gravitation
Quick Summary
Gravitation is the universal force of attraction acting between all bodies of matter. It is the weakest of the four fundamental forces but is the most pervasive, acting on all forms of mass and energy.12
Newton's Law of Gravitation
In 1687, Isaac Newton proposed that the force between two masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically, this is expressed as:
[ F = G\frac{m_1 m_2}{R^2} ]
where F is the force, G is the gravitational constant, m1 and m2 are the masses, and R is the distance between them.32
Einstein's Theory of General Relativity
In the early 20th century, Albert Einstein presented a new view of gravity, not as a force, but as a consequence of the curvature of space-time caused by mass and energy. Massive objects warp space-time around them, and other objects follow these curves, which we perceive as gravitational attraction. While Newton's theory is sufficient for most applications, Einstein's theory provides more accurate predictions in certain extreme cases.421
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principles of physical scienceLaw of gravitation…accelerate equally implies that the gravitational force causing acceleration bears a constant relation to the inertial mass. According to Newton’s postulated law of gravitation, two bodies of mass m1 and m2, separated by a distance r, exert equal attractive forces on each other (the equal action and reaction of the…
Read More…accelerate equally implies that the gravitational force causing acceleration bears a constant relation to the inertial mass. According to Newton’s postulated law of gravitation, two bodies of mass m1 and m2, separated by a distance r, exert equal attractive forces on each other (the equal action and reaction of the…
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principles of physical scienceGauss’s theorem…takes the same form in gravitational theory, the flux of gravitational field lines through a closed surface being determined by the total mass within. This enables a proof to be given immediately of a problem that caused Newton considerable trouble. He was able to show, by direct summation over all…
Read More…takes the same form in gravitational theory, the flux of gravitational field lines through a closed surface being determined by the total mass within. This enables a proof to be given immediately of a problem that caused Newton considerable trouble. He was able to show, by direct summation over all…
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physicsThe study of gravitationThis field of inquiry has in the past been placed within classical mechanics for historical reasons, because both fields were brought to a high state of perfection by Newton and also because of its universal character. Newton’s gravitational law states that every material particle…
Read MoreThis field of inquiry has in the past been placed within classical mechanics for historical reasons, because both fields were brought to a high state of perfection by Newton and also because of its universal character. Newton’s gravitational law states that every material particle…
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celestial mechanicsNewton’s laws of motion…was the same as the gravitational force attracting objects to Earth. Newton further concluded that the force of attraction between two massive bodies was proportional to the inverse square of their separation and to the product of their masses, known as the law of universal gravitation. Kepler’s laws are derivable…
Read More…was the same as the gravitational force attracting objects to Earth. Newton further concluded that the force of attraction between two massive bodies was proportional to the inverse square of their separation and to the product of their masses, known as the law of universal gravitation. Kepler’s laws are derivable…
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celestial mechanicsTidal evolution…high orbital eccentricity leads to gravitational torques that make synchronous rotation unstable. As a result, the tides have brought Hyperion to a state where it tumbles chaotically with large changes in the direction and magnitude of its spin on time scales comparable to its orbital period of about 21 days.
Read More…high orbital eccentricity leads to gravitational torques that make synchronous rotation unstable. As a result, the tides have brought Hyperion to a state where it tumbles chaotically with large changes in the direction and magnitude of its spin on time scales comparable to its orbital period of about 21 days.
