
An ellipsoid of revolution is obtained by rotating an ellipse about one of its two axes.

The surface most familiar to us, the one we walk on every day, raises its fair share of questions: what exactly is the shape of the Earth? It is neither quite a sphere nor an ellipsoid. This irregular object, the geoid, has some subtle properties. We spoke with a specialist.



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Kepler's laws and the law of gravitation made it possible to predict the positions of the planets over time. Yet Jupiter and Saturn insisted on straying from those predictions—and every attempt to explain why had failed! It was Laplace who would uncover the underlying phenomenon of resonance.

Understanding the shape of the planet we live on, and then depicting it, has been an adventure since the earliest days of antiquity. At every stage, the model has been refined and improved, drawing ever closer to the one we use today: the geoid.

In his scientific work, Laplace introduced and used numerous mathematical functions. Alongside the Laplacian and the Laplace transform, we find generating functions and the potential function.

The birth of "deterministic chaos" grew out of Henri Poincaré's entry for a prize offered by King Oscar II. The French mathematician's paper would go down in history for containing a major error—one that proved extraordinarily fruitful for science.
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