law of universal gravitation

E5005

The law of universal gravitation is Newton’s fundamental physical law stating that every pair of masses in the universe attracts each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.

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Statements (47)

Predicate Object
instanceOf gravitational law
inverse-square law
physical law
alsoKnownAs Newton’s law of gravitation
Newton’s law of universal gravitation
appliesTo every pair of masses in the universe
approximationOf general relativity in weak-field limit
assumes instantaneous action at a distance
point masses or spherically symmetric mass distributions
category Newtonian gravity
dependsOn distance between the interacting bodies
masses of the interacting bodies
describes gravitational attraction between masses
domainOfValidity non-relativistic speeds
weak gravitational fields
explains Kepler’s laws of planetary motion
free-fall acceleration near Earth
tides qualitatively
field celestial mechanics
classical mechanics
forceDirection along the line joining the centers of mass
formulatedBy Isaac Newton
historicalPeriod 17th century
ignores quantum effects
relativistic effects
implies gravitational force decreases with distance
gravitational interaction is universal
includesConstant gravitational constant
influenced development of celestial mechanics
development of classical mechanics
inspiredBy Kepler’s laws of planetary motion
inverselyProportionalTo square of the distance between the masses
languageOfOriginalPublication Latin
mathematicalForm F = G * (m1 * m2) / r^2
predicts elliptical orbits under central gravitational force
proportionalTo product of the interacting masses
publicationYear 1687
publishedIn Philosophiæ Naturalis Principia Mathematica
relatedTo Cavendish experiment
replacedBy general relativity in strong gravitational fields
statesThat every mass attracts every other mass with a gravitational force
symbolOfConstant G
typeOfForce central force
usedIn calculating weight near Earth’s surface
describing satellite orbits
predicting planetary motion
usedToDetermine value of the gravitational constant G

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Referenced by (22)

Full triples — surface form annotated when it differs from this entity's canonical label.

Isaac Newton knownFor law of universal gravitation
Newtonian gravitational constant G appearsInLaw Newton's law of universal gravitation
linked to: law of universal gravitation
Newtonian gravitational constant G appearsInTheory Newtonian gravity
linked to: law of universal gravitation
law of universal gravitation alsoKnownAs Newton’s law of universal gravitation
linked to: law of universal gravitation
law of universal gravitation alsoKnownAs Newton’s law of gravitation
linked to: law of universal gravitation
law of universal gravitation category Newtonian gravity
linked to: law of universal gravitation
Philosophiæ Naturalis Principia Mathematica formulates law of universal gravitation
Philosophiæ Naturalis Principia Mathematica contains law of universal gravitation
Pierre-Louis Moreau de Maupertuis supportedTheory Newtonian theory of universal gravitation
linked to: law of universal gravitation
Cavendish experiment basedOn Newton's law of universal gravitation
linked to: law of universal gravitation
De mundi systemate usesTheory law of universal gravitation
Mécanique céleste usesTheoryOf Newtonian gravitation
linked to: law of universal gravitation
Galilean transformations usedIn Newtonian gravity
linked to: law of universal gravitation
Newtonian celestial mechanics basedOn Newton's law of universal gravitation
linked to: law of universal gravitation
Jacobi integral assumes Newtonian gravity
linked to: law of universal gravitation
Translation of Newton's Philosophiæ Naturalis Principia Mathematica into French translationOf Newton's law of universal gravitation
linked to: law of universal gravitation
Our Picture of the Universe discusses Newton’s law of universal gravitation
linked to: law of universal gravitation
Gravity from the Ground Up about Newtonian gravity
linked to: law of universal gravitation
Gravity from the Ground Up teaches Newtonian gravity
linked to: law of universal gravitation
Isaac Newton notableIdea law of universal gravitation
subject linked to: Newton
manuscripts of Isaac Newton containsWorkOn universal gravitation
linked to: law of universal gravitation
Nordström's scalar theory of gravitation comparedWith Newtonian gravity
linked to: law of universal gravitation