Read More- cosmologyGravitation and the geometry of space-time
The physical foundation of Einstein’s view of gravitation, general relativity, lies on two empirical findings that he elevated to the status of basic postulates. The first postulate is the relativity principle: local physics is governed by the theory of…
Read MoreThe physical foundation of Einstein’s view of gravitation, general relativity, lies on two empirical findings that he elevated to the status of basic postulates. The first postulate is the relativity principle: local physics is governed by the theory of…
Read More - universeThe Copernican revolution
The law of universal gravitation generalized the work of Galileo and the English physicist Robert Hooke on terrestrial gravity, asserting that two massive bodies attract one another with a force directly proportional to the product of their masses and inversely proportional to the square of their separation distance. By…
Read MoreThe law of universal gravitation generalized the work of Galileo and the English physicist Robert Hooke on terrestrial gravity, asserting that two massive bodies attract one another with a force directly proportional to the product of their masses and inversely proportional to the square of their separation distance. By…
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electromagnetic radiationEffect of gravitationThe energy of the quanta of electromagnetic radiation is subject to gravitational forces just like a mass of magnitude m = hν/c2. This is so because the relationship of energy E and mass m is E = mc2. As a consequence, light…
Read MoreThe energy of the quanta of electromagnetic radiation is subject to gravitational forces just like a mass of magnitude m = hν/c2. This is so because the relationship of energy E and mass m is E = mc2. As a consequence, light…
Read More- orbital velocity
…in a straight line, while gravitational force tends to pull it down. The orbital path, elliptical or circular, thus represents a balance between gravity and inertia. A cannon fired from a mountaintop will throw a projectile farther if its muzzle velocity is increased. If velocity is made high enough the…
Read More…in a straight line, while gravitational force tends to pull it down. The orbital path, elliptical or circular, thus represents a balance between gravity and inertia. A cannon fired from a mountaintop will throw a projectile farther if its muzzle velocity is increased. If velocity is made high enough the…
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solar systemFormation of ring systemsWithin this distance the gravitational attraction of two small bodies for each other is smaller than the difference in the attraction of the planet for each of them. Hence, the two cannot accrete to form a larger object. Moreover, because a planet’s gravitational field acts to disperse the distribution…
Read MoreWithin this distance the gravitational attraction of two small bodies for each other is smaller than the difference in the attraction of the planet for each of them. Hence, the two cannot accrete to form a larger object. Moreover, because a planet’s gravitational field acts to disperse the distribution…
Read More- spectroscopyMethods
…due to the emission of gravitational radiation. The existence of gravitational radiation was predicted by Einstein’s general theory of relativity but not seen directly until 2015.
Read More…due to the emission of gravitational radiation. The existence of gravitational radiation was predicted by Einstein’s general theory of relativity but not seen directly until 2015.
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mechanicsCentrifugal force…where it is largest, the gravitational acceleration g is about 0.5 percent smaller than at the poles, where there is no centrifugal force. This same centrifugal force is responsible for the fact that Earth is slightly nonspherical, bulging just a bit at the Equator.
Read More…where it is largest, the gravitational acceleration g is about 0.5 percent smaller than at the poles, where there is no centrifugal force. This same centrifugal force is responsible for the fact that Earth is slightly nonspherical, bulging just a bit at the Equator.
Read More- Coulomb force
…still another basic physical force, gravitation, which though much weaker than the electric force, is always attractive and is the dominant force at great distances. At distances between these extremes, including the distances of everyday life, the only significant physical force is the electric force in its many varieties along…
Read More…still another basic physical force, gravitation, which though much weaker than the electric force, is always attractive and is the dominant force at great distances. At distances between these extremes, including the distances of everyday life, the only significant physical force is the electric force in its many varieties along…
Read More - equivalence principle
…of physics that states that gravitational and inertial forces are of a similar nature and often indistinguishable. In the Newtonian form it asserts, in effect, that, within a windowless laboratory freely falling in a uniform gravitational field, experimenters would be unaware that the laboratory is in a state of nonuniform…
Read More…of physics that states that gravitational and inertial forces are of a similar nature and often indistinguishable. In the Newtonian form it asserts, in effect, that, within a windowless laboratory freely falling in a uniform gravitational field, experimenters would be unaware that the laboratory is in a state of nonuniform…
Read More - weight
…has a property called the gravitational field at that point, numerically equal to the acceleration of gravity at that point. Alternatively, weight is the product of an object’s mass and either the gravitational field or the acceleration of gravity at the point where the object is located.
Read More…has a property called the gravitational field at that point, numerically equal to the acceleration of gravity at that point. Alternatively, weight is the product of an object’s mass and either the gravitational field or the acceleration of gravity at the point where the object is located.
Read More - freefall
…move in a slightly different gravitational field. Earth is in free fall, but the pull of the Moon is not the same at Earth’s surface as at its centre; the rise and fall of ocean tides occur because the oceans are not in perfect free fall.
Read More…move in a slightly different gravitational field. Earth is in free fall, but the pull of the Moon is not the same at Earth’s surface as at its centre; the rise and fall of ocean tides occur because the oceans are not in perfect free fall.
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