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Linking long-term planetary N-body simulations with periodic orbits : application to white dwarf pollution
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Antoniadou, Kyriaki I. and Veras, Dimitri (2016) Linking long-term planetary N-body simulations with periodic orbits : application to white dwarf pollution. Monthly Notices of the Royal Astronomical Society, 463 (4). pp. 4108-4120. ISSN 0035-8711.
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Official URL: http://dx.doi.org/10.1093/mnras/stw2264
Abstract
Mounting discoveries of debris discs orbiting newly formed stars and white dwarfs (WDs) showcase the importance of modelling the long-term evolution of small bodies in exosystems. WD debris discs are, in particular, thought to form from very long-term (0.1–5.0 Gyr) instability between planets and asteroids. However, the time-consuming nature of N-body integrators which accurately simulate motion over Gyrs necessitates a judicious choice of initial conditions. The analytical tools known as periodic orbits can circumvent the guesswork. Here, we begin a comprehensive analysis directly linking periodic orbits with N-body integration outcomes with an extensive exploration of the planar circular restricted three-body problem (CRTBP) with an outer planet and inner asteroid near or inside of the 2:1 mean motion resonance. We run nearly 1000 focused simulations for the entire age of the Universe (14 Gyr) with initial conditions mapped to the phase space locations surrounding the unstable and stable periodic orbits for that commensurability. In none of our simulations did the planar CRTBP architecture yield a long-time-scale (≳0.25 per cent of the age of the Universe) asteroid-star collision. The pericentre distance of asteroids which survived beyond this time-scale (≈35 Myr) varied by at most about 60 per cent. These results help affirm that collisions occur too quickly to explain WD pollution in the planar CRTBP 2:1 regime, and highlight the need for further periodic orbit studies with the eccentric and inclined TBP architectures and other significant orbital period commensurabilities.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
Journal or Publication Title: | Monthly Notices of the Royal Astronomical Society | ||||||||
Publisher: | Oxford University Press | ||||||||
ISSN: | 0035-8711 | ||||||||
Official Date: | 21 December 2016 | ||||||||
Dates: |
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Volume: | 463 | ||||||||
Number: | 4 | ||||||||
Page Range: | pp. 4108-4120 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 27 September 2016 | ||||||||
Date of first compliant Open Access: | 19 December 2016 | ||||||||
Funder: | European Research Council (ERC) | ||||||||
Grant number: | 320964 |
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