The image below presents a greatly exaggerated view of a planet in orbit around the Sun: m Planet D M Sun In accordance with Kepler's first law of planetary motion, the shape of the orbit is an ellipse with the Sun at one focus. a) In your own words, state Kepler's second law of planetary motion, then explain how the law arises from a conservation principle (either energy or momentum). b) Again in your own words, state Kepler's third law of planetary motion, then explain how the law is derived from Newton's laws of motion and his law of universal gravitation.

Physics for Scientists and Engineers: Foundations and Connections
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Chapter7: Gravity
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Problem 15PQ: When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently,...
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The image below presents a greatly exaggerated view of a planet in orbit around the Sun:
Planet
m
M
Sun
In accordance with Kepler's first law of planetary motion, the shape of the orbit is an
ellipse with the Sun at one focus.
a) In your own words, state Kepler's second law of planetary motion, then explain how the
law arises from a conservation principle (either energy or momentum).
b) Again in your own words, state Kepler's third law of planetary motion, then explain how
the law is derived from Newton's laws of motion and his law of universal gravitation.
Transcribed Image Text:The image below presents a greatly exaggerated view of a planet in orbit around the Sun: Planet m M Sun In accordance with Kepler's first law of planetary motion, the shape of the orbit is an ellipse with the Sun at one focus. a) In your own words, state Kepler's second law of planetary motion, then explain how the law arises from a conservation principle (either energy or momentum). b) Again in your own words, state Kepler's third law of planetary motion, then explain how the law is derived from Newton's laws of motion and his law of universal gravitation.
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