gkolias , Elisa Maria Alessi , Camilla Colombo

The nearby space surrounding the Earth is densely populated by artificial satellites and instruments, whose orbits are distributed within the Low-Earth-Orbit region (LEO), ranging between 90 and 2 000 $km$ of altitude. As a consequence of…

Earth and Planetary Astrophysics · Physics 2017-10-10 Alessandra Celletti , Cătălin Galeş

We study the dynamics of the space debris in regions corresponding to minor resonances; precisely, we consider the resonances 3:1, 3:2, 4:1, 4:3, 5:1, 5:2, 5:3, 5:4, where a j:l resonance (with j, l integers) means that the periods of…

Mathematical Physics · Physics 2015-08-06 Alessandra Celletti , Catalin Gales

We analyze the combined effect of Poynting-Robertson and solar wind drag on space debris. We derive a model within Cartesian, Gaussian and Hamiltonian frameworks. We focus on the geosynchronous resonance, although the results can be easily…

Earth and Planetary Astrophysics · Physics 2016-06-01 Christoph Lhotka , Alessandra Celletti , Catalin Gales

Orbital debris is a pressing problem which presents a danger to global space operations and a barrier to continued development of the space economy and space infrastructure. As research continues regarding orbital debris, there is a need…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Asaad S. Abdul-Hamid , Hao Chen

Space debris is a major threat to the satellite infrastructure. A collision with even small particle, e.g. 1 cm of size, can cause a catastrophic event when the parent body, spacecraft or upper stage, will break up into hundreds of…

Earth and Planetary Astrophysics · Physics 2020-12-24 Jiri Silha

The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role in space debris is played by lunisolar secular resonances,…

Earth and Planetary Astrophysics · Physics 2016-07-14 Alessandra Celletti , Catalin Gales

Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites, as well as the evolution of small bodies…

chao-dyn · Physics 2009-10-22 Renu Malhotra

Space debris larger than 1 cm can damage space instruments and impact Earth. The low-Earth orbits (at heights smaller than 2000 km) and orbits near the geostationary- Earth orbit (at 35786 km height) are especially endangered, because most…

Earth and Planetary Astrophysics · Physics 2020-06-10 Judit Slíz-Balogh , Dániel Horváth , Róbert Szabó , Gábor Horváth

We study the presence of resonances in the region of space around the Earth. We consider a massless body (e.g, a dust particle or a small space debris) subject to different forces: the gravitational attraction of the geopotential, the…

Earth and Planetary Astrophysics · Physics 2020-02-19 Alessandra Celletti , Catalin Gales , Christoph Lhotka

We study the dynamics of the space debris in the 1:1 and 2:1 resonances, where geosynchronous and GPS satellites are located. By using Hamiltonian formalism, we consider a model including the geopotential contribution for which we compute…

Dynamical Systems · Mathematics 2015-06-22 Alessandra Celletti , Catalin Gales

Space debris, also known as "space junk," presents a significant challenge for all space exploration activities, including those involving human-onboard spacecraft such as SpaceX's Crew Dragon and the International Space Station. The amount…

Instrumentation and Methods for Astrophysics · Physics 2023-04-13 Mohammad Bigdeli , Rajat Srivastava , Michele Scaraggi

The navigation satellite constellations in medium-Earth orbit exist in a background of third-body secular resonances stemming from the perturbing gravitational effects of the Moon and the Sun. The resulting chaotic motions, emanating from…

Earth and Planetary Astrophysics · Physics 2017-03-07 J. Daquin , A. J. Rosengren , K. Tsiganis

We study the chaotic orbital evolution of planetary systems, focusing on secular (i.e., orbit-averaged) interactions, because these often dominate on long timescales. We first focus on the evolution of a test particle that is forced by…

Earth and Planetary Astrophysics · Physics 2015-05-20 Yoram Lithwick , Yanqin Wu

Comprehensive analysis of space debris rotational dynamics is vital for active debris removal missions that require physical capture or de-tumbling of a target. We study the attitude motion of used rocket bodies acknowledgedly belonging to…

Space Physics · Physics 2018-10-10 Sergey Efimov , Dmitry Pritykin , Vladislav Sidorenko

The equations governing motion of the satellite under the effect of oblateness of Earth and atmospheric drag have been simulated, for a fixed initial position and three different initial velocities, till satellite collapses on Earth.…

Space Physics · Physics 2020-01-30 Jaita Sharma , B. S. Ratanpal , U. M. Pirzada , Vishant Shah

We investigate the dynamics of satellites and space debris in external resonances, namely in the region outside the geostationary ring. Precisely, we focus on the 1:2, 1:3, 2:3 resonances, which are located at about 66 931.4 km, 87 705.0…

Earth and Planetary Astrophysics · Physics 2015-07-15 Alessandra Celletti , Catalin Gales

Using bifurcation theory, we study the secular resonances induced by the Sun and Moon on space debris orbits around the Earth. In particular, we concentrate on a special class of secular resonances, which depend only on the debris' orbital…

Earth and Planetary Astrophysics · Physics 2016-07-29 Alessandra Celletti , Cătălin Galeş , Giuseppe Pucacco

This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this study is on their behavior, their linear stability, and…

Dynamical Systems · Mathematics 2025-10-28 Adrián P. Bustamante , Alessandra Celletti , Christoph Lhotka

The presence of debris in Earth's orbit poses a significant risk to human activity in outer space. This debris population continues to grow due to ground launches, loss of external parts from space ships, and uncontrollable collisions…

Earth and Planetary Astrophysics · Physics 2023-01-11 John Jurkiewicz , Peter Hinow
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