Title

Problems and methods of calculating the Legendre functions of arbitrary degree and order

Journal title

Advances in Geodesy and Geoinformation

Yearbook

2016

Volume

vol. 65

Issue

No 2

Authors

Novikova, Elena ; Dmitrenko, Alexander

Keywords

Fully Normalized Associated Legendre Functions ; recursion ; underflow problem ; overflow problem ; Fukushima method

Divisions of PAS

Nauki Techniczne

Coverage

283-312

Publisher

Commitee on Geodesy PAS

Date

2016

Type

Artykuły / Articles

Identifier

DOI: 10.1515/geocart-2016-0017 ; ISSN 2720-7242

Source

Geodesy and Cartography; 2016; vol. 65; No 2; 283-312

References

Holmes (2002), A simple and stable approach to high degree and order spherical harmonic synthesis Vistas for Geodesy in the New Millennium Of the series International Association of, Geodesy Symposia, 125. ; Fukushima (2015), Numerical Computation of Point Values , Derivatives , and Integrals of Associated Legendre Function of the First Kind and Point Values and Derivatives of Oblate Spheroidal Harmonics of the Second Kind of High Degree and Order International of, Association Geodesy Symposia, 145. ; Peng (2004), Algorithms for computing ultra - high - degree disturbing geopotential elements, Acta Geophysica Sinica, 47, 1023. ; Jekeli (2006), Geometric Reference Systems in geodesy : Division of Geodesy and Geospatial Science School of Ohio State University http : www uacg bg filebank att pdf, Earth Science, 202. ; Pavlis (2012), The development and evaluation of the Earth Gravitational Model Geophys, Res, 117.