The Laplacian resonance amongst Uranian inner satellites

Details The Laplacian resonance amongst Uranian inner satellites The Laplacian resonance amongst Uranian inner satellites

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...140...33l&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 140, no. 1, Nov. 1984, p. 33-38. Research supported by the Conselho Nacional d

Astronomy and Astrophysics

Astrophysics

13

Celestial Mechanics, Natural Satellites, Planetary Orbits, Uranus (Planet), Ariel, Differential Equations, Equations Of Motion, Miranda, Numerical Integration, Planetary Mass, Resonance

Scientific paper

The most peculiar feature of the orbital motion of the satellites of Uranus is the Laplacian resonance among the three inner ones (Miranda, Ariel, and Umbrial); this causes longitude inequalities of 12.5 years. The coefficients of the differential equation yielding 12.5-year period inequalities in the longitude of Miranda are presently computed. All contributing terms of second order in the satellite masses are considered, and the resulting inequalities are compared with results from a numerical integration of the equations of motion. The results obtained indicate that the satellite masses in question are smaller than those generally given.

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