Skip to main content
SpringerLink
Log in

The Parameters of a Point Source on the Gravity Field of a Sphere

  • SHORT COMMUNICATIONS
  • Published:
Moscow University Geology Bulletin Aims and scope Submit manuscript

Abstract—

This article describes a method for calculation of the parameters of a point source from the gravity field measured on a sphere. Conclusions about the conditions for the practical application of the method developed are drawn on the basis of a comparison of the results of spherical source coordinates and mass estimation by a field given on a plane and on a sphere.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. Blokh, Yu.I., Interpretatsiya gravitatsionnykh i magnitnykh anomalii: Ucheb. posobie (Interpretation of Gravity and Magnetic Anomalies. Textbook), Moscow: Ross. Gos. Geol. Univ., 2009.

  2. Bulychev, A.A., Krivosheya, K.V., Melikhov, V.R., and Zal’tsman, R.V., Calculation of anomalous gravity potential and Its derivatives over a sphere, Vestn. Mosk. Univ., Ser. 4: Geol., 1998, no. 2, pp. 42–46,

  3. Bulychev, A.A., Lygin, I.V., and Melikhov, V.R., Chislennye metody resheniya pryamykh zadach gravi- i magnitorazvedki (konspekt lektsii): Ucheb. posobie dlya studentov i magistrantov spetsializatsii “Geofizika” (Numerical Methods for Solving Forward Problems of Gravity and Magnetic Prospecting. Lecture Notes), Moscow, 2010.

    Google Scholar 

  4. Bulychev, A.A., Lygin, I.V., Sokolova, T.B., et al., Konspekt lektsii po kursu “Gravirazvedka”. Ch. I (Lecture Notes on Gravity Survey. Pt. I), Moscow: KDU, Univ. Kniga, 2017.

  5. Kato, M., Sasaki, S., and Takizawa, Y., The Kaguya mission overview, Space Sci. Rev., 2010, vol. 154, nos. 1–4, pp. 3–19.

    Article  Google Scholar 

  6. Kuznetsov, K.M., Lygin, I.V., and Bulychev, A.A., Algorithm of numeric direct gravity calculation of spherical layer with variable density, The Russ. Geophys. J., 2017, no. 1, pp. 22–27.

  7. Mironov, V.S., Kurs gravirazvedki. 2-e izd, pererab. i dop. (A Cource on Gravity Survey, 2nd ed. (Revised and Updated)), Leningrad: Nedra, 1980.

  8. Save, H., Bettadpur, S., and Tapley, B.D., High-resolution CSR GRACE RL05 mascons, J. Geophys. Res. Solid Earth, 2016, vol. 121, no. 10, pp. 7547–7569.

    Article  Google Scholar 

  9. Starostenko, V.I., Manukyan, A.G., and Zavorot’ko, A.N., Metody resheniya pryamykh zadach gravimetrii i magnitometrii na sharoobraznykh planetakh, (Methods for Solving the Direct Problems of Gravimetry and Magnetometry on Spherical Planets), Kiev: Nauk. Dumka, 1986.

  10. Tapley, B.D., Bettadpur, S., Watkins, M., et al., The gravity recovery and climate experiment: Mission overview and early results: GRACE mission overview and early results, Geophys. Rev. Lett., 2004, vol. 31, no. 9, pp. 1–4.

    Article  Google Scholar 

  11. Wiese, D.N., Landerer, F.W., and Watkins, M.M., Quantifying and reducing leakage errors in the JPL RL05M GRACE mascon solution: GRACE JPL RL05M leakage error reduction, Water Resour. Res., 2016, vol. 52, no. 9, pp. 7490–7502.

    Article  Google Scholar 

  12. Zuber, M.T., Smith, D.E., Watkins, M.M., et al., Gravity field of the moon from the gravity recovery and interior laboratory (GRAIL) mission, Science, 2013, vol. 339, no. 6120, pp. 668–671.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Geology, Moscow State University, Moscow, Russia

    L. S. Chepigo, N. S. Tkachenko & I. V. Lygin

Authors
  1. L. S. Chepigo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. S. Tkachenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. V. Lygin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to L. S. Chepigo, N. S. Tkachenko or I. V. Lygin.

Additional information

Translated by M. Hannibal

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chepigo, L.S., Tkachenko, N.S. & Lygin, I.V. The Parameters of a Point Source on the Gravity Field of a Sphere. Moscow Univ. Geol. Bull. 74, 310–315 (2019). https://doi.org/10.3103/S0145875219030037

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0145875219030037

Keywords:

Search

Navigation