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Spin–orbit resonances of high-eccentricity asteroids : regular, switching, and jumping

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Makarov, Valeri V., Goldin, Alexey and Veras, Dimitri (2021) Spin–orbit resonances of high-eccentricity asteroids : regular, switching, and jumping. Planetary Science Journal, 2 (3). 108. doi:10.3847/psj/abf93f ISSN 2632-3338.

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Official URL: https://doi.org/10.3847/PSJ/abf93f

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Abstract

Few solar system asteroids and comets are found in high-eccentricity orbits (e > 0.9), but in the primordial planetesimal disks and in exoplanet systems around dying stars such objects are believed to be common. For 2006 HY51, the main belt asteroid with the highest known eccentricity 0.9684, we investigate the probable rotational states today using our computer-efficient chaotic process simulation method. Starting with random initial conditions, we find that this asteroid is inevitably captured into stable spin–orbit resonances typically within tens to a hundred megayears. The resonances are confirmed by direct integration of the equation of motion in the vicinity of endpoints. Most resonances are located at high spin values above 960 times the mean motion (such as 964:1 or 4169:4), corresponding to rotation periods of a few days. We discover three types of resonance in the high-eccentricity regime: (1) regular circulation with weakly librating aphelion velocities and integer-number spin–orbit commensurabilities, (2) switching resonances of higher order with orientation alternating between aligned (0 or π) and sidewise (π/2) angles at aphelia and perihelia, (3) jumping resonances with aphelion spin alternating between two quantum states in the absence of spin–orbit commensurability. The islands of equilibrium are numerous at high spin rates but small in parameter space area, so that it takes millions of orbits of chaotic wandering to accidentally entrap in one of them. We discuss the implications of this discovery for the origins and destiny of high-eccentricity objects and the prospects of extending this analysis to the full 3D treatment.

Item Type: Journal Article
Subjects: Q Science > QB Astronomy
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
SWORD Depositor: Library Publications Router
Library of Congress Subject Headings (LCSH): Asteroids , Asteroids -- Orbits , Extrasolar planets -- Orbits , Resonance , Celestial mechanics
Journal or Publication Title: Planetary Science Journal
Publisher: American Astronomical Society
ISSN: 2632-3338
Official Date: 10 June 2021
Dates:
DateEvent
10 June 2021Published
15 April 2021Accepted
Volume: 2
Number: 3
Article Number: 108
DOI: 10.3847/psj/abf93f
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): ** From IOP Publishing via Jisc Publications Router ** History: received 01-09-2020; rev-recd 03-03-2021; oa-requested 15-04-2021; accepted 15-04-2021; ppub 06-2021; epub 10-06-2021; open-access 10-06-2021. ** Licence for this article: http://creativecommons.org/licenses/by/4.0/
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 19 November 2021
Date of first compliant Open Access: 19 November 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
ST/P003850/1[STFC] Science and Technology Facilities Councilhttp://dx.doi.org/10.13039/501100000271
Is Part Of: 1
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