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Related papers: Galileo disposal strategy: stability, chaos and pr…

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The end-of-life disposal of Galileo satellites is needed to avoid collisions with operational spacecraft and to prevent the generation of space debris. Either disposal in stable graveyard orbits or disposal into the atmosphere exploiting…

Earth and Planetary Astrophysics · Physics 2019-12-03 David J. Gondelach , Roberto Armellin , Alexander Wittig

The Medium Earth Orbit (MEO) region hosts satellites for navigation, communication, and geodetic/space environmental science, among which are the Global Navigation Satellites Systems (GNSS). Safe and efficient removal of debris from MEO is…

Earth and Planetary Astrophysics · Physics 2019-04-12 Despoina K. Skoulidou , Aaron J. Rosengren , Kleomenis Tsiganis , George Voyatzis

It has long been suspected that the Global Navigation Satellite Systems exist in a background of complex resonances and chaotic motion; yet, the precise dynamical character of these phenomena remains elusive. Recent studies have shown that…

Earth and Planetary Astrophysics · Physics 2016-01-20 Jerome Daquin , Aaron J. Rosengren , Florent Deleflie , Elisa Maria Alessi , Giovanni B. Valsecchi , Alessandro Rossi

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

In this paper we provide an extensive analysis of the global dynamics of high-area-to-mass ratios geosynchronous (GEO) space debris, applying a recent technique developed by Cincotta et al. (2000), Mean Exponential Growth factor of Nearby…

Astrophysics · Physics 2012-01-11 S. Valk , N. Delsate , A. Lemaitre , T. Carletti

We consider Earth satellite orbits in the range of semi-major axes where the perturbing effects of Earth's oblateness and lunisolar gravity are of comparable order. This range covers the medium-Earth orbits (MEO) of the Global Navigation…

Earth and Planetary Astrophysics · Physics 2016-10-26 Ioannis Gkolias , Jerome Daquin , Fabien Gachet , Aaron J. Rosengren

In recent years, LEO satellite constellations have become envisioned as a core component of the next-generation wireless communication networks. The successive establishment of mega satellite constellations has triggered further demands for…

Networking and Internet Architecture · Computer Science 2023-12-27 Ruibo Wang , Mustafa A. Kishk , Mohamed-Slim Alouini

Numerical simulations carried out over the past decade suggest that the orbits of the Global Navigation Satellite Systems are unstable, resulting in an apparent chaotic growth of the eccentricity. Here we show that the irregular and…

Earth and Planetary Astrophysics · Physics 2015-06-24 Aaron J. Rosengren , Elisa Maria Alessi , Alessandro Rossi , Giovanni B. Valsecchi

In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough…

Earth and Planetary Astrophysics · Physics 2019-05-07 Ioannis Gkolias , Camilla Colombo

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

The long-term dynamics of the geostationary Earth orbits (GEO) is revisited through the application of canonical perturbation theory. We consider a Hamiltonian model accounting for all major perturbations: geopotential at order and degree…

Earth and Planetary Astrophysics · Physics 2017-01-02 Fabien Gachet , Alessandra Celletti , Giuseppe Pucacco , Christos Efthymiopoulos

In practice, low Earth orbit (LEO) and medium Earth orbit (MEO) satellite networks consist of multiple orbits which are populated with many satellites. A widely used spatial architecture for LEO or MEO satellites is the Walker…

Information Theory · Computer Science 2025-08-04 Chang-Sik Choi , Francois Baccelli

With the rapid expansion of low Earth orbit (LEO) constellations, thousands of satellites are now in operation, many equipped with onboard GNSS receivers capable of continuous orbit determination and time synchronization. This development…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Xing Liu , Xue Xian Zheng , José A. López-Salcedo , Tareq Y. Al-Naffouri , Gonzalo Seco-Granados

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

Earth and Planetary Astrophysics · Physics 2017-02-10 Kyriaki I. Antoniadou

This work proposes an adaptation of the Facility Location Problem for the optimal placement of on-orbit servicing depots for satellite constellations in high-altitude orbit. The high-altitude regime, such as Medium Earth Orbit (MEO), is a…

Systems and Control · Electrical Eng. & Systems 2024-04-01 Yuri Shimane , Nick Gollins , Koki Ho

We aim to provide satellite operators and researchers with an efficient means for evaluating and mitigating collision risk during the design process of mega-constellations. We first establish a baseline for evaluating various techniques for…

Earth and Planetary Astrophysics · Physics 2021-05-12 Nathan Reiland , Aaron J. Rosengren , Renu Malhotra , Claudio Bombardelli

In this paper, the routing in massive low earth orbit (LEO) satellite networks is studied. When the satellite-to-satellite communication distance is limited, we choose different relay satellites to minimize the latency in a constellation at…

Networking and Internet Architecture · Computer Science 2022-04-11 Ruibo Wang , Mustafa A. Kishk , Mohamed-Slim Alouini

Existing analyses of ergodic capacity in satellite mega-constellations often rely on restrictive serving time assumptions or become intractable under realistic handover strategies. This paper develops a framework for characterising the…

Information Theory · Computer Science 2026-05-14 Brendon McBain , Yi Hong , Emanuele Viterbo

We apply the MEGNO (Mean Exponential Growth of Nearby Orbits) technique to the dynamics of Jovian irregular satellites. We demonstrate the efficiency of applying the MEGNO indicator to generate a mapping of relevant phase-space regions…

Earth and Planetary Astrophysics · Physics 2015-05-13 Tobias C. Hinse , Apostolos A. Christou , Jose L. A. Alvarellos

We have carried out a numerical investigation of the coupled gravitational and non-gravitational perturbations acting on Earth satellite orbits in an extensive grid, covering the whole circumterrestrial space, using an appropriately…

Earth and Planetary Astrophysics · Physics 2019-04-12 Aaron J. Rosengren , Despoina K. Skoulidou , Kleomenis Tsiganis , George Voyatzis
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