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World 1 · Orbit Basics · 7 min

Kepler's First Law

Orbits are ellipses

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Johannes Kepler discovered that planets do not move in perfect circles. His First Law: a bound orbit in the ideal two-body model is an ellipse, with the central body sitting at one focus (not the centre). A circle is just the special case of an ellipse with zero stretch.

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An ellipse is described by two numbers. The semi-major axis (a) is half the long width — it sets the orbit's overall size. The eccentricity (e) measures how squashed it is: e = 0 is a circle, and as e climbs toward 1 the ellipse grows long and thin. The nearest point to the focus is periapsis; the farthest is apoapsis.

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Check yourself

In Kepler's First Law, where is the Sun located?

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