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

Autor(en)
Christoph Lhotka, Alessandra Celletti
Abstrakt

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(en)
Institut für Astrophysik
Externe Organisation(en)
Università degli Studi di Roma "Tor Vergata"
Journal
Icarus
Band
250
Seiten
249 - 261
Anzahl der Seiten
13
ISSN
0019-1035
DOI
https://doi.org/10.1016/j.icarus.2014.11.039
Publikationsdatum
04-2015
Peer-reviewed
Ja
ÖFOS 2012
103003 Astronomie, 103004 Astrophysik
Schlagwörter
ASJC Scopus Sachgebiete
Astronomy and Astrophysics, Space and Planetary Science
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/the-effect-of-poyntingrobertson-drag-on-the-triangular-lagrangian-points(dc370d42-3d4e-4b11-a795-fd3e3bd92c1e).html