Gravitational Time Dilation Calculator

Find how gravity slows time near a massive body.

Time dilation factor 0.9998
Slowdown (ppb) 212,326.25

Formula: √(1 − 2GM ÷ (r·c²))

Step-by-step with your numbers:
1. Values used:
2. Mass = 1 M☉
3. Distance from center = 6,957
4.
5. Time dilation factor = 0.9998
6. Slowdown = 212,326.25ppb
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Clocks run slower deeper in a gravitational field — a prediction of general relativity.

The math behind it

The time runs at a rate √(1 − 2GM/(rc²)) compared to a distant observer. Stronger gravity slows time more.

Worked example

At the Sun's surface → clocks run about 2.1 ppm slower.

FAQ

Does GPS account for this?

Yes — satellite clocks run faster in weaker gravity and are corrected.