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Kepler problem

In classical mechanics, the Kepler problem is a special case of the two-body problem, in which the two bodies interact by a central force that varies in strength as the inverse square of the distance between them. The force may be either attractive or repulsive. The problem is to find the position or speed of the two bodies over time given their masses…

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Overview

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History

Mathematical definition

Solution of the Kepler problem

Advanced semantic analysis

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Map overview Semantic statistics

Kepler problem

Nodes45
Edges44
Triples32
Avg. degree1.96
Density0.044444
Components1

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Kepler problem

Top relations

related to history · 16
Kepler problem → After, He, His, In, Isaac Newton, Johannes Kepler, Kepler, Kepler's, Newton, Next Newton, Principia, The Kepler, Theorema, Theorema II, Tycho Brahe, What
has application · 8
Kepler problem → Bertrand's, Coulomb’s, Examples, Kepler, Newtonian, The, The Kepler, They
see also · 4
Kepler problem → Action-angle, Jacobi, Lenz, Runge
is a · 2
Kepler problem → most important central force law, special case of the two-body problem

Important terminology Word statistics

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Important terminology

problem kepler force two motion inverse orbits mechanics displaystyle classical law square central orbit planetary solution kepler's laws general bodies

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Kepler problemis aspecial case of the two-body problem0.90text
Kepler problemis amost important central force law0.90text
the gravitational or electrostatic potentialinstance ofFor an inverse-square force law0.80text
the scalar potential can be written Vinstance ofFor an inverse-square force law0.80text
Kepler problemhas applicationThe0.60section
Kepler problemhas applicationKepler0.60section
Kepler problemhas applicationThe Kepler0.60section
Kepler problemhas applicationNewtonian0.60section
Kepler problemhas applicationExamples0.60section
Kepler problemhas applicationCoulomb’s0.60section
Kepler problemhas applicationThey0.60section
Kepler problemhas applicationBertrand's0.60section

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    Min side: 3
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