SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter

Abstract

The dynamics of space debris with very high A/m near the geostationary orbit is dominated by the gravitational coefficient C22 and the solar radiation pressure. We propose a stability atlas, for a large set of these objects, by numerically computing a diffusion indicator (using FMA). The results show chaotic layers around the separatrix and a relevant class of secondary resonances (associated to the period of the sun) near the pendulum-like pattern of geostationary objects. This succession of stable and chaotic layers can be reproduced and explained by a simple toy model, based on a pendulum approach, perturbed, through the eccentricity, by the Sun frequency. The use of action-angle variables in the circulation and libration regions of the pendulum allows to point out new resonances between the geostationary libration angle and the Sun's longitude.
Original languageEnglish
Title of host publicationFifth European Conference on Space Debris
Place of PublicationDarmstadt, Germany
PublisherESOC
Publication statusUnpublished - 2009

Fingerprint

space debris
pendulums
sun
libration
radiation pressure
solar radiation
longitude
eccentricity
orbits
coefficients

Keywords

  • Geostationary; Space debris; Secondary resonance; Analytical model; Solar radiation pressure

Cite this

Delsate, N., & Lemaître, A. (2009). SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES. Unpublished. In Fifth European Conference on Space Debris Darmstadt, Germany: ESOC.
Delsate, Nicolas ; Lemaître, Anne. / SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES. Fifth European Conference on Space Debris. Darmstadt, Germany : ESOC, 2009.
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abstract = "The dynamics of space debris with very high A/m near the geostationary orbit is dominated by the gravitational coefficient C22 and the solar radiation pressure. We propose a stability atlas, for a large set of these objects, by numerically computing a diffusion indicator (using FMA). The results show chaotic layers around the separatrix and a relevant class of secondary resonances (associated to the period of the sun) near the pendulum-like pattern of geostationary objects. This succession of stable and chaotic layers can be reproduced and explained by a simple toy model, based on a pendulum approach, perturbed, through the eccentricity, by the Sun frequency. The use of action-angle variables in the circulation and libration regions of the pendulum allows to point out new resonances between the geostationary libration angle and the Sun's longitude.",
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author = "Nicolas Delsate and Anne Lema{\^i}tre",
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Delsate, N & Lemaître, A 2009, SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES. in Fifth European Conference on Space Debris. ESOC, Darmstadt, Germany.

SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES. / Delsate, Nicolas; Lemaître, Anne.

Fifth European Conference on Space Debris. Darmstadt, Germany : ESOC, 2009.

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter

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T1 - SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES

AU - Delsate, Nicolas

AU - Lemaître, Anne

PY - 2009

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N2 - The dynamics of space debris with very high A/m near the geostationary orbit is dominated by the gravitational coefficient C22 and the solar radiation pressure. We propose a stability atlas, for a large set of these objects, by numerically computing a diffusion indicator (using FMA). The results show chaotic layers around the separatrix and a relevant class of secondary resonances (associated to the period of the sun) near the pendulum-like pattern of geostationary objects. This succession of stable and chaotic layers can be reproduced and explained by a simple toy model, based on a pendulum approach, perturbed, through the eccentricity, by the Sun frequency. The use of action-angle variables in the circulation and libration regions of the pendulum allows to point out new resonances between the geostationary libration angle and the Sun's longitude.

AB - The dynamics of space debris with very high A/m near the geostationary orbit is dominated by the gravitational coefficient C22 and the solar radiation pressure. We propose a stability atlas, for a large set of these objects, by numerically computing a diffusion indicator (using FMA). The results show chaotic layers around the separatrix and a relevant class of secondary resonances (associated to the period of the sun) near the pendulum-like pattern of geostationary objects. This succession of stable and chaotic layers can be reproduced and explained by a simple toy model, based on a pendulum approach, perturbed, through the eccentricity, by the Sun frequency. The use of action-angle variables in the circulation and libration regions of the pendulum allows to point out new resonances between the geostationary libration angle and the Sun's longitude.

KW - Geostationary; Space debris; Secondary resonance; Analytical model; Solar radiation pressure

M3 - Chapter

BT - Fifth European Conference on Space Debris

PB - ESOC

CY - Darmstadt, Germany

ER -

Delsate N, Lemaître A. SPACE DEBRIS WITH HIGH A/M: A WEB OF SUB-RESONANCES. In Fifth European Conference on Space Debris. Darmstadt, Germany: ESOC. 2009