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TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw
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TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Jan 18, 2016

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Page 1: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP

M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw

Page 2: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Questions

• Did we get everything out of the CHAMP data?

• Is the time variable gravity field really out of

reach?

• What do we learn for future satellite missions?

2

Page 3: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Previous studies & limitations

• based on the energy balance approach

• two years of GPS-data with 30 s sampling

• no dealiasing products

• no covariance information

3

Degree RMS w.r.t. ITG-GRACE2010s

Page 4: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Processing refinements

Page 5: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Refinements5

r V = Äx ¡ f 3rdBody ¡ f T ides ¡ f Rel ¡ f Grav

Acceleration approach:

• three times the number of observations

• three dimensional observations

Improved GPS positioning:

• 10 s sampling• estimated absolute antenna phase

center model• new IGS standards• …

Prange 2010

Page 6: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Outliers vs. poor observations6

• Typically threshold based outlier detection based on residuals:

?? ?

?

• Localizing outlier detection necessary

• Consider (synthetical) covariance information

Page 7: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Results using outlier detection7

Page 8: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

CHAMP vs. GRACE monthly solutions8

Page 9: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Monthly solutions

Page 10: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Pushing the limits – combination strategies10

Standard case:single month solution

Combining n-month with unit weight

Combining n-month with Bartlett weight

+ Grace A and Grace B

+ Grace A and Grace B

+ Grace A and Grace B

Page 11: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Comparison of combination strategies11

Page 12: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

CHAMP-only solution with Bartlett option12

Page 13: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Adding GRACE …13

Page 14: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Results for CHAMP + GRACE14

Page 15: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Time series of coefficients15

C40

C44

Correlation

Single coefficients

comparison capabilityGRACE – GFZ Rl. 4CHAMP + GRACE

Page 16: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Spatial pattern16

Lat

itu

de

[deg

]Longitude [deg]

CHAMP

-180 -120 -60 0 60 120 180-90

-45

0

45

90

Lat

itu

de

[deg

]

Longitude [deg]

GRACE - GFZ Rl.4

-150 -90 -30 30 90 150-90

-45

0

45

90

[cm]

-20 -15 -10 -5 0 5 10 15 20

Lat

itu

de

[deg

]

Longitude [deg]

CHAMP

-180 -120 -60 0 60 120 180-90

-45

0

45

90

Lat

itu

de

[deg

]

Longitude [deg]

GRACE - GFZ Rl.4

-150 -90 -30 30 90 150-90

-45

0

45

90

[cm]

-20 -15 -10 -5 0 5 10 15 20

Lat

itu

de

[deg

]

Longitude [deg]

CHAMP

-180 -120 -60 0 60 120 180-90

-45

0

45

90

Lat

itu

de

[deg

]

Longitude [deg]

GRACE - GFZ Rl.4

-150 -90 -30 30 90 150-90

-45

0

45

90

[cm]

-20 -15 -10 -5 0 5 10 15 20

Lat

itu

de

[deg

]

Longitude [deg]

CHAMP

-180 -120 -60 0 60 120 180-90

-45

0

45

90

Lat

itu

de

[deg

]

Longitude [deg]

GRACE - GFZ Rl.4

-150 -90 -30 30 90 150-90

-45

0

45

90

[cm]

-20 -15 -10 -5 0 5 10 15 20

Lat

itu

de

[deg

]

Longitude [deg]

CHAMP

-180 -120 -60 0 60 120 180-90

-45

0

45

90

Lat

itu

de

[deg

]

Longitude [deg]

GRACE - GFZ Rl.4

-150 -90 -30 30 90 150-90

-45

0

45

90

[cm]

-20 -15 -10 -5 0 5 10 15 20

Lat

itu

de

[deg

]

Longitude [deg]

CHAMP

-180 -120 -60 0 60 120 180-90

-45

0

45

90

Lat

itu

de

[deg

]

Longitude [deg]

GRACE - GFZ Rl.4

-150 -90 -30 30 90 150-90

-45

0

45

90

[cm]

-20 -15 -10 -5 0 5 10 15 20

October 2003:

February 2004:

Page 17: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Conclusion

• Did we get everything out of the data of CHAMP?

CHAMP still offers a wealth of information

• Is the time variable gravity field really out of

reach?

No, but processing needs further improvements

• What do we learn for future satellite missions?

“Real” covariance information neededIncrease the number of observations

17

Page 18: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP

M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw

THANK YOU

Page 19: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Appendix

Page 20: TOWARDS THE TIME-VARIABLE GRAVITY FIELD FROM CHAMP M. Weigelt, A. Jäggi, L. Prange, W. Keller, N. Sneeuw TexPoint fonts used in EMF. Read the TexPoint.

Time variable signal?20

GRACE – GFZ Rl. 4CHAMP + GRACE