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A planet’s path need not be a perfect circle

Kepler’s first law describes planetary orbits as ellipses.

An ellipse is a closed curve with two focal points. Kepler found that planetary motion was better described by ellipses than by perfect circles, with the Sun at one focus. In this model, the planet’s distance from the Sun changes along its path.

A circle is a special case of an ellipse, so an elliptical orbit can still look nearly circular. Textbook diagrams often exaggerate the elongation to make the geometry visible. The useful feature to notice is where the Sun sits, not merely how stretched the drawing looks.

A small example

On a sketch of an elongated ellipse, putting the Sun at its centre would miss the key feature of Kepler’s description.

Keep in mind

The two-body model is an approximation; other bodies also exert gravitational forces.

Source & attribution

Astronomy 2e — The Laws of Planetary Motion

OpenStax contributors · OpenStax, Rice University

CC BY 4.0. Rewritten as a self-contained explanation; the example and reflection are Vakataka additions. Written and edited with AI assistance. No source images reproduced.

Source edition: 2024-10-17T15:19:16Z

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