Skip to main content
Log in

Geocentric indian geodetic datum by astrogeodetic — gravimetric method using smoothened geoidal heights

  • Published:
Bulletin Géodésique Aims and scope Submit manuscript

Abstract

The astrogeodetic—gravimetric method based on the principle of least—squares solution has been used to determine the geocentric Indian geodetic datum making use of the available nongeocentric astrogeodetic data and the gravimetric geocentric geoidal heights in the form of smoothened values. Everett’s method of interpolation has been used to obtain the smoothened geoidal heights at the astrogeodetic stations in India from the available generalized values at 1°×1° corners. The values of the geoidal height and deflections of the vertical at the geodetic datum Kalianpur H.S. so obtained have the negligible difference from the values computed earlier by the same method using directly computed gravimetric geoidal heights at the astrogeodetic stations, indicating that the use of the interpolated values in the astrogeodetic—gravimetric method employed would be an economical approach of absolute orientation of a nongeocentric system if the gravimetric geoidal heights are available at 1°×1° corners in the area of interest.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  • J.C. BHATTACHARJI (1973): Geoid, Isostatic Geoid, Isostatic Co-geoid and Indirect Effect of Gravity in India. Proc. Symposium on Earth’s Gravitational Field and Secular Variations in Position.

    Google Scholar 

  • J.C. BHATTACHARJI (1981): Determination of Indian Absolute Geodetic Datum by Least-Squares Solution Technique. Bull. Geod., Vol. 54, No. 2.

    Google Scholar 

  • J.C. BHATTACHARJI, A.M.C. SRIVASTAVA and RAM KUMAR (1981): Gravimetric Geoid on GRS 67 over Parts of African Countries. Presented at the Second Symposium on Geodesy in Africa, Nairobi, Kenya, Nov. 8–20.

    Google Scholar 

  • J.C. BHATTACHARJI and A.M.C. SRIVASTAVA (1982): European Geocentric Geoid on GRS 67. Presented at the General Meeting of the International Association of Geodesy, Tokyo, Japan, May 7–20.

    Google Scholar 

  • J.C. BHATTACHARJI, A.M.C. SR IVASTAVA and R.K. GARG (1982): Redetermination of European Geocentric Geoid on GRS 67. Presented at the Second International Symposium on Geoid in Europe and Mediterranean Area, Rome, Italy, Sept. 13–17.

  • E. GROTEN and R. RUMMEL (1974): Improved Gravimetric Geoid for 7° ≤ λ ≤ 12°(E) and 47° ≤ ϕ < 54° (N). Allgemeine Vermessungs-Nachrichten, 7, 263–267.

  • R. FORSBERG and C.C. TSCHERNING (1980): The Use of Height Data in Gravity Field Approximation by Collocation. J. of Geoph. Res., 86, B9, 7843–7854.

    Article  Google Scholar 

  • W.A. HEISKANEN and H. MORITZ (1967): Physical Geodesy. W.H. Fraeman and Co. San Francisco.

    Google Scholar 

  • G. LACHAPELLE (1977): Estimation of Disturbing Potential Components Using a Combined Integral Formulae and Collocation Approach. Manuscripta Geodaetica, Vol. 2, 233–262.

    Google Scholar 

  • G. LACHAPELLE (1979): Comparison of Doppler-Derived and Gravimetric Geoid Undulations in North America.

    Google Scholar 

  • R.H. RAPP and R. RUMMEL (1975): Methods for the Computation of Detailed Geoids and their Accuracy. Dept. of Geodetic Science Rep. No. 233, The Ohio Stata University, Columbus.

    Google Scholar 

  • S.S. SASTRY (1977): Introductory methods of Numerical Analysis Prentice Hall of India Pvt. Ltd., New Delhi.

    Google Scholar 

  • A.M.C. SRIVASTAVA (1980): Gravimetric Geoidal Heights and Deflections of the Vertical in India. Presented at the Annual General Meeting of the Institution of Surveyors, India, Oct. 10.

    Google Scholar 

  • A.M.C. SRIVASTAVA (1981): Interpolation of Geoidal Undulations by Everett’s formula. To appear in Indian Surveyor, Publisher - The Institution of Surveyors, India.

    Google Scholar 

  • F. SANSÒ and C.C. TSCHERNING (1982): Mixed Collocation: A Proposal. Preprint Quaternoines Geodaesia (Reprints from Topography and Higher Geodesy and Cartography, Faculty of Engineering, University of Thessaloniki, Greece).

    Google Scholar 

  • S. VINCENT and J. MARSH (1974): Gravimetric Global Geoid. In Proceedings of the International Symposium on the Use of Artificial Satellites for Geodesy and Geodynarnics, ed. G. Veis, National Technical University, Athens, Greece.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Srivastava, A.M.C. Geocentric indian geodetic datum by astrogeodetic — gravimetric method using smoothened geoidal heights. Bull. Geodesique 58, 510–517 (1984). https://doi.org/10.1007/BF02523697

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02523697

Keywords

Navigation