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Titre :	Geodetic boundary value problems 2
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1986
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 89
Importance :	221 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] gravimétrie [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Numéro de notice :	39875B
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57741

Voir aussi

Geodetic boundary value problems 3 / K. Arnold (1989)

Public

Titre :	Geodetic boundary value problems 3
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1989
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 97
Importance :	200 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng) Allemand (ger) Russe (rus)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] identité de Green [Termes IGN] intégrale de Stokes [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Résumé :	(Auteur) The author extends and completes his investigations about the solution of the boundary value problem of Molodenskij found by means of the identity of Green during the last 30 years. These derivations are developed here in a clear, comprehensive and systematic order. It is the inversion of the fundamental equation of physical geodesy which is treated here. The mapping between the telluroid and the Earth's surface happens by vertical point shifts. The final result allows the calculation of the height anomalies exact to 1 cm ; thus, it is usefull for the determination of the decimeter- and centimeter- geoid. The solution has the shape of a closed expression. It does not imply series developments which have a dubious convergence or which do not allow to evaluate the amount of the residual term of it. All the here introduced series developments have a quick, clear and guaranteed convergence. Iteration procedures are avoided. The final result expresses the height anomalies or the perturbation potential at the Earth's surface in terms of the free-air anomalies of the gravity at the Earth's surface. The main term of the solution is the Stokes integral which has the Faye - anomalies in the integrand. These anomalies consist in the sum of the free-air anomalies and the plane terrain reduction of the gravity. Further, these Faye - anomalies are supplemented by a small and smoothed term which can be disregarded in most cases, which has positive and negative amounts, and which implies the vertical gradient of the refined Bouguer - anomalies. Further on, this main term has to be supplemented by the addition of 3 or 4 relative small terms. only one of them can reach about 50 em in extreme cases. The final solution of the boundary value problem has a shape which is distinguished by the special property of the additives that a clear separation between the terms linear and quadratic in the heights takes place. The terms quadratic in the heights can be neglected for test points situated in plane countries or in low mountain ranges. Only for test points situated in high mountains, the terms quadratic in the heights can be of interest. Even in this case, these terms have only relative small amounts. and the integration area can be restricted on the near surroundings of the test point, to a distance of not more than some tens of kilometers. The final solution of the boundary value problem is convenient for routine applications, and it meets all theoretical requirements. The physical boundary values are not subsided downwards from the surface to the sphere, but the geometrical terms come upwards from the sphere to the surface.
Numéro de notice :	39875C
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57742

Voir aussi

Geodetic boundary value problems 4 / K. Arnold (1990)

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01C	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02C	30.42	Livre	Centre de documentation	Géodésie	Disponible

Geodetic boundary value problems 4 / K. Arnold (1990)

Public

Titre :	Geodetic boundary value problems 4
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1990
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 114
Importance :	188 p.
Format :	15 x 21 cm
Note générale :	Bibliographie
Langues :	Anglais (eng)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] gravimétrie [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Numéro de notice :	39875D
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57743

Voir aussi

Geodetic boundary value problems 3 / K. Arnold (1989)

Public

Titre :	Geodetic boundary value problems 3
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1989
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 97
Importance :	200 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng) Allemand (ger) Russe (rus)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] identité de Green [Termes IGN] intégrale de Stokes [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Résumé :	(Auteur) The author extends and completes his investigations about the solution of the boundary value problem of Molodenskij found by means of the identity of Green during the last 30 years. These derivations are developed here in a clear, comprehensive and systematic order. It is the inversion of the fundamental equation of physical geodesy which is treated here. The mapping between the telluroid and the Earth's surface happens by vertical point shifts. The final result allows the calculation of the height anomalies exact to 1 cm ; thus, it is usefull for the determination of the decimeter- and centimeter- geoid. The solution has the shape of a closed expression. It does not imply series developments which have a dubious convergence or which do not allow to evaluate the amount of the residual term of it. All the here introduced series developments have a quick, clear and guaranteed convergence. Iteration procedures are avoided. The final result expresses the height anomalies or the perturbation potential at the Earth's surface in terms of the free-air anomalies of the gravity at the Earth's surface. The main term of the solution is the Stokes integral which has the Faye - anomalies in the integrand. These anomalies consist in the sum of the free-air anomalies and the plane terrain reduction of the gravity. Further, these Faye - anomalies are supplemented by a small and smoothed term which can be disregarded in most cases, which has positive and negative amounts, and which implies the vertical gradient of the refined Bouguer - anomalies. Further on, this main term has to be supplemented by the addition of 3 or 4 relative small terms. only one of them can reach about 50 em in extreme cases. The final solution of the boundary value problem has a shape which is distinguished by the special property of the additives that a clear separation between the terms linear and quadratic in the heights takes place. The terms quadratic in the heights can be neglected for test points situated in plane countries or in low mountain ranges. Only for test points situated in high mountains, the terms quadratic in the heights can be of interest. Even in this case, these terms have only relative small amounts. and the integration area can be restricted on the near surroundings of the test point, to a distance of not more than some tens of kilometers. The final solution of the boundary value problem is convenient for routine applications, and it meets all theoretical requirements. The physical boundary values are not subsided downwards from the surface to the sphere, but the geometrical terms come upwards from the sphere to the surface.
Numéro de notice :	39875C
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57742

