Dimensionality and integrals of motion of the Trappist-1 planetary system

Abstract 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 yr the n...

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Bibliographic Details
Published inMonthly notices of the Royal Astronomical Society Vol. 477; no. 4; pp. 4874 - 4878
Main Authors Floß, Johannes, Rein, Hanno, Brumer, Paul
Format Journal Article
LanguageEnglish
Published Oxford University Press 01.07.2018
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Summary:Abstract 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 yr 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.
ISSN:0035-8711
1365-2966
DOI:10.1093/mnras/sty959