1. JGD
  2. All Volumes and Issues
  3. 1(12), 2012
  4. Earth group planets gravitational models of 3-d density distributions

Earth group planets gravitational models of 3-d density distributions

JGD.
2012;
Volume 12, Number 1
: 42-53
https://doi.org/10.23939/jgd2012.01.042
Authors:
  1. Anatolii Tserklevych
  2. Olexandr Zayats
  3. Mykhailo Fys
1
Engineering geodesy department of Lviv Polytechnic National University
2
Engineering geodesy department of Lviv Polytechnic National University
3
Department of Cartography and Geospatial Modeling, Institute of Geodesy, Lviv Polytechnic National University

In the paper the interpretation of planetary anomalies in the gravitational field of the Earth, Venus, Mars and Moon in their relationship with the internal inhomogeneous structure of those planets is considered. The model of the gravitational field of named planets up to 20th order and degree and the three-layer models (crust, mantle and core) of the planets and its planetary parameters was taken as the initial information for modelling.
 

gravitational model of density distribution
density moments
spherical harmonics coefficients of gravity field
gravity anomalies
inverse gravimetric task.
  1. Heats of V.N. To the task about termoupruhykh tensions in the body of Earth // Yzv. AN THE USSR. Ser. Heofyz. - 1963. - 7. - S. 989-999.
  2. Zayats' O.S. Pro vykorystannya danykh kosmichnykh aparativ pry vyvchenni hravitatsiynoho polya i vnutrishn'oyi budovy Misyatsya // Novitni dosyahnennya heodeziyi, heoinformatyky ta zemlevporyadkuvannya. Yevropeys'kyy dosvid. - Chernihiv. - 2005. - Vyp. 3. - S. 195-199.
  3. Zonenshayn P.P., Savostyn L.A. Introduction to heodynamyku. - M.: Bowels of the earth, 1979. - 311 p.
  4. Kartvelyshvyly K.M. Planetary closeness model and normal gravitational field of Earth. - M.: Science, 1982. - 95 p.
  5. Lavrent'ev of M.M. About some ill-conditioned problems of mathematical physics. it is Novosibirsk: Science, 1962. - 96p.
  6. Meshcheryakov of H.A. About correctness of one reverse task of theory of potential // of Yzv. AN THE USSR. Ser. Physics of Earth. - 1969. - № 8. - S. 54-59.
  7. Meshcheryakov of H.A., Tserklevych A.L. Gravitational field, figure and internal structure of Mars.- K.: Sciences. thinking,1987. - 240p.
  8. Meshcheryakov of H.A., Fыs M.M. About the biorthogonal systems into an ellipsoid // the Theoretical and practical problems of calculable mathematics. - M.: Science, 1981. - S. 120.
  9. Moryts H. is Figure of Earth : the Theoretical geodesy and internal structure of Earth. - K.: Sciences. thinking, 1994. - 240 p.
  10. Puscharovskiy Yu.M. Seysmografiya, tektonika i glubinnaya geodinamika // Vestnik otdeleniya nauk o Zemle RAN. Elektronnyiy nauchnoinformatsionnyiy zhurnal. - 1997. - № 2. [Elektronnyiy resurs] http://www.scgis.ru/russian/cp1251/dgggms/2-97/main.html.
  11. Rankorn S. Dinamicheskie protsessyi v nizhney mantii // Verhnyaya mantiya. - M.: Mir, 1975. - S. 286-298.
  12. Sagitov M.U. Lunnaya gravimetriya. - M.: Nauka, 1979. - 432 s.
  13. Tarakanov Yu.A., Cherevko T.I. Interpretatsiya krupneyshih gravitatsionnyih anomaliy Zemli // Izv. AN SSSR. Fizika Zemli. - 1978. - № 4. - S. 25-42.
  14. Terkot D., Shubert Dzh. Geodinamika: Geologicheskoe prilozhenie fiziki sploshnyih sred. - M.: Mir, 1985. - 376 s.
  15. Tyapkin K.F. Fizyka Zemli. - K.: Vyshcha shkola, 1998. - 291 s.
  16. Vyvchennya neodnoridnostey vnutrishn'oyi budovy Marsa ta Misyatsya za danymy yikhnikh hravitatsiynykh poliv / A.L. Tserklevych, O.S. Zayats', P.M. Zazulyak ta in. // Kynematyka y fyzyka nebesnykh tel. - 2010. - 26, № 2. - S. 59-73.
  17. Tserklevych A.L. Izostaziya ta izostatychni modeli interpretatsiyi hravitatsiynoho polya planet zemnoyi hrupy (suchasnyy stan problemy) // Heodynamika. - 2009. - № 1 (8). - S. 5-23.
  18. Dziewonski A.M., Hager B.H., O'Connell R.J. Largescale heterogeneties in the lower manthle // J. Geophys. Res. - 1977. - 82, № 2. - P. 239-255. https://doi.org/10.1029/JB082i002p00239
  19. Gaposchkin E.M. Smithsonian Standard Earth (III) // SAO Special Report. - 1973. - № 535. - 365 p.
  20. Konopliv A.S., Asmar S.W., Yuan D.N. Recent gravity models as a result of the Lunar Prospector mission // Icarus. - 2001. - 150. - P. 1-18. https://doi.org/10.1006/icar.2000.6573
  21. Konopliv A.S., Banerdt W.B., Sjogren W.L. Venus gravity: 180th degree and order model // Icarus. - 1999. - 139. - P. 3-18. https://doi.org/10.1006/icar.1999.6086
  22. Lemoine F.G. Smith D.D., Rowlands D.E. et.al. An improved solution of the gravity field of Mars (GMM-2B) from Mars Global Surveyor // J. Geophys. Res. - 2001. - 106, № E10. - P. 23359-23376. https://doi.org/10.1029/2000JE001426
  23. Pavlis N.K. Holmes S.A., Kenyon S.C. et al. An Earth Gravitational Model to Degree 2160: EGM2008 // EGU General Assembly. Geophysical Research Abstracts. - 2008. - Vol. 10. - P. 2. (EGU2008-A-01891). https://doi.org/10.1190/1.3063757
  24. Phillips R.J. Saundrs R.S. The isostatic state of martian topography // J. Geophys. Res. - 1975. - 80, № 20. - P. 2893-2897. https://doi.org/10.1029/JB080i020p02893
  25. Su W.-J., Woodward R.L., Dziewonski A.M. Degree-12 Model of Shear Velocity Heterogeneity in the Mantle // J. Geophys. Res. - 1994.- 99 (4). - P. 4945-4980. https://doi.org/10.1029/93JB03408
  26. Watts A.B. Isostasy and Flexure of the Lithosphere. - Cambridge University Press. - 2001. - 458 p.
  27. Wieczorek M.A., Jolliff B.L., Amir Khan. The Constitution and Structure of the Lunar Interior // Reviews in Mineralogy & Geochemistry. - 2006. - 60. - P. 221-364. https://doi.org/10.2138/rmg.2006.60.3