Gravitational Potential Energy (Two Bodies) Calculator
Compute U = −Gm₁m₂/r between two masses.
Input Data
Mass1Kg
kg
Mass2Kg
kg
Distance M
m
Results
U = −Gm₁m₂/r.
-76,130,121,670,967,740,000,000,000,000J
F = Gm₁m₂/r².
198,049,223,909,905,660,000N
At a glance:U = −G·m₁m₂/r (negative, zero at ∞); F = Gm₁m₂/r². Complements gravitational-force and gravitational-potential-energy.
Formula
U = −G·m₁·m₂ / r.
$$U = -\frac{G m_1 m_2}{r}, \quad F = \frac{G m_1 m_2}{r^2}, \quad G = 6.674 \times 10^{-11}\,\text{N·m}^2/\text{kg}^2$$How to Use
- Enter both masses and distance.
- The tool returns U and F.
Case Studies
m₁=m₂=5.97e24, r=6.37e6
U ≈ −3.7e32 J.
FAQ
Negative U?
Bound systems have negative PE relative to infinite separation.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.