Open AccessGeodetic singularities in the gravity field of a non‐homogeneous planet
Author(s) -
Bocchio F.
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb04920.x
Subject(s) - gravitational singularity , geodetic datum , singularity , homogeneous , planet , geodesy , classical mechanics , gravitational field , physics , geophysics , geometry , geology , mathematical analysis , mathematics , statistical physics , astrophysics
Summary. An inverse geodetic singularity problem is considered for a non‐homogeneous spherical planet. The singularity condition is expressed in terms of the density distribution and of the geometrical parameters of the configuration; the condition for the density distribution is deduced which gives rise to singularities of parabolic type in the external gravity field of the planet. The structure of the gravity field in the neighbourhood of the singularities is investigated in detail together with the behaviour of the gradients of the disturbances in the geodetic coordinates.