Gravitational Time Dilation Calculator

Your details

Load a preset mass and radius. Switch to Custom to enter your own values.
Mass of the central body in the chosen unit.
Distance from the center of the body to the observer (must be > Schwarzschild radius).
The time interval measured by the observer in the gravitational field.
Enable to compare time at two different distances from the same (or different) body.
Time dilation factorVery weak field
0.9999999958

sqrt(1 - 2GM/rc^2) - ratio of proper time to coordinate time

Schwarzschild radius0.052974m
Coordinate time (observer 1)1.000000 yr
Time difference between locations131.1987 ms
0.9999999958
Near event horizon<0.7Extreme field0.7-0.85Strong field0.85-0.95Moderate field0.95-0.999Weak field0.999+

Time flows 99.99999958% as fast here compared to deep space.

  • The dilation factor is 0.9999999958, meaning a clock here ticks at 99.99999958% of the rate of one in deep space.
  • The Schwarzschild radius for this mass is 5.297e-2 m. A black hole of this mass would have that as its event horizon.
  • The time difference is about 4.16 parts per billion. This is the regime where GPS satellites require relativistic corrections.

Next stepTry switching the preset to a neutron star or increasing the mass while keeping the radius small to approach the event horizon.

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