animation of spherical harmonicsgps.alaska.edu/jeff/classes/geos602/gravity06.pdf · animation of...
TRANSCRIPT
![Page 1: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/1.jpg)
Animation of Spherical Harmonics
From: http://geodynamics.usc.edu/~becker/teaching-sh.html
![Page 2: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/2.jpg)
How Do we Estimate Gravity Field?
• Terrestrial data – Measurements of surface gravity – Fit spherical harmonic coefficients
• Satellite data – Integrate equations of motion subject to force model – Estimate initial conditions (position+velocity) – Estimate coefficients of (spherical harmonic expansion
of) gravity field
![Page 3: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/3.jpg)
EGM96
• Based on a combination of satellite and terrestrial data
• 70x70 combination solution – Direct satellite altimetry (TOPEX/POSEIDON, ERS-1,
GEOSAT) – Direct tracking of >30 satellites – Surface gravity normals
• N>70 from terrestrial data – Global gravity anomalies
![Page 4: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/4.jpg)
![Page 5: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/5.jpg)
From Wikipedia
![Page 6: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/6.jpg)
EGM96 Geoid
![Page 7: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/7.jpg)
![Page 8: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/8.jpg)
![Page 9: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/9.jpg)
![Page 10: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/10.jpg)
GRACE
• Gravity Recovery And Climate Explorer • A specific gravity change mission • A pair of satellites orbiting closely, as a
gravity gradiometer – Postglacial rebound – Global water cycle – Hydrology/climate change
![Page 11: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/11.jpg)
![Page 12: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of](https://reader031.vdocument.in/reader031/viewer/2022021510/5aa45f487f8b9a2f048c1211/html5/thumbnails/12.jpg)