Physics

Gravitational Time Dilation Calculator

Find how gravity slows time near a massive body.

Mass (M☉)

Distance from center

Calculated Output

Time dilation factor 0.9998

Slowdown (ppb) 212,326.25

Formula: √(1 − 2GM ÷ (r·c²))

Step-by-Step Breakdown

1. Values used:

2. Mass = 1 M☉

3. Distance from center = 6,957

5. Time dilation factor = 0.9998

6. Slowdown = 212,326.25ppb

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The math behind it

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

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

Does GPS account for this?

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