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Dynamics of Highly Eccentric and Highly Inclined Space Debris

SSRN, ISSN: 1556-5068
2023
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Metric Options:   Counts1 Year3 Year

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  • Usage
    136
    • Abstract Views
      112
    • Downloads
      24

Article Description

A common condition of many artificial satellites around the Earth is thatthey orbit on highly eccentric and/or highly inclined orbits. In this work we studythe secular dynamics of these bodies and we present some of their dynamical aspects.Highly eccentric satellites experience different forces along their trajectories, as theirorbit tends to cross multiple regions in the space around the Earth, making relevant theeffects of atmospheric drag, when the orbit enters the atmosphere, or the solar radiationpressure, when it is further away from the Earth. This means that one needs to take intoaccount different forces, whose magnitude drastically depends on the orbital elementsof the satellite. Besides, highly inclined orbits are important in the study of satellitedynamics, as large values of the inclination might provoke an increase of the eccentricity,when the satellite is close to a lunisolar resonance. An accurate force model is developedfor treating highly eccentric and highly inclined orbits, which includes the geopotential(limited to the most important harmonic coefficients), the effects of Moon and Sun(which are treated as third bodies perturbations), the secular effects of the atmosphericdrag and the solar radiation pressure, using simple models for the density of the Earth’satmosphere and the Sun’s radiation, respectively. Using canonical transformations wecalculate quasi integrals of the motion called proper elements. Finally, we implementmachine learning algorithms to efficiently cluster satellite fragments, using their properelements, in highly eccentric orbits, including cases where the dissipation, caused by theatmospheric drag, is relevant for the dynamics.

Bibliographic Details

Alessandra Celletti; Anargyros Dogkas; Tudor Vartolomei

Elsevier BV

Multidisciplinary; Space debris; Highly eccentric orbits; Highly inclined orbits; Proper elements

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