ONE FORMULA, ONE ANSWER
Gyroscope precession calculator
Estimate slow steady gravitational precession for a rapidly spinning symmetric gyroscope. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Slow steady precession speed Ω
Enter values and select Calculate.
Ω ≈ m g l / (I ω)
Assumptions
Required: a fixed pivot, a symmetric rigid body, and angular momentum dominated by Iω. The model estimates slow steady precession and excludes nutation. This app requires Ω/ω ≤ 0.1. Excluded: an exactly vertical spin axis, whose precession azimuth is undefined.
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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