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Long-term evolution of planetary systems with a terrestrial planet and a giant planet
New York Univ Abu Dhabi, POB 129188, Abu Dhabi, U Arab Emirates..
New York Univ Abu Dhabi, POB 129188, Abu Dhabi, U Arab Emirates..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. NASA, Goddard Inst Space Studies, New York, NY 10027 USA..
2016 (English)In: Monthly notices of the Royal Astronomical Society, ISSN 0035-8711, E-ISSN 1365-2966, Vol. 461, no 2, 1512-1528 p.Article in journal (Refereed) Published
Abstract [en]

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 time-scales 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.

Place, publisher, year, edition, pages
2016. Vol. 461, no 2, 1512-1528 p.
Keyword [en]
celestial mechanics, planets and satellites: dynamical evolution and stability
National Category
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:uu:diva-305460DOI: 10.1093/mnras/stw1378ISI: 000383273600027OAI: oai:DiVA.org:uu-305460DiVA: diva2:1038561
Available from: 2016-10-19 Created: 2016-10-18 Last updated: 2016-10-19Bibliographically approved

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Way, Michael J.
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