Skip to main content
SpringerLink
Log in

Geodynamics from the analysis of the mean orbital motion of geodetic satellites

  • Conference paper
Geodesy Beyond 2000

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 121))

Abstract

Secular and long periodic perturbing forces acting on the orbit of an artificial satellite are modelled and included in a semi-analytical theory of the mean orbital motion. Gravitational and nongravitational forces are averaged using analytical transformations and numerical quadratures, respectively. As non-gravitational modelling is the first source of problems arising in the determination of geodynamical parameters, special attention is given to this question. Resulting averaged equations of motion are integrated numerically allowing the visualization and deconelarion of long periodic signals in the classical mean orbital elements. Observed mean orbital elements of LAGEOS (18 years) and Starlette (14 years) have been computed from Satellite Laser Ranging (SLR) measurements which had fast been reduced by classical orbit fits on short arcs. The results of these long arc solutions exhibit variations of geodynamical coefficients at different periods ranging from semi-annual and annual to 9.3 and 18.6 years. Values of coefficients are compared to other results obtained recently in this field.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Balmino, G., J.P. Barriot, N. Valés (1990) Numerical integration techniques revisited,J. of Geodesy, 15, 1–10

    Google Scholar 

  • Berger, C.h., R. Biancale, M. Ill, and F. Barlier (1998) Improvement of the empirical thermospheric model DTM: DTM94 — a comparative review of various temporal variations and prospects in space geodesy applications,J. of Geodesy, 72, 161–178

    Article  Google Scholar 

  • Bruinsma, S.L., P. Exertier, G. Métris, J. Bardina (1997a) Semi-Analytical Theory of Mean Orbital Motion: A New Tool for computing Ephemerides,Proceedings of the 12th Intern. Symp. on Space Flight Dynamics, ESOC, Darmstadt, Germany, 2–6 June, pp. 289–294

    Google Scholar 

  • Bruinsma, S.L. and P. Exertier (1997b) Geodynamic Parameter Estimation using a Mean Motion Theory, American Geophysical Union — Fall Meeting, Poster Session, G31A-18, San Francisco, Dec 8–12

    Google Scholar 

  • Cartwright, D.E., A.C. Edden (1973) Corrected tables of tidal harmonics,Geophys. J. R. Astr. Soc., 33, 253–264

    Google Scholar 

  • Cazenave, A., P. Gegout, G. Ferhat and R. Biancale (1996) Temporal variations of the gravity field from LAGEOS 1 and LAGEOS 2 observations, in “Global Gravity Field and its Temporal Variations”, Proceed. of IAG Symp. G3, Vol. 116, pp. 141–151, Springer-Verlag, New York

    Article  Google Scholar 

  • Chao, B.F. and R.J. Eanes (1995) Global gravitational changes due to atmospheric mass redistribution as observed by the Lageos nodal residual, J. Geophys. Int., 122, 755–764

    Article  Google Scholar 

  • Chao, B.F. and W.P. O’Connor (1988) Global surfacewater-induced seasonal variations in the Earth’s rotation and gravity field,Geophys. J., 94, 263–270

    Article  Google Scholar 

  • Cheng, M.K., B.D. Tapley (1999) Seasonal variations in low degree zonal harmonics of the Earth’s gravity field from satellite laser ranging observations,J. Geophys. Res., 104 (B2), 2667–2681

    Article  Google Scholar 

  • Cheng, M.K., Shum C.K., and B.D. Tapley (1997) Determination of long-term changes in the Earth’s gravity field from satellite laser ranging observations,J. Geophys. Res., 102 (B10), 22377–22390

    Article  Google Scholar 

  • Dong, D., R.S. Gross, J.O. Dickey (1996) Seasonal variations of the Earth’s gravitational field: an analysis of atmospheric pressure, ocean tidal, and surface water excitation,Geophys. Res. Lett., 23 (7), 725–728

    Article  Google Scholar 

  • Douglas, B.C., J.G. Marsh, N.E. Mullins (1973) Mean elements of Geos-1 and Geos-2,Celest. Mechan.,7, 195–204

    Article  Google Scholar 

  • Eanes, R.J. and S.V. Bettadpur (1996) Temporal variability of Earth’s gravitational field from satellite laser ranging observations, in “Global Gravity Field and its Temporal Variations” Proceed. of IAG Symp G3, Vol. 116, pp. 30–41, Springer-Verlag, New York

    Chapter  Google Scholar 

  • Exertier, P., G. Métris, F. Barlier (1996) Mean Orbital Motion of Geodetic Satellites and its Applications,Proceedings of IAU Colloquium 165, Dynamics and Astrometry of Natural and Artificial Celestial Bodies, Poznan, Poland, July 1–5, pp. 333–340

    Google Scholar 

  • Exertier, P. (1995) Temporal Variations of the Geoid,Quadrienal Report of the CNFGC 1991–1994/UGGI1995, Munschy Sauter and Schlich Eds., pp. 43–48

    Google Scholar 

  • Exertier P., G. Métris, Y. Boudon, F. Barlier (1994) Long Term Evolution of Mean Orbital Elements of Artificial Satellites,Geophysical Monograph — IUGG, 82, Vol. 17, 103–108

    Article  Google Scholar 

  • Exertier, P. (1990) Precise determination of mean orbital elements from osculating elements by semi-analytical filtering,Manus. Geod., 15, 115–123

    Google Scholar 

  • Farinella, P., D. Vokrouhlicky, and F. Barlier (1996) The rotation of lageos and its long-term semimajor axis decay: A self-consistent solution,J.Geophys. Res., 101, 17861–17872

