animation of spherical harmonicsgps.alaska.edu/jeff/classes/geos602/gravity06.pdf · animation of...

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Animation of Spherical Harmonics From: http://geodynamics.usc.edu/~becker/teaching-sh.html

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Page 1: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of

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

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

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
Page 5: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of

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

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
Page 8: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of
Page 9: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of
Page 10: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of

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
Page 12: Animation of Spherical Harmonicsgps.alaska.edu/jeff/Classes/GEOS602/Gravity06.pdf · Animation of Spherical Harmonics ... – Fit spherical harmonic coefficients ... • A pair of