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  4. The variational method for approximation of the geopotential by dint the series of fundamental solutions of Laplace's equation

The variational method for approximation of the geopotential by dint the series of fundamental solutions of Laplace's equation

ISTCGCAP.
1985;
Volume 41, Number 41
: 53-62
Authors:
  1. Alexander N. Marchenko
1
Department of Geodesy, Institute of Geodesy, Lviv Polytechnic National University

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3. Marchenko A.N. Model' tochechnyh mass global'nogo gravitacionnogo polja Zemli.- Geodezija, kartografija i ajerofotos#emka, 1980, vyp. 32.

4. Marchenko A.N. O nekotoryh tereticheskih aspektah predstavlenija geopotenciala potencialom sistemy tochechnyh mass. - Izv. vuzov. Geodezija i ajerofotos#emka, 1982, vyp. 3.

5. Marchenko A.N. Gil'bertovye prostranstva funkcij, garmonicheskih vne sfery B'erhammara, i global'naja kovariacionnaja funkcija anomal'nogo polja.- K., 1983. - Rukopis' dep. v UkrNIINTI, №293, Uk-D83.

6. Marchenko A.N. O postrenii modeli tochechnyh mass, geopotenciala po rezul'tatam sputnikovyh nabljudenij.- K., 1983. - Rukopi' dep. v UkrNIINTI, №292, Uk-D83.

7. Marchenko A.N. Ob ispol'zovanii fundamental'nyh reshenij uravnenija Laplasa dlja opredelenija gravitacionnogo polja i figury zemli.- In: Proc. Int. Symp. Figur of the Earth, the Moon and other Planets. Monograph. Series of VUGTK. Prague, 1983.

8. Marchenko A.N. o vybore stabilizatora dlja ustojchivoj approksimacii potenciala rjadom fundamental'nyh reshenij uravnenija Laplasa.- In: Proc. Int. Symp. Figur of the Earth, the Moon and other Planets. Monograph. Series of VUGTK. Prague, 1983.

9. Meshherjakov g.A. Obratnye zadachi teorii geopotenciala.- K., 1983.- (Preprint/AN USSR. In-t teoret. fiziki).

10. Nejman Ju.M. Variacionnyj metod fizicheskoj geodezii.- M.:Nedra, 1979.

11. Starostenko V.I., oganesjan S.M. Metody reguljacii i optimizacii v gravimetrii.- V kn.: Teorija i praktika intepretacii gravitacionnyh i magnitnyh polej v SSSR. k., 1983.

12. Tihonov A.N.Arsenin V.Ja. Metody reshenija nekorektnyh zadach.- M.: Nauka, 1979.

13. Barthelmes F., Kautzleben H. A new method of modelling the gravity field of the Earty by point masses.- Paper presented to the General Assembley of the IAG, 1983.

14. Krurup T.A. A contribution to the mathematical foundation of physical geodesy.- Danis Deod. Inst., 1969, №44.

15. Tsherning C.C., Rapp R. Closed cjvariance expression for gravity anomalies, geoid undulations and defections of vertical implied by anomaly degree variance models.- Report Dept of Geod.Sci. Ohio.State Univer., 1974, №208.