Add to ORKGThe gravitational potential of an ellipsoid of revolution can be expressed by a sum of low degree terms in ellipsoidal harmonics. However, the derivation methods which have already been introduced are somewhat complicated. This short article introduces a simpler method using a series of the ellipsoidal harmonic expansions.楕円体の引力ポテンシャルのスフェロイダル座標による取扱いはMOLODENSKII et al.(1962)やHEISKANEN and MORITZ(1967)に体系的記載がある.しかしこれらの数学的導出法はかなり繁雑である.ところが,スフェロイダル調和関数によって2点間の距離の逆数を展開したHOBSON(1931)の式(本文中(4)式)を用いると,数学的記述がかなり簡単化されるのみならず,その物理学的意味が判りやすい
One of the most important stages in the computation of a global geopotential model is the computatio...
第8回極域科学シンポジウム/特別セッション：[S] 先端的技術で切り開く極域科学 －極域観測における計測、分析、解析の最前線－12月7日（木）国立極地研究所 2階大会議室The Eighth Symp...
Simplified techniques for high-degree spherical harmonic synthesis are extended to include gravitati...
The gravitational potential of an ellipsoid of revolution can be expressed by a sum of low degree te...
Theory of the figures of equilibrium was developed actively during XIX century when causes making th...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The commonly used representation of potential as a truncated series of spherical harmonics leads to ...
In this paper, the core idea of the conversion relationship between the ellipsoidal harmonic coeffic...
We st udy the act ion S = p -gf -R + 2( Ñ F ) 2 + e ± 2 a F Fm n F m n g d 4 x, t his act ion repres...
Theory of the figures of equilibrium was developed actively during XIX century when causes making th...
Forward gravity modeling in the spectral domain traditionally relies on spherical approximation. How...
A closed-form expression is obtained for the density of a simple layer, equipotential to an oblate l...
A Laplace series of spherical harmonics Yn(θ, λ) is the most common representation of the gravitatio...
A surface spherical harmonic expansion of gravity anomalies with respect to a geodetic reference ell...
We present a variant of the Meissl scheme to relate surface spherical harmonic coefficients of the d...
One of the most important stages in the computation of a global geopotential model is the computatio...
第8回極域科学シンポジウム/特別セッション：[S] 先端的技術で切り開く極域科学 －極域観測における計測、分析、解析の最前線－12月7日（木）国立極地研究所 2階大会議室The Eighth Symp...
Simplified techniques for high-degree spherical harmonic synthesis are extended to include gravitati...
The gravitational potential of an ellipsoid of revolution can be expressed by a sum of low degree te...
Theory of the figures of equilibrium was developed actively during XIX century when causes making th...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The commonly used representation of potential as a truncated series of spherical harmonics leads to ...
In this paper, the core idea of the conversion relationship between the ellipsoidal harmonic coeffic...
We st udy the act ion S = p -gf -R + 2( Ñ F ) 2 + e ± 2 a F Fm n F m n g d 4 x, t his act ion repres...
Theory of the figures of equilibrium was developed actively during XIX century when causes making th...
Forward gravity modeling in the spectral domain traditionally relies on spherical approximation. How...
A closed-form expression is obtained for the density of a simple layer, equipotential to an oblate l...
A Laplace series of spherical harmonics Yn(θ, λ) is the most common representation of the gravitatio...
A surface spherical harmonic expansion of gravity anomalies with respect to a geodetic reference ell...
We present a variant of the Meissl scheme to relate surface spherical harmonic coefficients of the d...
One of the most important stages in the computation of a global geopotential model is the computatio...
第8回極域科学シンポジウム/特別セッション：[S] 先端的技術で切り開く極域科学 －極域観測における計測、分析、解析の最前線－12月7日（木）国立極地研究所 2階大会議室The Eighth Symp...
Simplified techniques for high-degree spherical harmonic synthesis are extended to include gravitati...