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In classical theories of gravitation, the changes in a gravitational field propagate.
A change in the distribution of energy and momentum of matter results in subsequent alteration, at a distance, of the gravitational field which it produces.
In the relativistic sense, the "speed of gravity" refers to the speed of a gravitational wave, which is the same speed Within the theory of special relativity, the constant c is not exclusively about light; instead it is the highest possible speed for any interaction in nature.
Formally, c is a conversion factor for changing the unit of time to the unit of space.
In a field equation consistent with special relativity (i.e., a Lorentz invariant equation), the attraction between static charges moving with constant relative velocity, is always toward the instantaneous position of the charge (in this case, the "gravitational charge" of the Sun), not the time-retarded position of the Sun.This assumption was adequate to account for all phenomena with the observational accuracy of that time.It was not until the 19th century that an anomaly in astronomical observations which could not be reconciled with the Newtonian gravitational model of instantaneous action was noted: the French astronomer Urbain Le Verrier determined in 1859 that the elliptical orbit of Mercury precesses at a significantly different rate from that predicted by Newtonian theory.This makes it the only speed which does not depend either on the motion of an observer or a source of light and/or gravity.Thus, the speed of "light" is also the speed of gravitational waves and any massless particle.