Numerical methods for Data Assimilation

Physical problem

GOCE mission

GOCE: ESA project (Gravity field and steady-state Ocean Circulation)

goce

  • satellite scheduled for launch in 2006

  • will provide a model of the Earth's gravity field and of the Geoid with an unprecedented accuracy

GOCE mission

  • gravitational potential represented by 90; 000 spherical harmonic coefficients up to degree 300

  • gravity gradients come from gravity gradiometry combined with SST using GPS

  • Gravitational potential of the Earth (spherical coordinates):

  • G = gravitational constant, M = Earth's mass, R = Earth's reference radius

  • objective: determine Clm and Slm as accurately as possible

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