Schwarzschild Radius Calculator: Determine Event Horizon Distances

This tool will calculate the Schwarzschild radius, or the radius of a black hole’s event horizon, based on the mass you input.

A Schwarzschild radius calculator helps you find the radius of a black hole given its mass. Simply enter the mass of the object in kilograms, and click “Calculate” to display the Schwarzschild radius, which is the radius of a sphere such that, if all the mass of an object were to be compressed within that sphere, the escape velocity from the surface would equal the speed of light.

How to Use the Calculator

  1. Enter the mass of an object in kilograms into the input field.
  2. Click the “Calculate” button to compute the Schwarzschild Radius.
  3. View the result in the Result field which gives you the radius in meters.

How it Calculates Results

The calculator uses the Schwarzschild radius formula: R = (2 * G * M) / c^2, where:

  • R is the Schwarzschild radius,
  • G is the gravitational constant (6.67430 x 10-11 m3 kg-1 s-2),
  • M is the mass of the object in kilograms,
  • c is the speed of light in a vacuum (approximately 299,792,458 meters per second).
Once you input the mass and click “Calculate”, the javascript function performs the calculation and outputs the Schwarzschild radius to 16 decimal places.

Limitations of the Calculator

The Schwarzschild radius calculator assumes a non-rotating, spherically symmetric mass which is a simplified model of a black hole. It might not accurately reflect the properties of real astrophysical black holes, which can rotate and exhibit charge. The Schwarzschild solution is only valid outside the event horizon; it does not describe the interior of a black hole. Additionally, this calculation does not account for the effects of general relativity in strong gravitational fields.