    Article  Google Scholar 

  • Gegout, P. and A. Cazenave (1993) Temporal variations of the Earth gravity field for 1985–1989 derived from Lageos,Geophys. J.Int., 114, 347–359

    Google Scholar 

  • Hedin, A.E. (1987) MSIS-86 Thermospheric model,J. Geophys. Res., 92(AS), 4649–4662

    Article  Google Scholar 

  • Kaula, W.M. (1966) Theory of Satellite Geodesy, Blaisdell Pub. Co., Walthan, New-York

    Google Scholar 

  • Lemoine, F.G., S.C. Kenyon, J.K. Factor, R.G. Trimmer, N.K. Pavlis, D.S. Chinn, C.M. Cox, S.M. Klosko, S.B. Luthcke, M.H. Tonence, Y.M. Wang, R.G. Williamson, E.C. Pavlis, R.H. Rapp, T.R. Olson (1998a) The Development of the Joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) Geopotential Model EGM96, NASA/TP-1998-206861, GSFC, Greenbelt, Maryland, July 1998

    Google Scholar 

  • Métris, G., D. Vokroulicky, J.C. Ries, R.J. Eaves (1997) Non gravitational effects and the LAGEOS eccentricity excitations,J. Geophys. Res., 102 (B2), 2711–2729

    Article  Google Scholar 

  • Métris, G. and P. Exertier (1995) Semi-analytical Theory of the Mean Orbital Motion,Astron. Astrophys., 294, 278–286

    Google Scholar 

  • Métris, G., P. Exertier, Y. Boudon, F. Barlier (1993) Long period variations of the motion of a satellite due to non-resonant tesseral harmonics of a gravity potential,Cel. Mechanics, 57, 175–188

    Article  Google Scholar 

  • Nerem, R.S., B.F. Chao, A.Y. Au, J.C. Chan, S.M. Klosko, N.K. Pavlis, R.G. Williamson (1993) Temporal variations of the Earth’s gravitational field from satellite laser ranging to LAGEOS,Geophys. Res. Lett., 20 (7), 595–598

    Article  Google Scholar 

  • Nerem, R.S. and S.M. Klosko (1996) Secular variations of the zonal harmonics and polar motion as geophysical constraints, Global Gravity Field and its Temporal Variations, Int. Assoc. of Geod. Symp., Springer-Verlag, New York, 116, pp. 152–163

    Article  Google Scholar 

  • Scharroo, R., K.F. Wakker, B.A.C. Ambrosius, R. Noomen (1991) On the along-track acceleration of the LAGEOS satellite, J. of Geophys. Res., 96, 729–740

    Article  Google Scholar 

  • Schwiderski, E.W. (1980) Ocean tides, Part 1: Global ocean tidal equationbs,Marine Geodesy,3, 161–207

    Article  Google Scholar 

  • Schwintzer, P. et al. (1998) A New Global Earth Gravity Field Model from Satellite Orbit Perturbations for Support of Geodetic/Geophysical and Oceanographic Satellite Missions, GFZ Sci. Tech. Rep., STR98/18, 34 p.

    Google Scholar 

  • Schwintzer, P., et al. (1997) Long-wavelength global gravity field models: GRIM4S4, GRIM4C4, J. ofGeodesy; 71, 189–208

    Article  Google Scholar 

  • Slabinski, V.J. (1996) A numerical solution for LAGEOS thermal thrust: The rapid-spin case,Celest. Mech., 66, 131–179

    Article  Google Scholar 

  • Tapley, B.D., M.M. Watkins, J.C. Ries, G.W. Davis, R.J. Eanes, S.R. Poole, H.J. Rim, B.E. Schutz and C.K. Shum (1996) The joint Gravity Model 3,J. Geophys. Res., 101 (B12), 28029–28049

    Article  Google Scholar 

  • Tapley, B.D., B.E. Schutz, R.J. Eanes, J.C. Ries, M.M. Watkins (1993) Lageos Laser Ranging Contributions to Geodynamics, Geodesy, and Orbital Dynamics, Geodynamics Series — Contribution of Space Geodesy to Geodynamics: Earth Dynamics, 24, pp. 147–174

    Google Scholar 

  • Trupin, A. and J. Wahr (1990) Spectroscopic analysis of global tide gauge sea level data,Geophys. J. Int., 100, 441–453

    Article  Google Scholar 

  • Wahr, J.M. (1981) Body tides on an elliptical, rotating, elastic and oceanless Earth, Geophys. J. R. Astr. Soc., 64, 677-703

    Google Scholar 

  • Zhu, Y., CK.Shum, M.K. Cheng, B.D. Tapley, B.F. Chao (1996) Long-period variations in gravity field caused by mantle anelasdcity,J. Geophys. Res., 101(B5), 11243–11248

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. départ. CERGA, Observatoire de la Côte D’Azur, av. Copernic, F-06130, Grasse, France

    P. Exertier, S. Bruinsma, G. Métris, Y. Boudon & F. Barlier

Authors
  1. P. Exertier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Bruinsma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Métris
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Y. Boudon
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. F. Barlier
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Geomatics Engineering, University of Calgary, 2500 University Drive NW, T2N 1N4, Calgary, Aberta, Canada

    Klaus-Peter Schwarz

Rights and permissions

Reprints and permissions

Copyright information

© 2000 SPringer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Exertier, P., Bruinsma, S., Métris, G., Boudon, Y., Barlier, F. (2000). Geodynamics from the analysis of the mean orbital motion of geodetic satellites. In: Schwarz, KP. (eds) Geodesy Beyond 2000. International Association of Geodesy Symposia, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59742-8_43

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-59742-8_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64105-3

  • Online ISBN: 978-3-642-59742-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation