Universal Gravitation

📊 intermediate

$$F = G \frac{m_1 m_2}{r^2}$$

Calculates the gravitational attraction between two masses.

Variables & Units

$F$

Gravitational force

Unit: Newton ($N$)

$G$

Gravitational constant

Unit: $6.674 imes 10^{-11} N cdot m^2/kg^2$

$m_1, m_2$

Masses

Unit: Kilogram ($kg$)

$r$

Distance between centers

Unit: Meter ($m$)

Key Information

📐 Derived From

Newton's Principia Mathematica.

💡 Example

Calculating the force between Earth and Moon.

🔧 Applications

Satellite orbits and planetary motion.

⚠️ Constraints

Assumes point masses or spherically symmetric objects.

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