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Gravitational Potential Energy Calculator

Compute two-body gravitational potential energy U = −GMm/r.

Input Data

Input Primary mass M.
kg
Input Object mass m.
kg
Input Distance r.
m

Results

-62,563,050.7J
U = −GMm/r = -6.2563e+7 J

At a glance:Gravitational Potential Energy Calculator: enter parameters to compute results; complements related calculators.

Formula

U = − G M m / r

zero at infinity; bound states negative

How to Use

  1. Enter primary mass M, object mass m, distance r.
  2. Get gravitational potential U (negative).

Case Studies

1 kg at surface

M=5.972×10²⁴, r=6.371×10⁶ → U≈−6.26×10⁷ J.

FAQ

Vs near-field?

ΔU = mgh is the near-surface approximation.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

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