NaNa Lab EngineeringE056 · Space

ONE FORMULA, ONE ANSWER

Schwarzschild Radius Calculator

Calculate the horizon radius of a nonrotating uncharged black hole model. Choose input units and calculate one value within the stated conditions.

Inputs

Greater than zero after conversion to SI

Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.

Result

Schwarzschild radius r_s

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Enter values and select Calculate.

FORMULA

r_s = 2GM/c²

Assumptions

Required: M>0. This is the nonrotating uncharged Schwarzschild horizon radius. Excluded: spin, charge, disks and apparent shadow size. The result does not classify an observed object as a black hole.

Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.

Formula references and credits

NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.

Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.

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