Computing geodetic coordinates

SIAM Review

Volumn 40, Issue 2, 1998, Pages 300-309

  Keeler, Stephen P ^a   Nievergelt, Yves ^b  

^a BOEING COMPANY   (United States)

^b EASTERN WASHINGTON UNIVERSITY   (United States)

Author keywords

Computation; Error analysis; Geodesy; Geodetic coordinates in space

Indexed keywords

ERROR ANALYSIS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

CARTESIAN COORDINATE SYSTEM; GEODETIC COORDINATES;

GEODESY;

EID: 0032098782     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144597323921     Document Type: Article

References (12)

1. O. S. ADAMS, Latitude developments connected with geodesy and cartography with tables, including a table for Lambert Equal-Area Meridional projection: U.S. Coast and Geodetic Survey Spec. Pub. No. 67, U.S. Coast and Geodetic Survey, Washington, DC, 1921.
2. J. C. ALEXANDER, The numerics of computing geodetic ellipsoids, SIAM Rev., 27 (1985), pp. 241-247. Reprinted in reference [8], p. 170-176.
3. R. BARRIO AND A. RIAGUAS, Comparison of algorithms for the transformation from geocentric to geodetic coordinates, Rev. Acad. Cienc. Zaragoza (2), 48 (1993), pp. 135-143.
4. F. BOCCHIO, Geodetic singularities, Rev. Geophys. Space Phys., 20 (1982), pp. 399-409.
5. M. BERGER, Geometry II, Springer-Verlag, Berlin, Heidelberg, New York, 1987.
6. A. DEPRIT AND A. DEPRIT-BARTHOLOMÉ, Conversion from geocentric to geodetic coordinates, Celestial Mech. Dynam. Astronom., 12 (1975), pp. 489-493.
7. H. KARTTUNEN, P. KRÖGER, H. OJA, M. POUTANEN, AND K. J. DONNER, EDS., Fundamental Astronomy, 2nd Enlarged Edition, Springer-Verlag, Berlin, Heidelberg, New York, 1994.
8. M. S. KLAMKIN, ED., Mathematical Modelling: Classroom Notes in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1987.
9. J. MORRISON AND S. PINES, The reduction from geocentric to geodetic coordinates, Astronom. J., 66 (1961), pp. 15-16.
10. SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, SIAM Report on Mathematics in Industry, Society for Industrial and Applied Mathematics, Philadelphia, PA, undated.
11. J. P. SNYDER, Map Projections Used by the U.S. Geological Survey, 2nd edition, U. S. Geological Survey Bulletin 1532, U. S. Government Printing Office, Washington, DC, 1984.
12. J. P. SNYDER, Map Projections - A Working Manual, U. S. Geological Survey, Professional Paper 1395, U. S. Government Printing Office, Washington, DC, 1987.