Dynamics of capture in the restricted three-body problem

S. Astakhov; A. Burbanks; S. Wiggins; D. Farrelly

Dynamics of capture in the restricted three-body problem

S. Astakhov, A. Burbanks, S. Wiggins, D. Farrelly

School of Mathematics & Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract

We propose a new dynamical model for capture of irregular moons which identifies chaos as the essential feature responsible for initial temporary gravitational trapping within a planet's Hill sphere. The key point is that incoming potential satellites get trapped in chaotic orbits close to “sticky” KAM tori in the neighbourhood of the planet, possibly for very long times, so that the chaotic layer largely dictates the final orbital properties of captured moons.

Original language	English
Title of host publication	Order and Chaos in Stellar and Planetary Systems
Editors	Gene G. Byrd, Konstantin V. Kholshevnikov, Aleksandr A. Myllari, Igor' I. Nikiforov, Victor V. Orlov
Publisher	Astronomical Society of the Pacific
Pages	80-85
Number of pages	6
ISBN (Electronic)	9781583812518
ISBN (Print)	1583811729
Publication status	Published - 1 Jan 2004

Publication series

Name	Astronomical Society of the Pacific Conference Series
Publisher	Astronomical Society of the Pacific
Volume	316

Access to Document

http://www.aspbooks.org/a/volumes/article_details?paper_id=216

Utah State University
Andrew Burbanks (Visiting researcher)
27 May 2003 → 7 Jun 2003
Activity: Visiting an external organisation types › Visiting an external academic institution

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Astakhov, S., Burbanks, A., Wiggins, S., & Farrelly, D. (2004). Dynamics of capture in the restricted three-body problem. In G. G. Byrd, K. V. Kholshevnikov, A. A. Myllari, I. I. Nikiforov, & V. V. Orlov (Eds.), Order and Chaos in Stellar and Planetary Systems (pp. 80-85). (Astronomical Society of the Pacific Conference Series; Vol. 316). Astronomical Society of the Pacific. http://www.aspbooks.org/a/volumes/article_details?paper_id=216

Astakhov, S. ; Burbanks, A. ; Wiggins, S. et al. / Dynamics of capture in the restricted three-body problem. Order and Chaos in Stellar and Planetary Systems. editor / Gene G. Byrd ; Konstantin V. Kholshevnikov ; Aleksandr A. Myllari ; Igor' I. Nikiforov ; Victor V. Orlov. Astronomical Society of the Pacific, 2004. pp. 80-85 (Astronomical Society of the Pacific Conference Series).

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title = "Dynamics of capture in the restricted three-body problem",

abstract = "We propose a new dynamical model for capture of irregular moons which identifies chaos as the essential feature responsible for initial temporary gravitational trapping within a planet's Hill sphere. The key point is that incoming potential satellites get trapped in chaotic orbits close to “sticky” KAM tori in the neighbourhood of the planet, possibly for very long times, so that the chaotic layer largely dictates the final orbital properties of captured moons.",

author = "S. Astakhov and A. Burbanks and S. Wiggins and D. Farrelly",

note = "Output does not have a DOI",

year = "2004",

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language = "English",

isbn = "1583811729",

series = "Astronomical Society of the Pacific Conference Series",

publisher = "Astronomical Society of the Pacific",

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editor = "Byrd, {Gene G.} and Kholshevnikov, {Konstantin V.} and Myllari, {Aleksandr A.} and Nikiforov, {Igor' I.} and Orlov, {Victor V.}",

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Astakhov, S, Burbanks, A, Wiggins, S & Farrelly, D 2004, Dynamics of capture in the restricted three-body problem. in GG Byrd, KV Kholshevnikov, AA Myllari, II Nikiforov & VV Orlov (eds), Order and Chaos in Stellar and Planetary Systems. Astronomical Society of the Pacific Conference Series, vol. 316, Astronomical Society of the Pacific, pp. 80-85. <http://www.aspbooks.org/a/volumes/article_details?paper_id=216>

Dynamics of capture in the restricted three-body problem. / Astakhov, S.; Burbanks, A.; Wiggins, S. et al.
Order and Chaos in Stellar and Planetary Systems. ed. / Gene G. Byrd; Konstantin V. Kholshevnikov; Aleksandr A. Myllari; Igor' I. Nikiforov; Victor V. Orlov. Astronomical Society of the Pacific, 2004. p. 80-85 (Astronomical Society of the Pacific Conference Series; Vol. 316).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

TY - CHAP

T1 - Dynamics of capture in the restricted three-body problem

AU - Astakhov, S.

AU - Burbanks, A.

AU - Wiggins, S.

AU - Farrelly, D.

N1 - Output does not have a DOI

PY - 2004/1/1

Y1 - 2004/1/1

N2 - We propose a new dynamical model for capture of irregular moons which identifies chaos as the essential feature responsible for initial temporary gravitational trapping within a planet's Hill sphere. The key point is that incoming potential satellites get trapped in chaotic orbits close to “sticky” KAM tori in the neighbourhood of the planet, possibly for very long times, so that the chaotic layer largely dictates the final orbital properties of captured moons.

AB - We propose a new dynamical model for capture of irregular moons which identifies chaos as the essential feature responsible for initial temporary gravitational trapping within a planet's Hill sphere. The key point is that incoming potential satellites get trapped in chaotic orbits close to “sticky” KAM tori in the neighbourhood of the planet, possibly for very long times, so that the chaotic layer largely dictates the final orbital properties of captured moons.

M3 - Chapter (peer-reviewed)

SN - 1583811729

T3 - Astronomical Society of the Pacific Conference Series

SP - 80

EP - 85

BT - Order and Chaos in Stellar and Planetary Systems

A2 - Byrd, Gene G.

A2 - Kholshevnikov, Konstantin V.

A2 - Myllari, Aleksandr A.

A2 - Nikiforov, Igor' I.

A2 - Orlov, Victor V.

PB - Astronomical Society of the Pacific

ER -

Dynamics of capture in the restricted three-body problem

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Utah State University

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