Abstract
The results from 14 satellite orbit analyses, two of which are new objects, are used to determine individual tesseral harmonic coefficients of 30th-order and even degree. Six C, S pairs are evaluated by solving the equations using a modified least-squares technique. The results are compared with comprehensive geopotential models. The recent models GRIM4-C1, GEM-T3 and JGM-2 emerge well from such tests and are generally closest to the resonance values. A tentative solution is found for four pairs of harmonic coefficients of 30th-order and odd degree.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Allan RR(1973) Satellite resonance with longitude-dependent gravity-III. Inclination changes for close satellites. Planet Space Sci 21: 205.
Gooding RH, King-Hele DG (1989) Explicit forms of some functions arising in the analysis of resonant satellite orbits. Proc R Soc A422:241
Harwood NM, Swinerd GG (1991) Orbit determination and analysis of Meteor 3 (1970-19A) at 15th-order resonance. Planet Space Sci 39:961.
Harwood NM, Swinerd GG (1993) Determination and analysis of the orbit of Meteor 28 (1977-57A) at 154 epochs during 15th-order resonance. Phil Trans R Soc Lond. A.342, 601–634.
Harwood NM, Swinerd GG, King-Hele DG (1993) Individual geopotential harmonic coefficients of order 15 from 30 resonant satellite orbit analyses. To appear in Proc. Roy. Soc. Lond. A.
Kaula WM (1966). Theory of Satellite Geodesy. Blaisdell, Waltham, Massachusetts.
King-Hele DG, Walker DMC (1982) Evaluation of 15th-order harmonics in the geopotential from analysis of resonant orbits. Proc R Soc Lond. A379:247.
King-Hele DG, Walker DMC (1989) Evaluation of 15th-and 30th-order geopotential harmonic coefficients from 26 resonant satellite orbits. Planet Space Sci 37:805.
King-Hele DG, Walker, DMC (1990) New values for geopotential harmonic coefficients of order 30 and even degree. Planet Space Sci 38:407.
Lerch FJ, Putney BH, Wagner A Klosko S.M. (1981) Goddard Earth Models for oceanographic applications (GEM10B and 10C). Marine Geodesy 5:145.
Lerch FJ, Nerem RS, Putney BH, Felsentreger TL, Sanchez BV, Klosko SM, Patel GB, Williamson RG, Chinn DS, Chan JC, Rachlin KE, Chandler NL, McCarthy JJ, Marshall JA, Luthcke SB, Pavlis DW, Robbins JW, Kapoor S, Pavlis E.C (1992) Geopotential Models of the Earth from satellite tracking, altimeter and surface gravity observations: GEM-T3 and GEM-T3S. NASA Technical Memorandum 104555.
Marsh JG, Lerch FJ, Putney DC, Christodoulides DC, Smith DE, Felsentreger TL, Sanchez,BV, Klosko SM, Pavlis EC, Martin TV, Robbins JW, Williamson RG, Colombo OL, Rowlands DD, Eddy WF, Chandler NL, Rachlin KE, Patel GB, Bhati,S, Chinn DS (1988) A new gravitational model for the Earth from satellite tracking data: GEM-T1. J Geophys Res 93:6169.
Nerem S, et al (1993). Release of JGM-1 and JGM-2 Internet, NASA/GSFC Space Geodesy Branch.
Reigber C, Müller H, Bosch W, Balmino G, Moynot B (1985). GRIM gravity model improvement using Lageos (GRIM3-L1). J Geophys Res, 90:9285.
Schwintzer P, Reigber C, Massmann F, Barth W, Raimondo JC, Gerstl M, Li H, Biancale R, Balmino G, Moynot B, Lemoine JM, Marty JC, Boudon Y, Barlier F (1991) A new Earth gravity field model in support of ERS-1 and SPOT-2: GRIM4-S1/C1. Final report to the German Space Agency (DARA) and the French Space Agency (CNES).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Harwood, N.M., Swinerd, G.G. & King-Hele, D.G. Tesseral harmonic coefficients of order 30 from 14 resonant satellite orbit analyses. Bulletin Géodésique 68, 151–161 (1994). https://doi.org/10.1007/BF00808288
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00808288