Gravitational Time Dilation Calculator

Written by Great Medico

Updated September 25, 2026 •2 min read

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A gravitational time dilation result can look convincing even when one unit or assumption is off. Relativistic effects stay small at everyday speeds and become strongly nonlinear as velocity approaches the speed of light. This page keeps the calculation narrow enough to trace the answer back to the values you enter.

What this calculator does

The Gravitational Time Dilation Calculator connects Time interval with no gravity, Mass, Radius to the page’s local time interval. Supporting values are included only when they follow from the same relationship, so you can compare the headline with the quantities behind it.

How to use it

Enter Time interval with no gravity, Mass, Radius using the units shown beside each field. Keep all values from the same physical case, then check the headline result and any supporting values before changing one input at a time for comparison.

How the calculation works

For a stationary clock outside a spherical mass, the page uses Δtlocal = Δtfar√(1−rₛ/r), where rₛ = 2GM/c². The entered radius must exceed the Schwarzschild radius.

Example

With the default setup (Time interval with no gravity = 1 s; Mass = 5.972e+24 kg; Radius = 6371 km), the page reports local time interval of 1 s. This is a useful baseline: change one input and confirm the new value follows the proportionality in the formula.

How to interpret the result

Interpret the local time interval with its reference frame and proper quantity in mind. A Lorentz factor, dilated time, or contracted length does not have a frame-independent everyday interpretation; the labels define which observer the number belongs to.

Limitations and notes

The equations here use ideal inertial or static-spacetime models. Acceleration histories, simultaneity conventions, curved spacetime, rotation, and local measurement definitions can require a more complete treatment. Recheck Time interval with no gravity, Mass first if the result looks surprising, because an incorrect unit or definition there can dominate rounding error. Safety-critical or standards-based work still needs the applicable design rules and independent verification.