The effect of Poynting-Robertson drag on the triangular Lagrangian points

Author(s): Christoph Lhotka, Alessandra Celletti
Abstract: We investigate the stability of motion close to the Lagrangian equilibrium points L₄ and L₅ in the framework of the spatial, elliptic, restricted three-body problem, subject to the radial component of Poynting-Robertson drag. For this reason we develop a simplified resonant model, that is based on averaging theory, i.e. averaged over the mean anomaly of the perturbing planet. We find temporary stability of particles displaying a tadpole motion in the 1:1 resonance. From the linear stability study of the averaged simplified resonant model, we find that the time of temporary stability is proportional to βa₁n₁, where β is the ratio of the solar radiation over the gravitational force, and a₁, n₁ are the semi-major axis and the mean motion of the perturbing planet, respectively. We extend previous results (Murray, C.D. [1994]. Icarus 112, 465-484) on the asymmetry of the stability indices of L₄ and L₅ to a more realistic force model. Our analytical results are supported by means of numerical simulations. We implement our study to Jupiter-like perturbing planets, that are also found in extra-solar planetary systems.
Organisation(s): Department of Astrophysics
External organisation(s): Università degli Studi di Roma "Tor Vergata"
Journal: Icarus
Volume: 250
Pages: 249 - 261
No. of pages: 13
ISSN: 0019-1035
DOI: https://doi.org/10.1016/j.icarus.2014.11.039
Publication date: 04-2015
Peer reviewed: Yes
Austrian Fields of Science 2012: 103003 Astronomy, 103004 Astrophysics
Keywords
ASJC Scopus subject areas: Astronomy and Astrophysics, Space and Planetary Science
Portal url: https://ucrisportal.univie.ac.at/en/publications/the-effect-of-poyntingrobertson-drag-on-the-triangular-lagrangian-points(dc370d42-3d4e-4b11-a795-fd3e3bd92c1e).html

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