2019MNRAS.490..359W -
Mon. Not. R. Astron. Soc., 490, 359-370 (2019/November-3)
The influence of inclinations on the dynamical stability of multi-planet systems.
WANG Y., ZHOU J.-L., LIU F.-Y., SUN W., LIU H.-G. and YANG M.
Abstract (from CDS):
A type of compactly spaced and comparably sized multi-exoplanet system similar to TRAPPIST-1 has been discovered recently. The stability of these systems is an important issue, requiring further study. We examined how the initial inclinations influence the stability of multi-planet systems and derived an empirical formula describing the dependence of the instability time-scale on planetary mass, space separation and initial inclination. We find the following. (i) If space separations between planets are greater than 12RH (mutual Hill radius), coplanar multi-planet systems with 10–6 <= µ <= 10–3 (reduced planetary mass µ = m/M*) will remain stable within 1010Tin (the innermost orbital period). (ii) If initial inclinations of planets are smaller than 10° and space separations are greater than 10RH, multi-planet systems consisting of >=5 planets with µ >= 10–5 will remain stable within 1010Tin. (iii) Initial inclinations in [0°, 10°] have inconsequential effects on the instability time-scales of massive multi-planet systems (µ >= 10–5), because eccentricities (excited during evolution) dominate the stability of these systems. (iv) If the initial inclinations are large enough (>=10°), sharp increases of instability time-scales in groups with 10–3 >= µ >= 10–5 will be moderated. This article presents a comprehensive study of the influence of inclination on the stability of multi-planet systems and discusses critical space separations for a multi-planet system becoming unstable.
Abstract Copyright:
© 2019 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society
Journal keyword(s):
planets and satellites: dynamical evolution and stability - Planetary System
Simbad objects:
5
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