Statistics – Computation
Scientific paper
Jan 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975olhe.book.....m&link_type=abstract
On the oscillation of the laterally heterogeneous earth, I., by Musen, P.. Goddard Space Flight Center, Greenbelt, Maryland, GS
Statistics
Computation
157
Coriolis Effect, Earth (Planet), Oscillations, Perturbation, Angular Momentum, Differential Equations, Quantum Mechanics
Scientific paper
The perturbative effects, as cause by lateral inhomogeneities in the earth structure and by Coriolis force, contaminate the originally toroidal and spheroidal earth's oscillations, making them of mixed type. For this reason, in order to make the computation of the perturbations more uniform and homogeneous, it was suggested that the earth's free oscillations be expanded into a series in terms of generalized harmonics familiar from the theory of angular momentum in quantum mechanics. Making use of Gibbsian symbolism and of some operators from the theory of angular momentum, explicit expressions were deduced for the perturbative terms in the differential equation of the earth's free oscillations. Decomposition of the strain tensor in terms of canonical vectors was also obtained.
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