← Gravitational fields

The universal gravitational constant G

Every gravity calculation you will ever do shares one number. Measured in a basement lab in Texas or read from a star's orbit in another galaxy, the number agrees.

That number is G, the constant in Newton's law.

G, the universal gravitational constant, is 6.67 × 10⁻¹¹ N·m²/kg².

Written out, 6.67 × 10⁻¹¹ is 0.0000000000667, a tiny number.

G has the same value everywhere in the universe. The same G applies on Earth and in a distant galaxy. It is the same at every time and for every pair of objects, large or small.

PLACEVALUE OF Ga lab on Earth6.67 × 10⁻¹¹ N·m²/kg²a distant galaxy6.67 × 10⁻¹¹ N·m²/kg²a massive star6.67 × 10⁻¹¹ N·m²/kg²
The same G, wherever it is measured.

An astronomy team models the orbits in a star system in another galaxy. Which value of G goes into the model?

Write down the fact:

G has the same value everywhere in the universe.

The star system sits in another galaxy, and everywhere includes it.

The team uses the same 6.67 × 10⁻¹¹ N·m²/kg² that applies on Earth.

A massive star makes a mighty gravitational force through its mass, m₁ in the law, never through a changed G.

Freya says the same value of G applies to a pebble on Earth and to a star in a distant galaxy. Is Freya correct?

Because G multiplies into every gravitational force, its tininess matters. The next lesson shows how much.

Your turn

Which value belongs to the universal gravitational constant?

Which quantity has the value 6.67 × 10⁻¹¹ N·m²/kg²?

Two labs measure the universal gravitational constant: one in Texas, one on the Moon. How do their results compare?