Dynamical models and the onset of chaos in space debris
| Autor: | Cătălin Galeş, Giuseppe Pucacco, Fabien Gachet, Christos Efthymiopoulos, Alessandra Celletti |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Geopotential
010504 meteorology & atmospheric sciences FOS: Physical sciences Dynamical Systems (math.DS) 01 natural sciences Resonance law.invention Gravitation law 0103 physical sciences FOS: Mathematics Cartesian coordinate system Mathematics - Dynamical Systems 010303 astronomy & astrophysics Settore MAT/07 - Fisica Matematica Mathematical Physics 0105 earth and related environmental sciences Physics Earth and Planetary Astrophysics (astro-ph.EP) Mathematical model Applied Mathematics Mechanical Engineering Equations of motion Mechanics Mathematical Physics (math-ph) Debris Chaos Space debris Classical mechanics Radiation pressure 13. Climate action Mechanics of Materials Physics::Space Physics Astrophysics::Earth and Planetary Astrophysics 70F15 37N05 34C60 Astrophysics - Earth and Planetary Astrophysics |
| Popis: | The increasing threat raised by space debris led to the development of different mathematical models and approaches to investigate the dynamics of small particles orbiting around the Earth. Such models and methods strongly depend on the altitude of the objects above Earth's surface, since the strength of the different forces acting on an Earth orbiting object (geopotential, atmospheric drag, lunar and solar attractions, solar radiation pressure, etc.) varies with the altitude of the debris. In this review, our focus is on presenting different analytical and numerical approaches employed in modern studies of the space debris problem. We start by considering a model including the geopotential, solar and lunar gravitational forces and the solar radiation pressure. We summarize the equations of motion using different formalisms: Cartesian coordinates, Hamiltonian formulation using Delaunay and epicyclic variables, Milankovitch elements. Some of these methods lead in a straightforward way to the analysis of resonant motions. In particular, we review results found recently about the dynamics near tesseral, secular and semi-secular resonances. As an application of the above methods, we proceed to analyze a timely subject namely the possible causes for the onset of chaos in space debris dynamics. Precisely, we discuss the phenomenon of overlapping of resonances, the effect of a large area-to-mass ratio, the influence of lunisolar secular resonances. We conclude with a short discussion about the effect of the dissipation due to the atmospheric drag and we provide a list of minor effects, which could influence the dynamics of space debris. Comment: 39 pages, 4 figures |
| Databáze: | OpenAIRE |
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