Harmonic analysis of the Earth's gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP

Journal of Geodesy

Volumn 77, Issue 5-6, 2003, Pages 257-278

  Reubelt, T ^a   Austen, G ^a   Grafarend, E W ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

GPS tracked low earth orbiting satellites; Newton interpolation; Orbit analysis; Space gravity spectroscopy; Spherical harmonics

Indexed keywords

GEODESY; GPS; GRAVITY; ORBIT DETERMINATION; SATELLITE;

EID: 0141576786     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-003-0322-9     Document Type: Article

References (38)

1. Beichelt F (1997) Stochastische Prozesse für Ingenieure (Stochastic processes for engineers). B.G. Teubner, Stuttgart
2. Belikov MV, Taybatorov KA (1992) An efficient algorithm for computing the Earth's gravitational potential and its derivatives at satellite altitudes. Manuscr Geod 17:104 116
3. Engeln-Müllges G, Reutter F (1987) Numerische Mathematik für Ingenieure (Numerical mathematics for engineers). BI Wissenschaftsverlag Mannheim
4. European Space Agency (1999) Gravity field and steady-state ocean circulation mission. ESA SP-1233(l), ESA Publications Division, Reports for Mission Selection, ESTEC, Noordwijk
5. GeoForschungsZentrum (2000) CHAMP - Der Blick in das Innere der Erde. GeoForschungsZentrum, Potsdam
6. Gerstl M (1999) Bezugssysteme in der Satellitengeodäsie (Reference systems in satellite geodesy). In: 3. DFG-Rundgespräch zum Thema Bezugssysteme, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, München, Rep A 116, pp 110-119
7. Grafarend E, Schaffrin B (1993) Ausgleichungsrechnung in linearen Modellen (Adjustment theory in linear models). BI Wissenschaftsverlag, Mannheim
8. Grafarend E, Varníek P (1980) On the weight estimation in leveling. Rep NOS 86, NGS 17, National Oceanic and Atmospheric Administration (NOAA), Rockville, MD
9. Grafarend E, Engels J, Varga P (2000) The temporal variation of the spherical and Cartesian multipoles of the gravity field: the generalized MacCullagh representation. J Geod 74:519-530
10. Gruber T, Bode A, Reigber Ch, Schwintzer P, Balmino G, Bancale R, Lemoine JM (2000) GRIM5-C1: combination solution of the global gravity field to degree and order 120. Geophys Res Lett 27:4005-4008
11. Hanke M, Hansen PC (1993) Regularization methods for large-scale problems. Surv Math Ind 3:253-315
12. Hartmann T, Wenzel HG (1995a) The HW95 tidal potential catalogue. Geophys Res Lett 22(24):3553-3553
13. Hartmann T, Wenzel HG (1995b) The HW95 tidal potential catalogue, Bull d'Info Mar Terrest 123:9278-9301
14. Jekeli C, Garcia R (1997) GPS phase accelerations for moving-base gravimetry. J Geod 71:630-639
15. Jet Propulsion Laboratory (1999) GRACE science and mission requirements document, 327-200, Rev. B. Jet Propulsion Laboratory, Pasadena, CA
16. Kaula W (1966) Theory of satellite geodesy. Blaisdell, Waltham, MA
17. King-Hele D (1987) Satellite orbits in an atmosphere: theory and applications. Blackie, Glasgow
18. Koop R, Stelpstra D (1989) On the computation of the gravitational potential and its first and second order derivatives. Manuscr Geod 14:373-383
19. Lemoine FG, Kenyon SC, Factor JK, Trimmer RG, Pavlis NK, Chinn DS, Cox CM, Klosko SM, Luthcke SB, Torrence MH, Wang YM, Williamson RG, Pavlis EC, Rapp RH, Olson TR (1998) The NASA GSFC and NIMA joint geopotential model, NASA/TP-1998-206861, NASA Goddard Space Flight Center, Greenbelt, MD
20. McCarthy DD (1992) IERS Standards 1992. IERS Tech note 13, Central Bureau or International Earth Rotation Service, Observatoire de Paris, Paris
21. McCarthy DD (1996) IERS Conventions 1996. IERS Tech note 21, Observatoire de Paris, Paris
22. Michalak G, Baustert G, Koenig R, Reigber Ch (2003) CHAMP rapid science orbit determination - status and future prospects. In: Reigber C, Lühr H, Schwintzer P (eds) First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies. Springer, Berlin Heidelberg New York, pp 98-103
23. Richter B (1986) Entwurf eines nichtrelativistischen geodätisch-astronomischen Bezugssystems (Design of a non-relativistic geodetic-astronomical reference system). Rep C 322, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, München
24. Schäfer C (2001) Space gravity spectroscopy - The sensitivity analysis of GPS-tracked satellite missions (case study CHAMP). Rep C 534, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, Report C 534, München
25. Seidelmann PK (1982) 1980 IAU nutation: the final report of the IAU working group on nutation. Celest Mech 27:79-106
26. Seidelmann PK (1992) Explanatory supplement to the astronomical almanac. University Science Books, Mill Valley, CA
27. Sillard P, Altamimi Z, Boucher C (1998) The ITRF96 realization and its associated velocity field. Geophys Res Lett 25:3223-3226
28. Svehla D, Rothacher M (2002) Kinematic orbit determination of LEOs based on zero- or double-difference algorithms using simulated and real SST data. In: Adam J, Schwarz KP (eds) IAG 2001 Scientific Assembly, Budapest, Vistas for Geodesy in the New Millenium, IAG vol. 125. Springer, Berlin Heidelberg New York, pp 322-328
29. Svehla D, Rothacher M (2003) CHAMP double-difference kinematic orbit with ambiguity resolution. In: Reigber C, Lühr H, Schwintzer P (eds) First CHAMP Mission Results for Gravity, Magnetic and Atmospheric Studies. Springer, Berlin Heidelberg New York, pp 70-77
30. Svehla D, Rothacher M (accepted) Kinematic and reduced-dynamic precise orbit determination of low Earth orbiters. Paper presented at EGS XXVII Assembly, Nice. Submitted to Adv Geosci
31. Tikhonov AN, Arsenin VY (1977) Solutions of ill-posed problems. Wiley, New York
32. Tikhonov AN, Goncharsky AV, Stepanov VV, Yagola AG (1995) Numerical methods for the solutions of ill-posed problems. Kluwer, Dordrecht
33. Wahr J (1995) Earth tides. In: Ahrens TJ (ed) Global Earth Physics: A handbook of physical constants. American Geophysical Union, Washington, pp 40-45
34. Wimmer H (1981) Ein Beitrag zur Gewichtsoptimierung geodätischer Netze. Rep C 269, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, München
35. Xu P (1992) The value of minimum norm estimation of geopotential fields. Geophys J Int 111: 170-178
36. Xu P (1998) Truncated SVD methods for discrete linear ill-posed problems. Geophys J Int 135:505-514
37. Xu P, Rummel R (1994a) Generalized ridge regression with applications in determination of potential fields. Manuscr Geod 20:8-20
38. Xu P, Rummel R (1994b) A simulation study of smoothness methods in recovery of regional gravity fields. Geophys J Int 127:472-486