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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 ...
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. [30]
In 1964, Pound and J. L. Snider measured a result within 1% of the value predicted by gravitational time dilation. [36] (See Pound–Rebka experiment) In 2010, gravitational time dilation was measured at the Earth's surface with a height difference of only one meter, using optical atomic clocks. [26]
In general relativity, gravity can be regarded as not a force but a consequence of a curved spacetime geometry where the source of curvature is the stress–energy tensor (representing matter, for instance). Thus, for example, the path of a planet orbiting a star is the projection of a geodesic of the curved four-dimensional (4-D) spacetime ...
Gravitational time dilation near a large, slowly rotating, nearly spherical body, such as the Earth or Sun can be reasonably approximated as follows: [21] = where: t r is the elapsed time for an observer at radial coordinate r within the gravitational field;
However, from the standpoint of Earth-based observers, general time dilation including gravitational time dilation causes Barycentric Coordinate Time, which is based on the SI second, to appear when observed from the Earth to have time units that pass more quickly than SI seconds measured by an Earth-based clock, with a rate of divergence of ...
The space station is whizzing around Earth at about five miles per second (18,000 mph), according to NASA. That means time moves slower for the astronauts relative to people on the surface. Now ...
This gravitational frequency shift corresponds to a gravitational time dilation: Since the "higher" observer measures the same light wave to have a lower frequency than the "lower" observer, time must be passing faster for the higher observer. Thus, time runs more slowly for observers the lower they are in a gravitational field.