Statistics – Computation
Scientific paper
May 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004acasn..45..176z&link_type=abstract
Acta Astronomica Sinica, vol. 45, no. 2, p. 176-185
Statistics
Computation
4
Comets: Shoemaker-Levy Comet, Planets And Satellite: Jupiter
Scientific paper
A linear model of the comet's collision with Jupiter is presented, in which the Jovian atmosphere is considered as a stratified, incompressible and inviscid fluid layer and the gravity wave associated with the impacts is caused by an initial impulse.
In stead of adopting an initial surfation, we take an initial impulsive pressure P (r,z,o) as the initial condition. It is found that this approach is more convenient for the mathematical formulation of the problem, especially for the computation of the vertical displacement of the fluid particles and the perturbation potential energy which can be expressed by finite Fourier sine and cosine transform of P (r,z,o).
A relationship among cometary impact parameter, Jovian atmosphere parameter and the assumed initial impulse is deduced. We also derive the wave height of the surface wave analytically for two assumed forms of P (r,z,o).
Chen Dao-Han
Jones Christine
Zhang Kaicheng
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