Dimensionality and integrals of motion of the Trappist-1 planetary system
| Autor: | Paul Brumer, Johannes Floß, Hanno Rein |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Earth and Planetary Astrophysics (astro-ph.EP) Correlation dimension Motion (geometry) FOS: Physical sciences Astronomy and Astrophysics Planetary system Nonlinear Sciences - Chaotic Dynamics 01 natural sciences Stability (probability) Celestial mechanics Classical mechanics Space and Planetary Science Planet 0103 physical sciences TRAPPIST Astrophysics::Earth and Planetary Astrophysics Chaotic Dynamics (nlin.CD) 010306 general physics 010303 astronomy & astrophysics Astrophysics - Earth and Planetary Astrophysics Curse of dimensionality |
| DOI: | 10.48550/arxiv.1802.08300 |
| Popis: | The number of isolating integrals of motion of the Trappist-1 system - a late M-dwarf orbited by seven Earth-sized planets - was determined numerically, using an adapted version of the correlation dimension method. It was found that over the investigated time-scales of up to 20 000 years the number of isolating integrals of motion is the same as one would find for a system of seven non-interacting planets - despite the fact that the planets in the Trappist-1 system are strongly interacting. Considering perturbed versions of the Trappist-1 system shows that the system may occupy an atypical part of phase-space with high stability. These findings are consistent with earlier studies. Comment: 6 pages, 6 figures, accepted manuscript for publication MNRAS |
| Databáze: | OpenAIRE |
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