Theory of Satellite Geodesy: Applications of Satellites to Geodesy

By W. M. Kaula. 2000

393 citations recorded by the source corpus.

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In Aerospace Engineering

Citations in the corpus

Filling the Data Gaps Within GRACE Missions Using Singular Spectrum Analysis (2021, result): “Because a growing proportion of signal variability is discarded as the degree increases, the amplitude per degree curve of the SSA-filling result keeps decreasing, which is consistent with the second Kaula's rule of thumb (Kaula, 2013; Sasgen et al., 2006).”
Gravity and Topography of the Terrestrial Planets (2015, methodology): “While the global values of the potential coefficients are generally unreliable beyond this degree, it should be noted that the spatial resolution of the gravity field is a strong function of position on the surface. Discontinuities in the error spectrum are artifacts of solving for the potential coe”
Tidal torques: a critical review of some techniques (2008, methodology): “…sin ǫ 220q + O(e 6/Q) + O(i2/Q) (79a) = 3 2 G M2sat R 5 a−6 k2 2 ∑ q=−2 G 2 20q ǫ 220q + O(e 6/Q) + O(i2/Q) + O(Q−3) , (79b) where, according to the tables (Kaula 1966), G2 20 −2 = 0 , G2 20 −1 = e2 4 − e 4 16 + O(e6) , G2 200 = 1 − 5 e2 + 63 8 e4 + O(e6) , (80) G2 201 = 49 4 e2 − 861 16 e4 +…”
The Physics of Bodily Tides in Terrestrial Planets, and the Appropriate Scales of Dynamical Evolution (2007, neutral): “can be equivalently rewritten as: ~f = f̂ r δ = r ∆t 2 χ f̂ , (22)”
Interior composition, structure and dynamics of the Galilean satellites (2004, methodology): “Alternatively, we use a truncated form of the standard Legendre expansion of the potential function V in spherical harmonics (Kaula 1966), V (r, φ, λ) = GM r [1 + ∞ ∑ n=2 n ∑ m=0 ( R r )n (Cnm cos mλ +Snm sin mλ)Pnm(sin φ)] (13.2.2) The spherical coordinates (r, φ, λ) are referred to the center of…”
Localized spectral analysis on the sphere (2005, background): “(4) is commonly used in the geodesy community (e.g. Kaula 2000), and with these definitions each individual harmonic possesses unit power.”