Voir aussi

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01C	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02C	30.42	Livre	Centre de documentation	Géodésie	Disponible

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01D	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02D	30.42	Livre	Centre de documentation	Géodésie	Disponible

Exemplaires(1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01B	30.42	Livre	Centre de documentation	Géodésie	Disponible

Public

Titre :	Geodetic boundary value problems 3
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1989
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 97
Importance :	200 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng) Allemand (ger) Russe (rus)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] identité de Green [Termes IGN] intégrale de Stokes [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Résumé :	(Auteur) The author extends and completes his investigations about the solution of the boundary value problem of Molodenskij found by means of the identity of Green during the last 30 years. These derivations are developed here in a clear, comprehensive and systematic order. It is the inversion of the fundamental equation of physical geodesy which is treated here. The mapping between the telluroid and the Earth's surface happens by vertical point shifts. The final result allows the calculation of the height anomalies exact to 1 cm ; thus, it is usefull for the determination of the decimeter- and centimeter- geoid. The solution has the shape of a closed expression. It does not imply series developments which have a dubious convergence or which do not allow to evaluate the amount of the residual term of it. All the here introduced series developments have a quick, clear and guaranteed convergence. Iteration procedures are avoided. The final result expresses the height anomalies or the perturbation potential at the Earth's surface in terms of the free-air anomalies of the gravity at the Earth's surface. The main term of the solution is the Stokes integral which has the Faye - anomalies in the integrand. These anomalies consist in the sum of the free-air anomalies and the plane terrain reduction of the gravity. Further, these Faye - anomalies are supplemented by a small and smoothed term which can be disregarded in most cases, which has positive and negative amounts, and which implies the vertical gradient of the refined Bouguer - anomalies. Further on, this main term has to be supplemented by the addition of 3 or 4 relative small terms. only one of them can reach about 50 em in extreme cases. The final solution of the boundary value problem has a shape which is distinguished by the special property of the additives that a clear separation between the terms linear and quadratic in the heights takes place. The terms quadratic in the heights can be neglected for test points situated in plane countries or in low mountain ranges. Only for test points situated in high mountains, the terms quadratic in the heights can be of interest. Even in this case, these terms have only relative small amounts. and the integration area can be restricted on the near surroundings of the test point, to a distance of not more than some tens of kilometers. The final solution of the boundary value problem is convenient for routine applications, and it meets all theoretical requirements. The physical boundary values are not subsided downwards from the surface to the sphere, but the geometrical terms come upwards from the sphere to the surface.
Numéro de notice :	39875C
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57742

Voir aussi

Geodetic boundary value problems 2 / K. Arnold (1986)

Geodetic boundary value problems 4 / K. Arnold (1990)

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01C	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02C	30.42	Livre	Centre de documentation	Géodésie	Disponible

Public

Titre :	Geodetic boundary value problems 4
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1990
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 114
Importance :	188 p.
Format :	15 x 21 cm
Note générale :	Bibliographie
Langues :	Anglais (eng)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] gravimétrie [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Numéro de notice :	39875D
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57743

Voir aussi

Geodetic boundary value problems 2 / K. Arnold (1986)

Public

Titre :	Geodetic boundary value problems 2
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1986
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 89
Importance :	221 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] gravimétrie [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Numéro de notice :	39875B
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57741

Voir aussi

Geodetic boundary value problems 3 / K. Arnold (1989)

