Mathematics – Logic
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982bssa...72.2147j&link_type=abstract
Seismological Society of America, Bulletin (ISSN 0037-1106), vol. 72, Dec. 1982, p. 2147-2170.
Mathematics
Logic
Curve Fitting, Data Reduction, Lunar Seismographs, Seismic Waves, Spline Functions, Time Measurement, Wave Propagation, Data Smoothing, Error Analysis, Inversions, Iterative Solution, Least Squares Method, P Waves
Scientific paper
A method based on the use of constrained spline fits is used to overcome the difficulties arising when body-wave data in the form of T-delta are reduced to the tau-p form in the presence of cusps. In comparison with unconstrained spline fits, the method proposed here tends to produce much smoother models which lie approximately in the middle of the bounds produced by the extremal method. The method is noniterative and, therefore, computationally efficient. The method is applied to the lunar seismic data, where at least one triplication is presumed to occur in the P-wave travel-time curve. It is shown, however, that because of an insufficient number of data points for events close to the antipode of the center of the lunar network, the present analysis is not accurate enough to resolve the problem of a possible lunar core.
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