In: Contributions to Geophysics and Geodesy
Gravity field due to a homogeneous oblate spheroid: Simple solution form and numerical calculations
Milan Hvoždara - Igor Kohút
Vydavateľ / Publisher:
Rok, strany / Year, pages: 2011, 307-327
Jazyk / Language:
Publikované / Published: 0000-00-00
URL na originálny zdroj / Original source URL:
Typ dokumentu / Type of Document:
Popis / Abstract:
We present a simple derivation of the interior and exterior gravitational potentials due to oblate spheroid and also its gravity field components by using the fundamental solution of the Laplace equation in oblate spheroidal coordinates. Application of the method of separation of variables provides an expression for the potential in terms of oblate spheroidal harmonics of degree n
= 0,2. This solution is more concise and suitable for the numerical calculations in comparison with infinite series in spherical harmonics. Also presented are the computations in the form of potential isolines inside and outside the spheroid, as well as for the gravity field components. These reveal some interesting properties of the gravity field of this fundamental geophysical body useful for the applied gravimetry.
Ako citovať / How to Cite:
Hvoždara, M., Kohút, I. 2011. Gravity field due to a homogeneous oblate spheroid: Simple solution form and numerical calculations. In Contributions to Geophysics and Geodesy, vol. 41, no.4, pp. 307-327.
Hvoždara, M., Kohút, I. (2011). Gravity field due to a homogeneous oblate spheroid: Simple solution form and numerical calculations. Contributions to Geophysics and Geodesy, 41(4), 307-327.
Kľúčové slová / Keywords:
ellipsoid gravity field, oblate ellipsoidal coordinates, oblate ellipsoidal harmonics
Licencie / Rights: