Open AccessNote on the Paper of A. H. Cook, “The External Gravity Field of a Rotating Spheroid to the order of e 3 ”
Author(s) -
Lambert Walter D.
Publication year - 1960
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1960.tb01709.x
Subject(s) - spheroid , limit (mathematics) , field (mathematics) , gravitational field , notation , order (exchange) , first order , physics , mathematical physics , mathematics , classical mechanics , mathematical analysis , pure mathematics , chemistry , arithmetic , biochemistry , finance , economics , in vitro
Summary A. H. Cook published in the September 1959 number of this Journal an article entitled “The External Gravity Field of a Rotating Spheroid to the order of e 3 ”. Cook's formulas for the potential of such a spheroid stop with the term in P 6 (sin φ), which is given, as indicated, by the title, to an accuracy of e 3 . This no' estates, without proof, formulas for the coefficients of P 2n (sin φ) with no limit on n and no limit to the formal numerical accuracy of such coefficients. Some of Cook's other formulas may be simplified by a slight change in notation.