state the Kepler's 2nd laws of planetary motion.
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Kepler's second law states that a planet moves in its ellipse so that the line between it and the Sun placed at a focus sweeps out equal areas in equal times.
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In astronomy, Kepler’s laws of planetary motion are three scientific laws describing the motion of planets around the sun.
- Kepler first law – The law of orbits
- Kepler’s second law – The law of equal areas
- Kepler’s third law – The law of periods
Explanation:
As the orbit is not circular, the planet’s kinetic energy is not constant in its path. It has more kinetic energy near perihelion and less kinetic energy near aphelion implies more speed at perihelion and less speed (vmin) at aphelion. If r is the distance of planet from sun, at perihelion (rmin) and at aphelion (rmax), then,
rmin + rmax = 2a × (length of major axis of an ellipse) . . . . . . . (1)
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