Skip to main content

Satellite clusters for future gravity field missions

  • Conference paper
Gravity, Geoid and Space Missions

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 129))

Abstract

The current missions champ and grace have already contributed drastically to our knowledge of the Earth’s gravity field in terms of accuracy, homogeneity and time- and space-resolution. The future mission goce will further add to that in terms of spatial resolution. Nevertheless, each of these missions has its own limitations. At the same time several geoscience disciplines push for ever higher requirements on spatial resolution, time resolution and accuracy. Future gravity field missions will need to address these requirements.

A number of new technologies may enable these future missions. They include laser tracking and atomic interference. Most likely, a mission that implements such technologies, will make use of the concept of formation flying. This paper will discuss the feasibility of low-Earth satellite clusters. It focuses in particular on the stability of satellite formations under the influence of perturbations by the Earth’s flattening. Depending on initial conditions several types of relative J 2 orbits can be attained.

By interpreting the low-low satellite-to-satellite tracking observable as gradiometry this paper furthermore indicates how satellite clusters may be employed in satellite gravimetry.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • Aguirre-Martinez, M. and Sneeuw, N. (2003). Needs and tools for future gravity measuring missions. Space Science Reviews, 108(1–2):409–416.

    Article  Google Scholar 

  • Bender, P. L., Hall, J. L., Ye, J., and Klipstein, W. M. (2003). Satellite-satellite laser links for future gravity missions. Space Science Reviews, 108(1–2):377–384.

    Article  Google Scholar 

  • Brouwer, D. (1959). Solution of the problem of artificial satellite theory without drag. The Astronomical Journal, 64(1274):378–397.

    Article  Google Scholar 

  • Carter, T. E. (1998). State transition matrix for terminal rendezvous studies: Brief survey and new example. Journal of Guidance, Control and Dynamics, 31(1):148–155.

    Google Scholar 

  • Clohessy, W. H. and Wiltshire, R. S. (1960). Terminal guidance system for satellite rendezvous. Journal of the Aerospace Sciences, 27(9):653–658.

    Google Scholar 

  • Hill, G. W. (1878). Researches in the lunar theory. Am. Journal of Math., I:5–26,129–147,245–260.

    Google Scholar 

  • Humi, M. and Carter, T. (2003). The Clohessy-Wiltshire equations can be modified to include quadratic drag. In Proc. AAS/AIAA Space Flight Mechanics Meeting, number AAS 03-240, Ponce, Puerto Rico. AAS/AIAA.

    Google Scholar 

  • Inalhan, G., Tillerson, M., and How, J. P. (2002). Relative dynamics & control of spacecraft formations in eccentric orbits. Journal of Guidance, Control and Dynamics, 25(1):48–59.

    Article  Google Scholar 

  • Lyddane, R. H. (1963). Small eccentricities or inclinations in the Brouwer theory of the artificial satellite. The Astronomical Journal, 68(8):555–558.

    Article  Google Scholar 

  • McGuirk, J. M., Foster, G. T., Fixler, J. B., Snadden, M. J., and Kasevich, M. A. (2002). Sensitive absolute-gravity gradiometry using atom interferometry. Physical Review A, 65:doi 10.1103/PhysRevA.65.033608.

    Google Scholar 

  • Rummel, R., Reigber, Ch., and Ilk, K.-H. (1978). The use of satellite-to-satellite tracking for gravity parameter recovery. In Proc. European Workshop On Space Oceanography, Navigation And Geodynamics (SONG), volume SP-137, pages 153–161, Schloss Elmau. ESA.

    Google Scholar 

  • Schaub, H. (2004). Relative orbit geometry through classical orbit element differences. Journal of Guidance, Control and Dynamics, 27(5):839–848.

    Google Scholar 

  • Schaub, H. and Alfriend, K. T. (2001). J 2 invariant relative orbits for spacecraft formations. Celestial Mechanics and Dynamical Astronomy, 79(2):77–95.

    Article  Google Scholar 

  • Schaub, H. and Junkins, J. L. (2003). Analytical Mechanics of Space Systems. AIAA Education Series, Reston, VA.

    Google Scholar 

  • Schweighart, S. A. and Sedwick, R. J. (2002). A high fidelity linearized J 2 model for satellite formation flight. Journal of Guidance, Control, and Dynamics, 6(25): 1073–1080.

    Google Scholar 

  • Tapley, B. D., Bettadpur, S., Ries, J. C, Thompson, P. F., and Watkins, M. M. (2004). GRACE measurement of mass variability in the Earth system. Science, 305:503–505.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sneeuw, N., Schaub, H. (2005). Satellite clusters for future gravity field missions. In: Jekeli, C., Bastos, L., Fernandes, J. (eds) Gravity, Geoid and Space Missions. International Association of Geodesy Symposia, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26932-0_3

Download citation

Publish with us

Policies and ethics