Question

write the three laws given by kepler how.did they help newton to arrive at the inverse laws of gravity​

Answer 1

Kepler’s three laws are:

1. The orbit of a planet is an ellipse, with the Sun at one focus
2. “Equal areas, equal times” — if you measure the area of the elliptical sector swept out by a planet over a specific time interval, it doesn’t matter where in the orbit the planet is — the answer will always be the same. (this is illustrated in the diagram above)
3. The “Harmonic Law”; the period of a planet’s orbit, squared, is equal to its mean distance from the Sun, cubed. It’s much simpler in an equation: P2=r3 . This is also P=r1.5 So, for example, Jupiter is is 5.2 times as far from the Sun as Earth is. So the period of its orbit, its year, is 5.21.5=11.86 years.

Newton derived Kepler’s Laws from the assumption that gravity followed an inverse-square law, thus demonstrating that an inverse-square law for gravity predicted Kepler’s laws of planetary orbits. The full derivation in the case of elliptical orbits takes some calculus and is a little messy, but I can give you a simple picture in the case of circular orbits here. In fact, what I’ll show you is that in the case of circular orbits, Kepler’s third law forces an inverse square law for gravity.

Answer 2

Answer:

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Explanation:

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