Affiliation:
1. East China Institute of Technology
2. Wuhan University
3. Chongqing Survey Institute
Abstract
Spherical cap harmonic (SCH) theory has been widely used to format regional model of fields that can be expressed as the gradient of a scalar potential. The functions of this method consist of trigonometric functions and associated Legendre functions with integral-order but non-integral degree. Evidently, the constructing and computing of Legendre functions are the core content of the spherical cap functions. In this paper,the approximated calculation method of the normalized association Legendre functions with non-integral degree is introduced and an analysis of the entire order of associated non-Legendre function calculation is presented. Besides, we use the Muller method to search out for all intrinsic values. The results showed that the highest order of spherical harmonic function for constructing regional model of fields is limited, thus high-resolution spherical harmonic structure of local gravity field need to be improved.
Publisher
Trans Tech Publications, Ltd.
Reference15 articles.
1. Haines G V. Spherical cap harmonic analysis [J]. Journal of Geophysical Research, 1985, 90(3): 2583-2591.
2. Haines G V. Magsat vertical field anomalies above 40N from spherical cap harmonic analysis [J]. Journal of Geophysical Research, 1985, 90(3): 2593-2598.
3. Santis A De, Torta M J, Falcone C. Spherical cap models of laplacian potentials and general fields[C]. Geodetic Theory Today.New York, [S. 1. ]:Springer, 1995: 141-150.
4. Heikki Nevanlinna, Joumi Rynö, Haines V Gerry, Kjell Borg,. Spherical cap harmonic analysis applied to the scandinavian geomagnetic field 1985. 0[J]. Deutsche Hydrographische Zeitschrift, 1988, 41: 177-186.
5. AN Zhenchang, Rotanova N M, Odintsov S D, WANG Peng-cheng. Spherical cap harmonic models of magsat magnetic anomalies over europe and its adjacent region[J]. Chinese Journal of Geophysics, 1998, 41(4): 468-474.
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