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Time Dilation Calculator

Physics
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Calculates the difference in elapsed time between observers due to relative velocity or gravitational potential (Special/General Relativity).

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Proper Time (seconds), Relative Velocity (m/s), Gravitational Potential (J/kg), and Speed of Light (m/s) in the units shown.

Step 2

Read Time Dilation Factor (Gravity), Time Dilation Factor (Velocity), Dilated Time (Gravity) (seconds), and Dilated Time (Velocity) (seconds) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Low Velocity

Proper Time (seconds): 100 s; Relative Velocity (m/s): 10,000,000 m/s; Gravitational Potential (J/kg): 0 J/kg; Speed of Light (m/s): 299,792,458 m/s

Time Dilation Factor (Gravity): 1; Time Dilation Factor (Velocity): 1.00055679; Dilated Time (Gravity) (seconds): 100 s; Dilated Time (Velocity) (seconds): 100.055679 s

High Velocity

Proper Time (seconds): 100 s; Relative Velocity (m/s): 200,000,000 m/s; Gravitational Potential (J/kg): 0 J/kg; Speed of Light (m/s): 299,792,458 m/s

Time Dilation Factor (Gravity): 1; Time Dilation Factor (Velocity): 1.342384701; Dilated Time (Gravity) (seconds): 100 s; Dilated Time (Velocity) (seconds): 134.2384701 s

Weak Gravity

Proper Time (seconds): 100 s; Relative Velocity (m/s): 0 m/s; Gravitational Potential (J/kg): 10,000,000 J/kg; Speed of Light (m/s): 299,792,458 m/s

Time Dilation Factor (Gravity): 0.9999999999; Time Dilation Factor (Velocity): 1; Dilated Time (Gravity) (seconds): 100 s; Dilated Time (Velocity) (seconds): 100 s

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