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Joint International GSTM and DFG SPP Symposium 15 . October 2007, Potsdam Torsten Mayer-Gürr

ITG-Grace03s: The latest GRACE gravity field solution computed in Bonn. Joint International GSTM and DFG SPP Symposium 15 . October 2007, Potsdam Torsten Mayer-Gürr. Introduction. The GRACE only gravity field solution ITG-Grace03 consists of two parts:

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Joint International GSTM and DFG SPP Symposium 15 . October 2007, Potsdam Torsten Mayer-Gürr

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  1. ITG-Grace03s: The latest GRACE gravity field solution computed in Bonn Joint International GSTM and DFG SPP Symposium 15. October 2007, PotsdamTorsten Mayer-Gürr

  2. Introduction • The GRACE only gravity field solution ITG-Grace03 consists of two parts: • time variations up to spherical harmonics degree n=40, filtered • static gravity field up to sphercial harmonics degree n=180, providing full variance-covariance matrix ... but first a few words about time resolution and aliasing

  3. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm high frequency signal considered by AOD1B dealiasing product time 2. month 1. month

  4. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm high frequency signal considered by AOD1B dealiasing product time 2. month 1. month

  5. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm Estimating monthly meangravity field solutions (GFZ, CSR, JPL) time 2. month 1. month

  6. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm Estimating monthly meangravity field solutions (GFZ, CSR, JPL) time 2. month 1. month

  7. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm aliasing error resulting in stripes Estimating monthly meangravity field solutions (GFZ, CSR, JPL) time 2. month 1. month

  8. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm Estimating 10 days meangravity field solutions (GRGS) time 2. month 1. month

  9. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm increased time resolution: reduced aliasing errorbut reduced redundancy Estimating 10 days meangravity field solutions (GRGS) time 2. month 1. month

  10. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm fitting a smooth function with only a few parameters reduced aliasing errornot too much reduced redundancy time 2. month 1. month

  11. Representation of the time variability schematic picture of the time variations of the gravity field cnm,snm fitting a smooth function with only a few parameters reduced aliasing errornot too much reduced redundancy time 2. month 1. month ITG-Grace03suses Quadratic Splines with 2 parameter per month and potential coeffcient

  12. ITG-Grace03 equivalent water height

  13. ITG-Grace03 (time variable part) • - data: GRACE only (ranges) • method: short arc integral • time span: 57 months (2002-08 to 2007-04) • spatial resolution: spherical harmonics (n=2..40) • time resolution: quadratic splines with 2 nodes per month • filtering: regularization by Kaula type rule weights estimated by Variance Component Estimation (VCE) • reference field: ITG-Grace02s • ocean tides: FES 2004 • dealiasing: AOD1B RL04

  14. Amplitude of Annual Signal (ITG-Grace03s) equivalent water height

  15. Amplitude of Annual Signal (ITG-Grace03s) equivalent water height

  16. Amplitude of Annual Signal (ITG-Grace03s) Amazon time series

  17. Amplitude of Annual Signal (ITG-Grace03s) Amazon time series ITG GFZ CSR

  18. The static gravity field ITG-Grace03s

  19. ITG-Grace03s • - data: GRACE only (ranges) • method: short arc integral, normalequations • time span: 57 months (2002-08 to 2007-04) • spatial resolution: spherical harmonics (n=2...180) • reference field: ITG-Grace02s • ocean tides: FES 2004 • dealiasing: AOD1B RL04

  20. Differences to EGM96 (n=150) 4.75 years of GRACE data accumulated to one solution

  21. Differences to EGM96 (n=150) ITG-Grace03 solution with considering the time variable part

  22. Static gravity field signal formal errors

  23. Static gravity field signal formal errors

  24. Static gravity field signal differences formal errors

  25. Static gravity field reducing time variations here (max n=40) results in large differences In higher resolution parts (stripes)

  26. Static gravity field EIGEN-GL04C

  27. ITG-Grace03 • Results will be published in the next two weeks on • http://www.geod.uni-bonn.de/itg-grace03.html • the time variable part (2002-08 to 2007-04) • as quadraric spline interpolation • as monthly means (57 months) • the static part • spherical harmonics up to degree 180 • Variance information • Full variance-covariance Matrix(packed 5.7 GB)

  28. Full variance-covariance matrix sort by order m -> <- sort by order m ITG-Grace03 • Results will be published in the next two weeks on • http://www.geod.uni-bonn.de/itg-grace03.html • the time variable part (2002-08 to 2007-04) • as quadraric spline interpolation • as monthly means (57 months) • the static part • spherical harmonics up to degree 180 • Variance information • Full variance-covariance Matrix(packed 5.7 GB)

  29. ITG-Grace03 • Results will be published in the next two weeks on • http://www.geod.uni-bonn.de/itg-grace03.html • the time variable part (2002-08 to 2007-04) • as quadraric spline interpolation • as monthly means (57 months) • the static part • spherical harmonics up to degree 180 • Variance information • Full variance-covariance Matrix(packed 5.7 GB)

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