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Recent studies have shown that the medium-Earth orbit (MEO) region of the Global Navigation Satellite Systems is permeated by a devious network of lunisolar secular resonances, which can interact to produce chaotic and diffusive motions.…

Earth and Planetary Astrophysics · Physics 2015-12-21 Aaron J. Rosengren , Jerome Daquin , Elisa Maria Alessi , Florent Deleflie , Alessandro Rossi , Giovanni B. Valsecchi

The paper presents a re-entry analysis of Geosynchronous Orbit (GSO) satellites on disposal trajectories that enhance the effects of the Earth oblateness and lunisolar perturbations. These types of trajectories can lead to a natural…

Earth and Planetary Astrophysics · Physics 2021-10-12 Mirko Trisolini , Camilla Colombo

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

We use finite-time Lyapunov exponent (FTLE) distributions to probe transition mechanisms in high-dimensional reservoir maps trained on low-dimensional chaotic dynamics across multiple regimes. While trained reservoirs accurately predict…

Chaotic Dynamics · Physics 2026-04-28 Dishant Sisodia , Sarika Jalan

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 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

The growth of the population of space debris in the geostationary ring and the resulting threat to active satellites require insight into the dynamics of uncontrolled objects in the region. A Monte Carlo simulation analyzed the sensitivity…

Earth and Planetary Astrophysics · Physics 2023-09-21 Roberto Flores , Mauro Pontani , Elena Fantino

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 increasing volume of space objects in Earth's orbit presents a significant challenge for Space Situational Awareness (SSA). And in particular, accurate orbit prediction is crucial to anticipate the position and velocity of space…

Machine Learning · Computer Science 2024-09-24 Francisco Caldas , Cláudia Soares

The utilisation of the Very Low Earth Orbit (VLEO) region offers significant application specific, technological, operational, and cost benefits. However, attaining sustained and economically viable VLEO flight is challenging, primarily due…

Fluid Dynamics · Physics 2022-10-19 Franziska Hild , Constantin Traub , Marcel Pfeiffer , Julian Beyer , Stefanos Fasoulas

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

We investigate finite-time Lyapunov exponents (FTLEs), a measure for exponential separation of input perturbations, of deep neural networks within the framework of continuous-depth neural ODEs. We demonstrate that FTLEs are powerful…

Dynamical Systems · Mathematics 2026-02-11 Tobias Wöhrer , Christian Kuehn

The Nice model of the dynamical instability and migration of the giant planets can explain many properties of the present Solar System, and can be used to constrain its early architecture. In the jumping-Jupiter version of the Nice model,…

Earth and Planetary Astrophysics · Physics 2015-06-19 R. Deienno , D. Nesvorny , D. Vokrouhlicky , T. Yokoyama

The vast majority of the orbital population today is unobservable and untracked because of their small size. These lethal non-trackable objects will only become more numerous as more payloads and debris are launched into orbit and increase…

Earth and Planetary Astrophysics · Physics 2024-08-28 Daniel Jang , Richard Linares

In the last few years, the so-called flyby anomaly has been widely discussed, but remains still an illusive topic. This is due to the harsh conditions experienced during an Earth flyby as well as due to the limited data available. In this…

General Relativity and Quantum Cosmology · Physics 2011-09-14 O. Bertolami , F. Francisco , P. J. S. Gil , J. Páramos

The number of resident space objects is rising at an alarming rate. Mega-constellations and breakup events are proliferating in most orbital regimes, and safe navigation is becoming increasingly problematic. It is important to be able to…

Instrumentation and Methods for Astrophysics · Physics 2025-04-11 Yannick Sztamfater Garcia , Joaquin Miguez , Manuel Sanjurjo-Rivo

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

A robust drift-safe rendezvous trajectory optimization tool is developed in this work, with applications to orbital rendezvous and proximity operations. The method is based on direct collocation and utilizes a sequential convex programming…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Andrew W. Berning , Ethan R. Burnett , Stefan Bieniawski

The proliferation of space debris in LEO has become a major concern for the space industry. With the growing interest in space exploration, the prediction of potential collisions between objects in orbit has become a crucial issue. It is…

Earth and Planetary Astrophysics · Physics 2024-12-11 Ricardo Ferreira , Cláudia Soares , Marta Guimarães

Low Earth Orbit (LEO) satellite mega-constellations aim to enable high-speed Internet for numerous users anywhere on Earth. To safeguard their network infrastructure in congested outer space, they perform automatic orbital maneuvers to…

Networking and Internet Architecture · Computer Science 2024-06-11 Yimei Chen , Yuanjie Li , Hewu Li , Lixin Liu , Li Ouyang , Jiabo Yang , Junyi Li , Jianping Wu , Qian Wu , Jun Liu , Zeqi Lai
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