Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20.2921k&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 24, p. 2921-2924
Astronomy and Astrophysics
Astronomy
13
Astronomical Models, Collisions, Jupiter (Planet), Shoemaker-Levy 9 Comet, Coriolis Effect, Kinematics, Oscillations, Perturbation Theory, Seismology
Scientific paper
We estimated the amplitudes of Jovian normal modes excited by a near-surface impact. The planet is modeled as a self-gravitating fluid sphere, and the impact source is approximated by a single force or a point pressure source. The effects of rotation are not included. An impact of a comet with a radius of 3 km and momentum Mnu = 6.8 x 1023 g-cm/s is modeled as a point source 100 km below the Jovian surface, assumed to be at 1 bar. The peak-to-peak amplitudes of displacement and velocity of disturbance with a period of 700 s are approximately 2.1 m and 1.9 cm/s, respectively, at a distance of 90 deg from the impact. An amplification of a factor of about 25 occurs near the antipode. This estimate is not sensitive to the assumptions on the density distribution above the surface. The amplitude in the higher altitude can be significantly higher. At shorter periods (100 to 200 s), the amplitudes depend on the source depth. For an impact with M nu = 1023 g-cm/s, and for a source depth of about 20 to 50 km, the amplitude and the particle velocity at a distance of 90 deg are of the order of 100 m, and 3 m/s, respectively. The pressure change at a depth of 20 to 50 km is of the order of 20 dyne/sq cm, or about 2 x 10-6 of the ambient pressure at a depth of 40 km.
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