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