The role of orbit errors in processing of satellite altimeter data

Schrama, Ernst

doi:10.54419/qc924k

Cited by 59 publications

(9 citation statements)

References 51 publications

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“…However, it appears that for nearly circular orbits the index g can be restricted, with sufficient accuracy, to three values: -1 < I 1 l, cf. (Schrama, 1989) or (Wagner, 1989). In spite of the fact that inclusion of these eccentricity functions would not influence our analysis method fundamentally, we leave them out for simplicity.…”

Section: Colombo's Methods Of Error Analysismentioning

confidence: 99%

“…Upon keeping the harmonic coefficients e1* and 31* from eq. 3.14 as coefficients in the potential expansion, but changing from r,0,A to r,I,u,Q,M (we assume the orbit is (nearly) circular, so e E 0) we obtain: (Schrama, 1989) ee: {l -0G subscript "et' referring to "earth" J 06 earth's argument of longitude .…”

Section: Orbitalcoordinatesmentioning

confidence: 99%

“…3.18 (truncated at some maximum degree .L) in the following manner, cf. (Schrama, 1989) (Schrama, ibid.). The Ap,n and Bp* coefficients are the so-called lumped coefficients, see (Schrama, ibid.…”

Section: Orbitalcoordinatesmentioning

confidence: 99%

“…Even if one makes optimal use of the symmetry properties of these functions, cf. (Schrama, 1989), the largest part of CPU time goes to the recursive computation of the Legendre functions. The FFT is relatively fast (as it should be, considering its name).…”

Section: Sorne Cornputational Aspectsmentioning

confidence: 99%

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Global gravity modelling using satellite garvity gradiometry

Koop¹

1993

Publications on Geodesy

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Introduction 2 Satellite gradiometry: principles and applications 2.t Principle of satellite gradiometry 2.2 Applications . 2.3 Aristoteles 3 The gradient tensor and its series representation in different coordinate systems 3.1 Potential derivatives in different coordinate systems 3.1.1 Algorithm 3.1.2 Transformation formulae for the potential derivatives . 3.2 Series expansion of the potential and its derivatives 3.

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Section: Colombo's Methods Of Error Analysismentioning

confidence: 99%

Section: Orbitalcoordinatesmentioning

confidence: 99%

Section: Orbitalcoordinatesmentioning

confidence: 99%

Section: Sorne Cornputational Aspectsmentioning

confidence: 99%

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Global gravity modelling using satellite garvity gradiometry

Koop¹

1993

Publications on Geodesy

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“…A numerical evaluation of Legendre polynomials and functions up to high degree and order is most easily done using recursive relationships. Starting from the recursive formulas for the Legendre functions the equivalent recursive formulas for the first and second order derivatives are obtained by simple differentiation with respect to the argument e. We find for the recursive relat ionships: compare also (Schrama, 1989;p. 16 and 71).…”

Section: Points Alongmentioning

confidence: 97%

Spherical harmonic analysis of satellite gradiometry

Rummel¹,

Gelderen²,

Koop³

et al. 1993

Publications on Geodesy

119

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in a boundary 2.1, 2. 11 2.1.7 2.27 2.32 's: examples. 2.37 2.50 value problem approach? 2.2. The observational model for spectral estimation from block averages.2.3. The least squares approach.2.4. The quadrature formulas approach.2.5. From b.v.p.'s to quadrature formulas.2.6. The numerical solution of gradiometric b.v.p.2.7. How to deal with the overdetermined b.v.p.'s.3. Timewise Approach.3.1. Principles of timewise method.3.2. Lumped coefficient method.3.3. Error analysis of gradiometric mission scenarios.3.4. Case studies of gradiometric error propagation.3.4. 1. Bandwidth limitation.3. 4.2. Non-polar orbit.4. Spacewise Versus Timewise -A Comparison.Appendices.Coordinate systems.Legendre recursions. Incl ination functions.A-3.1. An explicit expression for inclination functions.A-3.2. Related inclination functions A-3.3. Computation of inclination functions.

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Marine Geoid from Satellite Altimeter Data

Fu-qing¹,

Zhang²,

Shi³

et al. 2003

Chinese J of Geophysics

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We compute the deflections of the vertical line over sea from the altimeter data using simple difference, which reduces effectively the influence of the Dynamic Ocean Topography (DOT) and systematic residuals on the deflections of the vertical line. Then, we present a covariance function to approach precisely the marine geoid from the deflections of the vertical line in view of the homogeneity and isotropy of the covariance functions of the anomalous potenial elements. And the determination of the geoid makes it possible to separate precisely the DOT from the sea surface height (SSH). Finally, the global marine geoid and DOT are predicted from the Topex/Poseidon, ERS-1/2 and Geosat altimeter data, which prove that the above-mentioned methods are scientific and reasonable.

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The role of orbit errors in processing of satellite altimeter data

Abstract: 8.3.1Alternative crossover minimization schemes 8.3.2 Some remarks on orbit errors and geographic correlation . . . 9 Conclusions and recommendations 149 A Long periodic resonant effects in near circular trajectories 154 B Optimal correlation of spectra 159 Bibliography 161 vii

Cited by 59 publications

References 51 publications

Global gravity modelling using satellite garvity gradiometry

Global gravity modelling using satellite garvity gradiometry

Spherical harmonic analysis of satellite gradiometry

Marine Geoid from Satellite Altimeter Data

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