EDP Sciences
Free access
Volume 366, Number 2, February I 2001
Page(s) 699 - 707
Section The solar system
DOI http://dx.doi.org/10.1051/0004-6361:20000267

A&A 366, 699-707 (2001)
DOI: 10.1051/0004-6361:20000267

Resonance trapping of planetesimals subject to gas drag: The location of corotation points

D. E. Santos Jr. and R. S. Gomes

Observatório Nacional, Rua General José Cristino, 77 20910-211 Rio de Janeiro RJ, Brazil

(Received 14 August 2000 / Accepted 7 November 2000 )

We present two methods to determine corotation equilibrium points for the elliptical, restricted three body problem with a dissipative force. We show that our first order method is valid for high planetary eccentricity and determine corotation points for interior resonances, an improvement in respect with previous analytical first order methods, however it fails to determine the equilibrium points for the case of the extended corotation resonances. We develop another generic method which determines the solutions for this case. This method gives the corotation points with extreme accuracy for all cases (exterior, interior and extended). We compare our results with numerical integrations of the complete N-body equations in order to determine the accuracy of the points determined by both methods.

Key words: solar system: formation -- planets and satellites: general

Offprint request: R. S. Gomes, rodney@on.br

© ESO 2001