‘The line that joins any planet to the sun sweeps equal areas in equal intervals of time.’
Identifying Kepler's Law of Areas
The statement ‘The line that joins any planet to the sun sweeps equal areas in equal intervals of time’ describes a fundamental principle of planetary motion.
This specific statement is known as Kepler's Second Law, often referred to as the Law of Areas. It means that a planet moves faster when it is closer to the sun and slower when it is farther away, ensuring the area swept by the line connecting the planet and the sun remains constant over equal time periods.
Analyzing the Options
- Law of Motion: Generally refers to Newton's Laws describing inertia, acceleration, and action-reaction. This doesn't match the specific statement.
- Law of Orbits: Kepler's First Law states that planets move in elliptical orbits with the Sun at one focus. This is different from the area sweeping statement.
- Law of Periods: Kepler's Third Law relates the orbital period of a planet to the size of its orbit. This is also distinct from the given statement.
- Law of Areas: Kepler's Second Law directly corresponds to the statement provided, explaining how the area swept by the planet-sun line changes with time.
Conclusion
The statement is a direct definition of Kepler's Law of Areas.
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