A new formula for evaluating the truncation error coefficient
Abstract
In this paper, a new formula for evaluating the truncation coefficient Q _{ n } is derived from recurrence relations of Legendre polynomials. The present formula has been conveniently processed by an electronic computer, providing the value of Q _{ n } up to a degree n=49 which are exactly equal to those of Paul (1973).
 Publication:

Bulletin Geodesique
 Pub Date:
 June 1976
 DOI:
 10.1007/BF02522312
 Bibcode:
 1976BGeod..50..131H
 Keywords:

 Geoids;
 Gravity Anomalies;
 Legendre Functions;
 Spherical Harmonics;
 Truncation Errors;
 Computer Techniques;
 Differential Equations;
 Error Analysis;
 Stokes Theorem (Vector Calculus);
 Geophysics