%0 Journal Article
%T ALGORITHMS FOR COMPUTING ULTRA-HIGH-DEGREE DISTURBING GEOPOTENTIAL ELEMENTS<br>超高阶扰动场元的计算方法
%A PENG Fu-Qing XIA Zhe-Ren Xi''''an Institute of Surveying
%A Mapping
%A Xi''''an
%A China
%A <br>彭富清
%J 地球物理学报
%D 2004
%I 
%X The fast development of the modern spatial gravimetric technology makes it possible and more necessary to establish ultra-high-degree global geopotential models. We study the numerical characters of the ultra-high-degree fully normalized associated Legendre functions (ALFs) and their 1 st and 2nd derivatives of the disturbing geopential spherical harmonic expansions from the standard forword column recursions. Then the above-mentioned standard forward column methods are modified. Finally, some applied algorithms for evaluating the ultra-high-degree disturbing potential elements by personal computer are presented, which avoids digital overflow.
%K Ultra-high-degree disturbing geopotential element
%K Fully normalised associated Legendre functions
%K Horner's scheme<br>超高阶扰动场元
%K 完全规格化缔合勒让德函数
%K Horner方案
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=3AB698AC4D0B3BCA&yid=D0E58B75BFD8E51C&vid=F4B561950EE1D31A&iid=B31275AF3241DB2D&sid=A40901B6135B333E&eid=5CC11A326E54A79A&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=4&reference_num=13