The implication of density in latitudinal correction to gravity measurement is investigated and the inner Iink of the density or the level ellipsoid with its latitude is also predicted. In this paper the density inte...The implication of density in latitudinal correction to gravity measurement is investigated and the inner Iink of the density or the level ellipsoid with its latitude is also predicted. In this paper the density integral formulae or gravity potential at pole and equator of the revolving ellipsoid are derived. In accordance with the gravity potential condition at pole and on equator of tbe level ellip soid, the Iatitudinal density distribution function of the level ellipsoid is given and further the hypothesis that radial aud longitudinal mean density of the earth normally distribute along latitudinal direction and its latitudinal density on the equator is larger than those at poles is put forward.展开更多
In this paper, the definition of latitudinal density and density flattening of the level ellipsoid is given, and integral formulas of latitudinal density for pole gravity and equator gravity are derived. According to ...In this paper, the definition of latitudinal density and density flattening of the level ellipsoid is given, and integral formulas of latitudinal density for pole gravity and equator gravity are derived. According to the pole gravity condition and equator gravity condition for the level ellipsoid, latitudinal density distribution function of the level ellipsoid is obtained. It is proved mathematically that latitudinal density of the earth's equator is larger than that of the pole, the earth's density flat-tening calculated preliminarily is 1/322, and hypothesis of the earth's latitudinal normal density is further proposed, so that theoretical preparation for studying the forming cause of the earth gravity in problems such as continent drift, mantle convection, and submarine extension is made well.展开更多
文摘The implication of density in latitudinal correction to gravity measurement is investigated and the inner Iink of the density or the level ellipsoid with its latitude is also predicted. In this paper the density integral formulae or gravity potential at pole and equator of the revolving ellipsoid are derived. In accordance with the gravity potential condition at pole and on equator of tbe level ellip soid, the Iatitudinal density distribution function of the level ellipsoid is given and further the hypothesis that radial aud longitudinal mean density of the earth normally distribute along latitudinal direction and its latitudinal density on the equator is larger than those at poles is put forward.
基金President Foundation of the Chinese Academy of Sciences and Postdoctoral Foundation of Tongji University.
文摘In this paper, the definition of latitudinal density and density flattening of the level ellipsoid is given, and integral formulas of latitudinal density for pole gravity and equator gravity are derived. According to the pole gravity condition and equator gravity condition for the level ellipsoid, latitudinal density distribution function of the level ellipsoid is obtained. It is proved mathematically that latitudinal density of the earth's equator is larger than that of the pole, the earth's density flat-tening calculated preliminarily is 1/322, and hypothesis of the earth's latitudinal normal density is further proposed, so that theoretical preparation for studying the forming cause of the earth gravity in problems such as continent drift, mantle convection, and submarine extension is made well.
