Normal gravity in the context of Earth's gravity


Normal gravity in the context of Earth's gravity

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⭐ Core Definition: Normal gravity

In geodesy and geophysics, theoretical gravity or normal gravity is an approximation of Earth's gravity, on or near its surface, by means of a mathematical model. The most common theoretical model is a rotating Earth ellipsoid of revolution (i.e., a spheroid).

Other representations of gravity can be used in the study and analysis of other bodies, such as asteroids. Widely used representations of a gravity field in the context of geodesy include spherical harmonics, mascon models, and polyhedral gravity representations.

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Normal gravity in the context of Dynamic height

Dynamic height (symbol or ) is a way of specifying the vertical position of a point above a vertical datum; it is an alternative for orthometric height or normal height. It can be computed (in SI units of metre) by dividing the location's geopotential number (symbol C, in square metre per square second) by the normal gravity (symbol gc, in metres per square second) at 45 degree latitude and zero height, a constant value (9.806199203 m/s):

Dynamic heights are usually chosen so that zero corresponds to the geoid.

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Normal gravity in the context of Normal height

Normal heights (symbol or ; SI unit metre, m) is a type of height above sea level introduced by the Soviet scientist Mikhail Molodenskii.The normal height of a point is defined as the quotient of a point's geopotential number C (i.e. its geopotential difference with that of sea level), by the vertically averaged normal gravity:

The average is evaluated along the normal potential's plumb line (a curve, approximated by the ellipsoidal normal, a straight line). The evaluation ranges from the Earth ellipsoid up to the point of interest; the procedure is thus recursive.Normal heights are slightly dependent upon the reference ellipsoid chosen.

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