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Kepler's first law describes the shape of a planet's orbit around the Sun. What shape does it state, and where does the Sun sit within it?

AA perfect circle, with the Sun at its exact center
BA parabola, with the Sun at its vertex
CAn ellipse, with the Sun at one focus
DA spiral, with the Sun at its innermost point
Answer & Solution
Correct answer: C. An ellipse, with the Sun at one focus
1. Kepler's first law states that the orbit of each planet about the Sun is an ellipse. 2. Within that ellipse, the Sun sits at one focus rather than at the geometric center. 3. A circle is only a special case of an ellipse where the two foci coincide, so stating the orbit as a perfect circle is too restrictive in general. 4. A parabola or a spiral does not describe a closed, repeating planetary orbit at all, so neither matches Kepler's first law. _Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section 6.6 Satellites and Kepler's Laws: An Argument for Simplicity_
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