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What is Newton's universal law of gravitation?
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Stated in modern language, Newton’s universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
- Overview
- Gravitation
- Planetary motion
- Second law
- Third Law
- Orbits
This article is about Kepler's laws of planetary motion which describe the motions of planets in the solar system that were derived by German astronomer Johannes Kepler with later contributions from Sir Isaac Newton for his law of gravitation. It also mentions how these laws apply not only to gravitational but also other inverse-square-law forces.
The article is about the laws of gravitation.
Kepler’s three laws describe the motions of planets in the solar system, including elliptical orbits and angular momentum.
A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time.
The squares of sidereal periods are directly proportional to cubes of mean distances from Sun.
Laws apply not only to gravitational but also to all other inverse-square-law forces and electromagnetic forces within atom if allowance made for relativistic and quantum effects.
- The Editors of Encyclopaedia Britannica
Jul 28, 2018 · Explanation: According to Newton's third law, For every action there is always an equal & opposite reaction. The gravitational force F G of attraction between any two point masses m1 & m2 separated by a distance d is given as. F G = Gm1m2 d2.
Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
- Figure \(\PageIndex{1}\): According to early accounts, Newton was inspired to make the connection between falling bodies and astronomical motions when he saw an apple fall from a tree and realized that if the gravitational force could extend above the ground to a tree, it might also reach the Sun.
- Figure \(\PageIndex{2}\): Gravitational attraction is along a line joining the centers of mass of these two bodies. The magnitude of the force is the same on each, consistent with Newton’s third law.
- Figure \(\PageIndex{3}\): The distance between the centers of mass of Earth and an object on its surface is very nearly the same as the radius of Earth, because Earth is so much larger than the object.
- Figure \(\PageIndex{4}\): The Moon causes ocean tides by attracting the water on the near side more than Earth, and by attracting Earth more than the water on the far side.
Newton proposed that gravity is a force of attraction between ALL objects that have mass. And the strength of the force is proportional to the product of the masses of the two objects and inversely proportional to the distance of separation between the object's centers.
It is possible to derive Kepler’s third law from Newton’s law of universal gravitation. Applying Newton’s second law of motion to angular motion gives an expression for centripetal force, which can be equated to the expression for force in the universal gravitation equation.
