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In particular, a non-uniform gravitational field can produce a torque on an object, even about an axis through the center of mass. The center of gravity seeks to explain this effect. Formally, a center of gravity is an application point of the resultant gravitational force on the body. Such a point may not exist, and if it exists, it is not unique.
A complete field theory knows only fields and not the concepts of particle and motion. For these must not exist independently from the field but are to be treated as part of it. On the basis of the description of a particle without singularity, one has the possibility of a logically more satisfactory treatment of the combined problem: The ...
As part of that, the metric gravitational field , , =,,,, is redefined and decomposed into the non-relativistic gravitational (NRG) fields (,,) : is the Newtonian potential, is known as the gravito-magnetic vector potential, and finally is a 3d symmetric tensor known as the spatial metric perturbation.
This precession is due to the non-spherical nature of a rotating body, which creates a non-uniform gravitational field. The following discussion relates to low Earth orbit of artificial satellites, which have no measurable effect on the motion of Earth. The nodal precession of more massive, natural satellites like the Moon is more complex.
For a measurement point above the reference ellipsoid, this means that the gravitational attraction of the bulk mass of the earth is slightly reduced. The free-air correction is simply 0.3086 mgal m −1 times the elevation above the reference ellipsoid. [11] The remaining gravity anomaly at this point in the reduction is called the free-air ...
In classical mechanics, a gravitational field is a physical quantity. [5] A gravitational field can be defined using Newton's law of universal gravitation. Determined in this way, the gravitational field g around a single particle of mass M is a vector field consisting at every point of a vector pointing directly towards the particle. The ...
"In physics, center of gravity (CG) of a material body is a point that may be used for a summary description of gravitational interaction. That point may be defined either in the context of an external gravitational field acting on the body, or in the context of the gravitational field produced by the body and acting on other objects.
The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form, known for centuries, relates to masses of any composition in free fall taking the same trajectories and landing at identical times.