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Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events, as measured by observers situated at varying distances from a gravitating mass. The lower the gravitational potential (the closer the clock is to the source of gravitation), the slower time passes, speeding up as the gravitational ...
The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies as described by the field equations of general relativity. Solving the Kepler problem is essential to calculate the bending of light by gravity and the motion of a planet orbiting its sun
The faster the relative velocity, the greater the time dilation between them, with time slowing to a stop as one clock approaches the speed of light (299,792,458 m/s). In theory, time dilation would make it possible for passengers in a fast-moving vehicle to advance into the future in a short period of their own time.
For two frames at rest, γ = 1, and increases with relative velocity between the two inertial frames. As the relative velocity approaches the speed of light, γ → ∞. Time dilation (different times t and t' at the same position x in same inertial frame) ′ =
General relativity generalizes special relativity (which explains motion at constant speed) and refines Newton's law of universal gravitation, which define gravity as a force, providing a unified description of gravity as a geometric property of space and time, or four-dimensional spacetime.
Also, gravitational time dilation was measured from a difference in elevation between two clocks of only 33 cm (13 in). [ 28 ] [ 29 ] Presently both gravitational and velocity effects are routinely incorporated, for example, into the calculations used for the Global Positioning System .
The Shapiro time delay effect, or gravitational time delay effect, is one of the four classic Solar System tests of general relativity. Radar signals passing near a massive object take slightly longer to travel to a target and longer to return than they would if the mass of the object were not present.
Any theory of gravity will predict gravitational time dilation if it respects the principle of equivalence. [ 6 ] : 16 This includes Newtonian gravitation. A standard demonstration in general relativity is to show how, in the " Newtonian limit " (i.e. the particles are moving slowly, the gravitational field is weak, and the field is static ...