Gravitational Time Dilation Calculator

Evaluate the Schwarzschild stationary-clock factor at the supplied areal radius and multiply it by distant elapsed time. This is gravitational, not velocity-based special-relativistic dilation. The calculator evaluates only the stated idealized equation and supplied values. It does not infer missing conditions, choose an experimental convention, or certify a measurement. Keep every quantity in the displayed unit and verify the model against the physical setup before relying on the result.

A factor below one means the local stationary clock accumulates less proper time than the far-away coordinate interval. Near weak fields the factor is extremely close to one. Numerical precision does not imply experimental accuracy. Compare the output with scale, sign, limiting cases, and an independent source, then account for uncertainty in measured inputs and constants before using it in laboratory, engineering, or safety-sensitive work.

The clock is stationary outside an isolated spherical, non-rotating, uncharged mass. It excludes rotation, altitude paths, moving clocks, multipoles, and combined relativistic effects. The result is educational and is not a simulation, calibration, engineering approval, or safety determination. More complete models may require geometry, material response, boundary conditions, relativistic frames, dispersion, losses, uncertainty propagation, or numerical field solutions not represented by these inputs.