The self-gravity of Uranian rings

Details The self-gravity of Uranian rings The self-gravity of Uranian rings

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cha%26a..20..492z&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 20, Issue 4, p. 492-498.

Astronomy and Astrophysics

Astrophysics

Scientific paper

We derive an approximate, analytic expression for the self-gravity of Uranian elliptical rings at any point in the N-streamline formalism (N -> ∞), and numerically evaluate by a Monte Carlo calculation, the correction factor γ that corrects for the approximations used in the derivation. We confirm that the 2-streamline (N = 2) model overestimates the mass of the ring: for the ɛ, α, βrings, the mass given by the N-streamline model (N -> ∞) is only 2/5 that by the 2-streamline model.

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