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How gravity shapes the solar system
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Module 1 · What gravity is

Two masses

Interactive 5 min

Gravity pulls any two masses together with a force F = G·m₁·m₂ / r² [1]. Between the Sun and the Earth that is about 3.5 × 10²² newtons, and it is exactly equal and opposite on both bodies. The Sun is about 333,000 times heavier than the Earth [2], so the same force barely moves it.

Try this. Compare the two arrows. They have the same length. Why does the Earth still move so much more than the Sun?

Sources: [1] CODATA recommended value: Newtonian constant of gravitation (NIST); [2] Sun Fact Sheet (NASA GSFC NSSDC)

Step 1 of 1

What is gravity?

Gravity is the attraction between any two masses: F = G · m₁·m₂ / r² — stronger with more mass, weaker with the square of the distance. Here are just two bodies. The arrows show the pull each exerts on the other: exactly equal and opposite (Newton’s 3rd law), about 3.5 × 10²² newtons. The Sun is ~333 000× heavier, so the same force barely moves it but flings the Earth around. This one rule is the whole story — next we’ll see it even built these bodies.

Text version of this interactive
  1. What is gravity?

    Gravity is the attraction between any two masses: F = G · m₁·m₂ / r² — stronger with more mass, weaker with the square of the distance. Here are just two bodies. The arrows show the pull each exerts on the other: exactly equal and opposite (Newton’s 3rd law), about 3.5 × 10²² newtons. The Sun is ~333 000× heavier, so the same force barely moves it but flings the Earth around. This one rule is the whole story — next we’ll see it even built these bodies.

About this interactive
Licence
MIT
Credits
© 2026 Mateusz Wojczal. Earth texture: Solar System Scope, CC BY 4.0. Three.js (MIT). Inter and Roboto Mono (SIL OFL 1.1).
Source
https://github.com/ulams-dev/ulams/tree/main/demo-content/gravity

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