Orbital stability of compact three-planet systems, I:Dependence of system lifetimes on initial orbital separations and longitudes
Autor: | Sacha Gavino, Jack J. Lissauer |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
010504 meteorology & atmospheric sciences
INSTABILITY FOS: Physical sciences Astrophysics Orbital mechanics MASS 01 natural sciences RESONANCE OVERLAP Planet Dynamical evolution and stability 0103 physical sciences 010303 astronomy & astrophysics 0105 earth and related environmental sciences Earth and Planetary Astrophysics (astro-ph.EP) Physics Numerical Exoplanets Astronomy and Astrophysics Planetary system Exoplanet Orbit Planetary systems Mean motion Orders of magnitude (time) Space and Planetary Science Hill sphere Astrophysics::Earth and Planetary Astrophysics Planets and satellites Astrophysics - Earth and Planetary Astrophysics PLANETS |
Zdroj: | Lissauer, J J & Gavino, S 2021, ' Orbital stability of compact three-planet systems, I : Dependence of system lifetimes on initial orbital separations and longitudes ', Icarus, vol. 364, 114470 . https://doi.org/10.1016/j.icarus.2021.114470 |
DOI: | 10.1016/j.icarus.2021.114470 |
Popis: | We explore the orbital dynamics of systems consisting of three planets, each as massive as the Earth, on coplanar, initially circular, orbits about a star of one solar mass. The initial semimajor axes of the planets are equally spaced in terms of their mutual Hill radius, which is equivalent to a geometric progression of orbital periods for small planets of equal mass. Our simulations explore a wide range of spacings of the planets, and were integrated for virtual times of up to 10 billion years or until the orbits of any pair of planets crossed. We find the same general trend of system lifetimes increasing exponentially with separation between orbits seen by previous studies of systems of three or more planets. One focus of this paper is to go beyond the rough trends found by previous numerical studies and quantitatively explore the nature of the scatter in lifetimes and the destabilizing effects of mean motion resonances. In contrast to previous results for five-planet systems, a nontrivial fraction of three-planet systems survive at least several orders of magnitude longer than most other systems with similar initial separation between orbits, with some surviving 1010 years at much smaller orbital separations than any found for five-planet systems. Substantial shifts in the initial planetary longitudes cause a scatter of roughly a factor of two in system lifetime, whereas the shift of one planet's initial position by 100 m along its orbit results in smaller changes in the logarithm of the time to orbit crossing, especially for systems with short lifetimes. |
Databáze: | OpenAIRE |
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