Stability of Trojan planets in multi-planetary systems: Stability of Trojan planets in different dynamical systems

R. Schwarz, A. Süli, R. Dvorak, E. Pilat-Lohinger

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

Today there are more than 340 extra-solar planets in about 270 extra-solar systems confirmed. Besides the observed planets there exists also the possibility of a Trojan planet moving in the same orbit as the Jupiter-like planet. In our investigation we take also into account the habitability of a Trojan planet and whether such a terrestrial planet stays in the habitable zone. Its stability was investigated for multi-planetary systems, where one of the detected giant planets moves partly or completely in the habitable zone. By using numerical computations, we studied the orbital behaviour up to 10 7 years and determined the size of the stable regions around the Lagrangian equilibrium points for different dynamical models for fictitious Trojans. We also examined the interaction of the Trojan planets with a second or third giant planet, by varying its semimajor axis and eccentricity. We have found two systems (HD 155358 and HD 69830) that can host habitable Trojan planets. Another aim of this work was to determine the size of the stable region around the Lagrangian equilibrium points in the restricted three body problem for small mass ratios μ of the primaries μ 0.001 (e.g. Neptune mass of the secondary and smaller masses). We established a simple relation for the size depending on μ and the eccentricity.

Original languageEnglish
Pages (from-to)69-84
Number of pages16
JournalCelestial Mechanics and Dynamical Astronomy
Volume104
Issue number1-2
DOIs
Publication statusPublished - Jun 2009

Fingerprint

systems stability
planetary systems
dynamical systems
planets
planet
Lagrangian equilibrium points
eccentricity
habitability
Neptune (planet)
terrestrial planets
three body problem
extrasolar planets
guy wires
Jupiter (planet)
solar system
mass ratios
Neptune
Jupiter
orbits
orbitals

Keywords

  • Habitable planets
  • HD 155358
  • HD 69830
  • Stability around Lagrangian points
  • Trojan planets

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Stability of Trojan planets in multi-planetary systems : Stability of Trojan planets in different dynamical systems. / Schwarz, R.; Süli, A.; Dvorak, R.; Pilat-Lohinger, E.

In: Celestial Mechanics and Dynamical Astronomy, Vol. 104, No. 1-2, 06.2009, p. 69-84.

Research output: Contribution to journalArticle

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