Public

Titre :	Geodetic boundary value problems 3
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1989
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 97
Importance :	200 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng) Allemand (ger) Russe (rus)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] identité de Green [Termes IGN] intégrale de Stokes [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Résumé :	(Auteur) The author extends and completes his investigations about the solution of the boundary value problem of Molodenskij found by means of the identity of Green during the last 30 years. These derivations are developed here in a clear, comprehensive and systematic order. It is the inversion of the fundamental equation of physical geodesy which is treated here. The mapping between the telluroid and the Earth's surface happens by vertical point shifts. The final result allows the calculation of the height anomalies exact to 1 cm ; thus, it is usefull for the determination of the decimeter- and centimeter- geoid. The solution has the shape of a closed expression. It does not imply series developments which have a dubious convergence or which do not allow to evaluate the amount of the residual term of it. All the here introduced series developments have a quick, clear and guaranteed convergence. Iteration procedures are avoided. The final result expresses the height anomalies or the perturbation potential at the Earth's surface in terms of the free-air anomalies of the gravity at the Earth's surface. The main term of the solution is the Stokes integral which has the Faye - anomalies in the integrand. These anomalies consist in the sum of the free-air anomalies and the plane terrain reduction of the gravity. Further, these Faye - anomalies are supplemented by a small and smoothed term which can be disregarded in most cases, which has positive and negative amounts, and which implies the vertical gradient of the refined Bouguer - anomalies. Further on, this main term has to be supplemented by the addition of 3 or 4 relative small terms. only one of them can reach about 50 em in extreme cases. The final solution of the boundary value problem has a shape which is distinguished by the special property of the additives that a clear separation between the terms linear and quadratic in the heights takes place. The terms quadratic in the heights can be neglected for test points situated in plane countries or in low mountain ranges. Only for test points situated in high mountains, the terms quadratic in the heights can be of interest. Even in this case, these terms have only relative small amounts. and the integration area can be restricted on the near surroundings of the test point, to a distance of not more than some tens of kilometers. The final solution of the boundary value problem is convenient for routine applications, and it meets all theoretical requirements. The physical boundary values are not subsided downwards from the surface to the sphere, but the geometrical terms come upwards from the sphere to the surface.
Numéro de notice :	39875C
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57742

Voir aussi

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01C	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02C	30.42	Livre	Centre de documentation	Géodésie	Disponible

Exemplaires(1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01B	30.42	Livre	Centre de documentation	Géodésie	Disponible

Geodetic boundary value problems 3 / K. Arnold (1989)

Public

Titre :	Geodetic boundary value problems 3
Type de document :	Monographie
Auteurs :	K. Arnold, Auteur
Editeur :	Postdam : Zentralinstitut für Physik der Erde ZPE
Année de publication :	1989
Collection :	Veröffentlichungen des Zentralinstituts für Physik der Erde, ISSN 0514-8790 num. 97
Importance :	200 p.
Format :	21 x 30 cm
Note générale :	Bibliographie
Langues :	Anglais (eng) Allemand (ger) Russe (rus)
Descripteur :	[Vedettes matières IGN] Géodésie physique [Termes IGN] identité de Green [Termes IGN] intégrale de Stokes [Termes IGN] problème des valeurs limites
Index. décimale :	30.42 Gravimétrie
Résumé :	(Auteur) The author extends and completes his investigations about the solution of the boundary value problem of Molodenskij found by means of the identity of Green during the last 30 years. These derivations are developed here in a clear, comprehensive and systematic order. It is the inversion of the fundamental equation of physical geodesy which is treated here. The mapping between the telluroid and the Earth's surface happens by vertical point shifts. The final result allows the calculation of the height anomalies exact to 1 cm ; thus, it is usefull for the determination of the decimeter- and centimeter- geoid. The solution has the shape of a closed expression. It does not imply series developments which have a dubious convergence or which do not allow to evaluate the amount of the residual term of it. All the here introduced series developments have a quick, clear and guaranteed convergence. Iteration procedures are avoided. The final result expresses the height anomalies or the perturbation potential at the Earth's surface in terms of the free-air anomalies of the gravity at the Earth's surface. The main term of the solution is the Stokes integral which has the Faye - anomalies in the integrand. These anomalies consist in the sum of the free-air anomalies and the plane terrain reduction of the gravity. Further, these Faye - anomalies are supplemented by a small and smoothed term which can be disregarded in most cases, which has positive and negative amounts, and which implies the vertical gradient of the refined Bouguer - anomalies. Further on, this main term has to be supplemented by the addition of 3 or 4 relative small terms. only one of them can reach about 50 em in extreme cases. The final solution of the boundary value problem has a shape which is distinguished by the special property of the additives that a clear separation between the terms linear and quadratic in the heights takes place. The terms quadratic in the heights can be neglected for test points situated in plane countries or in low mountain ranges. Only for test points situated in high mountains, the terms quadratic in the heights can be of interest. Even in this case, these terms have only relative small amounts. and the integration area can be restricted on the near surroundings of the test point, to a distance of not more than some tens of kilometers. The final solution of the boundary value problem is convenient for routine applications, and it meets all theoretical requirements. The physical boundary values are not subsided downwards from the surface to the sphere, but the geometrical terms come upwards from the sphere to the surface.
Numéro de notice :	39875C
Affiliation des auteurs :	non IGN
Thématique :	POSITIONNEMENT
Nature :	Monographie
Permalink :	https://documentation.ensg.eu/index.php?lvl=notice_display&id=57742

Voir aussi

Geodetic boundary value problems 2 / K. Arnold (1986)

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01C	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02C	30.42	Livre	Centre de documentation	Géodésie	Disponible

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
39875-01D	30.42	Livre	Centre de documentation	Géodésie	Disponible
39875-02D	30.42	Livre	Centre de documentation	Géodésie	Disponible

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