Skip to main content
Kent Academic Repository

Yarkovsky-O’Keefe-Radzievskii-Paddack effect on tumbling objects

Breiter, S., Rożek, A., Vokrouhlický, D. (2011) Yarkovsky-O’Keefe-Radzievskii-Paddack effect on tumbling objects. Monthly Notices of the Royal Astronomical Society, 417 (4). pp. 2478-2499. ISSN 0035-8711. (doi:10.1111/j.1365-2966.2011.19411.x) (KAR id:72975)


A semi-analytical model of the Yarkovsky–O’Keefe–Radzievskii–Paddack (YORP) effect on an asteroid spin in a non-principal axis rotation state is developed. The model describes the spin-state evolution in Deprit–Elipe variables, first-order averaged with respect to rotation and Keplerian orbital motion. Assuming zero conductivity, the YORP torque is represented by spherical harmonic series with vectorial coefficients, allowing us to use any degree and order of approximation. Within the quadrupole approximation of the illumination function we find the same first integrals involving rotational momentum, obliquity and dynamical inertia that were obtained by Cicaló & Scheeres. The integrals do not exist when higher degree terms of the illumination function are included, and then the asymptotic states known from Vokrouhlický et al. appear. This resolves an apparent contradiction between earlier results. Averaged equations of motion admit stable and unstable limit cycle solutions that were not previously detected. Non-averaged numerical integration by the Taylor series method for an exemplary shape of 3103 Eger is in good agreement with the semi-analytical theory.

Item Type: Article
DOI/Identification number: 10.1111/j.1365-2966.2011.19411.x
Additional information: This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2011 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
Subjects: Q Science > QB Astronomy
Q Science > QB Astronomy > QB651 Planets, Minor
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Agata Makiela
Date Deposited: 13 Mar 2019 17:07 UTC
Last Modified: 16 Nov 2021 10:26 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

  • Depositors only (login required):

Total unique views for this document in KAR since July 2020. For more details click on the image.