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Orbital relaxation and excitation of planets tidally interacting with white dwarfs

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Veras, Dimitri, Efroimsky, Michael, Makarov, Valeri V., Boué, Gwenäel, Wolthoff, Vera , Reffert, Sabine , Quirrenbach, Sabine , Tremblay, Pier-Emmanuel and Gaensicke, B. T. (2019) Orbital relaxation and excitation of planets tidally interacting with white dwarfs. Monthly Notices of the Royal Astronomical Society, 486 (3). pp. 3831-3848. doi:10.1093/mnras/stz965

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Official URL: https://doi.org/10.1093/mnras/stz965

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Abstract

Observational evidence of white dwarf planetary systems is dominated by the remains of exo-asteroids through accreted metals, debris discs, and orbiting planetesimals. However, exo-planets in these systems play crucial roles as perturbing agents, and can themselves be perturbed close to the white dwarf Roche radius. Here, we illustrate a procedure for computing the tidal interaction between a white dwarf and a near-spherical solid planet. This method determines the planet’s inward and/or out-ward drift, and whether the planet will reach the Roche radius and be destroyed. We avoid constant tidal lag formulations and instead employ the self-consistent secular Darwin-Kaula expansions from Boué & Efroimsky (2019), which feature an arbitrary frequency dependence on the quality functions. We adopt wide ranges of dynamic viscosities and spin rates for the planet in order to straddle many possible outcomes, and provide a foundation for the future study of individual systems with known or assumed rheologies. We find that: (i) massive Super-Earths are destroyed more readily than minor planets (such as the ones orbiting WD 1145+017 and SDSSJ1228+1040),(ii) low-viscosity planets are destroyed more easily than high-viscosity planets, and(iii) the boundary between survival and destruction is likely to be fractal and chaotic.

Item Type: Journal Article
Subjects: Q Science > QB Astronomy
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): White dwarf stars
Journal or Publication Title: Monthly Notices of the Royal Astronomical Society
Publisher: Oxford University Press
ISSN: 1745-3933
Official Date: July 2019
Dates:
DateEvent
July 2019Published
3 April 2019Accepted
Volume: 486
Number: 3
Page Range: pp. 3831-3848
DOI: 10.1093/mnras/stz965
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
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
SPP 1992 Exploring the Diversity of Extra-solar Planets (RE2694/5-1)[DFG] Deutsche Forschungsgemeinschafthttp://dx.doi.org/10.13039/501100001659
677706 (WD3D)H2020 European Research Councilhttp://dx.doi.org/10.13039/100010663
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