Publication Abstracts

Georgakarakos et al. 2016

Georgakarakos, N., I. Dobbs-Dixon, and M.J. Way, 2016: Long term evolution of planetary systems with a terrestrial planet and a giant planet. Mon. Not. Roy. Astron. Soc., 461, no. 2, 1512-1528, doi:10.1093/mnras/stw1378.

We study the long term orbital evolution of a terrestrial planet under the gravitational perturbations of a giant planet. In particular, we are interested in situations where the two planets are in the same plane and are relatively close. We examine both possible configurations: the giant planet orbit being either outside or inside the orbit of the smaller planet. The perturbing potential is expanded to high orders and an analytical solution of the terrestrial planetary orbit is derived. The analytical estimates are then compared against results from the numerical integration of the full equations of motion and we find that the analytical solution works reasonably well. An interesting finding is that the new analytical estimates improve greatly the predictions for the timescales of the orbital evolution of the terrestrial planet compared to an octupole order expansion. Finally, we briefly discuss possible applications of the analytical estimates in astrophysical problems.

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BibTeX Citation

@article{ge02200w,
  author={Georgakarakos, N. and Dobbs-Dixon, I. and Way, M. J.},
  title={Long term evolution of planetary systems with a terrestrial planet and a giant planet},
  year={2016},
  journal={Mon. Not. Roy. Astron. Soc.},
  volume={461},
  number={2},
  pages={1512--1528},
  doi={10.1093/mnras/stw1378},
}

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RIS Citation

TY  - JOUR
ID  - ge02200w
AU  - Georgakarakos, N.
AU  - Dobbs-Dixon, I.
AU  - Way, M. J.
PY  - 2016
TI  - Long term evolution of planetary systems with a terrestrial planet and a giant planet
JA  - Mon. Not. Roy. Astron. Soc.
VL  - 461
IS  - 2
SP  - 1512
EP  - 1528
DO  - 10.1093/mnras/stw1378
ER  -

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