🕳️ Gravitational Time Dilation Calculator
Calculate how much slower a clock ticks near a massive body compared to far away, according to general relativity.
1
×10²⁴ kg (Earth=5.97)
2
km
3
seconds
What Is Gravitational Time Dilation?
General relativity predicts that clocks run slower the closer they are to a massive object, because gravity curves spacetime. This effect is measurable and is accounted for in systems like GPS satellites.
The Formula
t_local = t_far × √(1 − rs/r), where rs = 2GM/c² is the Schwarzschild radius of the body, r is the distance from its center, G is the gravitational constant, and c is the speed of light. As r approaches rs, the dilation factor approaches zero.
For general educational purposes; this uses the simplified (non-rotating, non-charged) Schwarzschild metric.
Last reviewed August 2026