# Kepler s third law explained

##### [DOC File]Kepler's Laws of Planetary Motion

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Kepler's third law has many uses in astronomy! Although Kepler derived these laws for the motions of the planets around the Sun, they are found to be true for any object orbiting any other object. The fundamental nature of these rules and their wide applicability is why they are considered ``laws'' of nature.

##### [DOC File]A Practical use for Kepler’s laws:

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KEPLER’S THIRD LAW (Modified for mass calculation): T2 = (4(2 / GM)r3 . M = Total mass of system (Jupiter + Moon mass) G = universal gravitational constant = 6.67x10-11 (m3)/(kg*s2) r = mean distance of moon from Jupiter (in meters) T = orbital period of moon (in sec.) Jupiter’s mass is immense compared to the mass of its moons.

##### [DOC File]Physics Unit 5 The Physics of the Geosphere

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Kepler's Third Law: p2 = a3 Kepler observed in the law of harmonies that this ratio is the same for every planet in our solar system. Students should understand the value of one astronomical unit (AU) and the distance from the Earth to the sun (149,597,870.700 kilometers) in order to facilitate calculations for astronomical bodies orbiting our sun.

##### [DOC File]1)

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Kepler’s First Law. Kepler’s Second Law. Kepler’s Third Law. It is not explained by any of Kepler’s Laws. Consider two planets, A and B, orbiting a distant star. Planet B orbits twice as far from the star as Planet A does. How does Planet B’s orbital period compare to Planet A’s?

##### [DOC File]Demonstrating Circular Motion with a Model Satellite/Earth ...

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Kepler’s third law, which can be expressed as T = 2(r3/2/(GME)1/2 (4) Shows that the period of a satellite in circular orbit is proportional to the three-halves power of the orbital radius.

##### [DOC File]Physics Unit 3 Keplers Laws

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Kepler’s Third Law Kepler observed in the law of harmonies that this ratio is the same for every planet in our solar system. Students should understand the value of one astronomical unit (AU) and the distance from the Earth to the sun (149,597,870.700 kilometers) in order to facilitate calculations for astronomical bodies orbiting our sun.

##### [DOC File]INVERSE SQUARE LAW - PhilSci-Archive

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Newton, we saw, may assume Kepler’s so-called third law, prove the ISL, and then use it to deduce the first law. He can, conversely, begin with assuming Kepler’s second law, deduce the ISL and use it to prove the third law. And he can, finally, produce any other conic section by changing the parameters of the law.

##### [DOC File]The Revolution of the Moons of Jupiter

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Kepler’s Third Law relates the period of a satellite to its distance from the gravitating body holding it in orbit. Combined with Newton’s Law of Gravitation we can obtain the following relationship between the mass of a large gravitating body, in our case Jupiter, and the period and radius of an orbiting object, one of Jupiter’s moons.

##### [DOC File]1

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Newton showed mathematically that Kepler’s third law—the period-distance relationship—derives from the inverse square law for gravitation. 5. Newton’s modified version of Kepler’s third law, a(AU)3/P(yrs)2 = (m1 + m2)/mSun, is valid for any two objects orbiting each other as a result of their mutual gravitational attraction (a binary ...

##### [DOCX File]Kepler's Laws lab - collinsgregori

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, explained Brahe’s observations in mathematical terms and developed three laws of planetary motion. Kepler’s laws, together with . Newton’s Laws. of Inertia and Universal Gravitation, explain most planetary motion. KEPLER’S FIRST LAW . Kepler’s First Law, the “Law of Ellipses”

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