BourbakiV1, PascalFrancis, Corpus, bibRecord, 000083

Chaotic behaviour in the solar system [following J. Laskar]

Identifieur interne : 000083 ( PascalFrancis/Corpus ); précédent : 000082; suivant : 000084

Chaotic behaviour in the solar system [following J. Laskar]

Auteurs : S. Marmi

Source :

Astérisque [ 0303-1179 ] ; 2000.

RBID : Pascal:00-0451012

Descripteurs français

Pascal (Inist)
- Système dynamique, Système chaotique, Mécanique céleste, Théorème KAM, 4550P, 0545A, Petit diviseur.

English descriptors

KwdEn :
- Celestial mechanics, Chaotic systems, Dynamical systems, KAM theorem, Small divisor.

Abstract

The oldest open question in dynamical systems is the problem of stability of orbits in the n-body problem. I will describe some numerical results obtained by J. Laskar which show that the orbits of the planets in a realistic model of the solar system are chaotic with a Lyapounov exponent of 1/(5 Myrs). This chaotic behaviour is also responsible for large chaotic variations in the inclination of the spin axis of the inner planets. The frequency map analysis developed by Laskar proved useful to study the typical mixed phase space structure of these systems, where chaotic, "diffusive" and quasi-periodic orbits coexist.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

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A06				`@2 266`
A08	`01`	`1`	`ENG`	`@1 Chaotic behaviour in the solar system [following J. Laskar]`
A09	`01`	`1`	`FRE`	`@1 Séminaire Bourbaki, volume 1998/99, exposés 850-864`
A11	`01`	`1`		`@1 MARMI (S.)`
A14	`01`			`@1 Dipartimento di Matematica "U. Dini", Università di Firenze, Viale Morgagni 67/A @2 50134 Firenze @3 ITA @Z 1 aut.`
A20				`@2 3, 113-136 [25 p.]`
A21				`@1 2000`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 16146 @5 354000077503430050`
A44				`@0 0000 @1 © 2000 INIST-CNRS. All rights reserved.`
A45				`@0 4 p.`
A47	`01`	`1`		`@0 00-0451012`
A60				`@1 P`
A61				`@0 A`
A64	`01`	`1`		`@0 Astérisque`
A66	`01`			`@0 FRA`
C01	`01`		`ENG`	@0 The oldest open question in dynamical systems is the problem of stability of orbits in the n-body problem. I will describe some numerical results obtained by J. Laskar which show that the orbits of the planets in a realistic model of the solar system are chaotic with a Lyapounov exponent of 1/(5 Myrs). This chaotic behaviour is also responsible for large chaotic variations in the inclination of the spin axis of the inner planets. The frequency map analysis developed by Laskar proved useful to study the typical mixed phase space structure of these systems, where chaotic, "diffusive" and quasi-periodic orbits coexist.
C02	`01`	`3`		`@0 001E03A10C`
C02	`02`	`3`		`@0 001B00E45A`
C03	`01`	`3`	`FRE`	`@0 Système dynamique @5 01`
C03	`01`	`3`	`ENG`	`@0 Dynamical systems @5 01`
C03	`02`	`3`	`FRE`	`@0 Système chaotique @5 02`
C03	`02`	`3`	`ENG`	`@0 Chaotic systems @5 02`
C03	`03`	`3`	`FRE`	`@0 Mécanique céleste @5 03`
C03	`03`	`3`	`ENG`	`@0 Celestial mechanics @5 03`
C03	`04`	`3`	`FRE`	`@0 Théorème KAM @5 04`
C03	`04`	`3`	`ENG`	`@0 KAM theorem @5 04`
C03	`05`	`3`	`FRE`	`@0 4550P @2 PAC @4 INC @5 34`
C03	`06`	`3`	`FRE`	`@0 0545A @2 PAC @4 INC @5 35`
C03	`07`	`3`	`FRE`	`@0 Petit diviseur @4 CD @5 96`
C03	`07`	`3`	`ENG`	`@0 Small divisor @4 CD @5 96`
N21				`@1 297`

Format Inist (serveur)

NO :	PASCAL 00-0451012 INIST
FT :	Séminaire Bourbaki, volume 1998/99, exposés 850-864
ET :	Chaotic behaviour in the solar system [following J. Laskar]
AU :	MARMI (S.)
AF :	Dipartimento di Matematica "U. Dini", Università di Firenze, Viale Morgagni 67/A/50134 Firenze/Italie (1 aut.)
DT :	Publication en série; Niveau analytique
SO :	Astérisque; ISSN 0303-1179; France; Da. 2000; No. 266; 3, 113-136 [25 p.]; Bibl. 4 p.
LA :	Anglais
EA :	The oldest open question in dynamical systems is the problem of stability of orbits in the n-body problem. I will describe some numerical results obtained by J. Laskar which show that the orbits of the planets in a realistic model of the solar system are chaotic with a Lyapounov exponent of 1/(5 Myrs). This chaotic behaviour is also responsible for large chaotic variations in the inclination of the spin axis of the inner planets. The frequency map analysis developed by Laskar proved useful to study the typical mixed phase space structure of these systems, where chaotic, "diffusive" and quasi-periodic orbits coexist.
CC :	001E03A10C; 001B00E45A
FD :	Système dynamique; Système chaotique; Mécanique céleste; Théorème KAM; 4550P; 0545A; Petit diviseur
ED :	Dynamical systems; Chaotic systems; Celestial mechanics; KAM theorem; Small divisor
LO :	INIST-16146.354000077503430050
ID :	00-0451012

Links to Exploration step

Pascal:00-0451012

Le document en format XML

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<front><div type="abstract" xml:lang="en">The oldest open question in dynamical systems is the problem of stability of orbits in the n-body problem. I will describe some numerical results obtained by J. Laskar which show that the orbits of the planets in a realistic model of the solar system are chaotic with a Lyapounov exponent of 1/(5 Myrs). This chaotic behaviour is also responsible for large chaotic variations in the inclination of the spin axis of the inner planets. The frequency map analysis developed by Laskar proved useful to study the typical mixed phase space structure of these systems, where chaotic, "diffusive" and quasi-periodic orbits coexist.</div>
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Chaotic behaviour in the solar system [following J. Laskar]

Chaotic behaviour in the solar system [following J. Laskar]

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri