Give the explanation of Kepler’s third law.

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nikolicsavannahLv2

17 May 2023

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Related questions

What information did astronomers get from Newton’s version of Kepler’s third law?

Complete the statements from the choices given.

1. Earth is located at one _____ of the Moon’s orbit.

2. According to Kepler’s second law, Jupiter will be traveling most slowly around the sun when at ______.

3. Earth orbits in the shape of a/an _______ around the Sun.

4. The mathematical form of Kepler’s third law measures the period in years and the ______ in astronomical units (AU).

5. According to Kepler’s second law, Pluto will be traveling fastest around the sun when at ______.

The extent to which Mars’ orbit differs from a perfect circle is called its _______.

Choices:

Semimajor axis, perihelion, eccentricity, ellipse, aphelion, focus

greyyak244

Newton’s version of Kepler’s third law offers one of the few ways of determining the mass of objects in space. One form of this relationship is expressed in Equation 7.6. To derive it, however, we assumed the orbit of the less massive object is circular and is centered on the more massive object, which is not completely realistic. In reality, both objects move in an orbit in response to the gravitational force between them! A careful derivation shows that for two masses and in orbit around one another with semimajor axis a, the proper expression of Newton’s version of Kepler’s third law is