Stability of the Lagrangian point L 4 in the spatial restricted three-body problem - application to exoplanetary systems

R. Schwarz, Á Bazsó, B. Érdi, B. Funk

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper is devoted to the study of the stability of the Lagrangian point L 4 in the spatial restricted three-body problem and to the possibility of inclined Trojan-like objects in exoplanetary systems (single and binary star systems). The stability is investigated by numerical methods, computing stability maps in different parameter planes. In the case of circular motion of the primary bodies, it is shown that there are stable orbits up to an inclination i = 61° of the test particle. At moderate inclinations (~10° to ~50°), we find that the stability limit in the mass ratio of the primaries extends well beyond the linear stability value of 0.0385 - with stable orbits existing even for extreme mass ratios of 0.048. In the case of elliptic motion of the primaries, the stable region in the mass ratio-eccentricity plane shrinks as the inclination increases, with no stable orbits being found for inclinations in excess of i = 61°. Both in the circular and elliptic cases, the structure of the stability regions is closely connected with secondary resonances between the librational frequencies. As an application, the results are applied to 35 known exoplanetary systems showing which of them may possess Trojan-like objects in inclined orbits.

Original languageEnglish
Pages (from-to)397-402
Number of pages6
JournalMonthly Notices of the Royal Astronomical Society
Volume427
Issue number1
DOIs
Publication statusPublished - Nov 21 2012

Fingerprint

three body problem
inclination
mass ratios
orbits
eccentricity
numerical method
binary stars
stars

Keywords

  • Celestial mechanics
  • Methods: numerical
  • Planetary systems

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Stability of the Lagrangian point L 4 in the spatial restricted three-body problem - application to exoplanetary systems. / Schwarz, R.; Bazsó, Á; Érdi, B.; Funk, B.

In: Monthly Notices of the Royal Astronomical Society, Vol. 427, No. 1, 21.11.2012, p. 397-402.

Research output: Contribution to journalArticle

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