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Shell theorem

In classical mechanics, the shell theorem gives gravitational simplifications that can be applied to objects inside or outside a spherically symmetric body. This theorem has particular application to astronomy.

Art, Outside a shell & Converses and generalizations

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Overview

Derivation of gravitational field outside of a solid sphere

Outside a shell

Inside a shell

Derivation using Gauss's law

Converses and generalizations

Newton's proofs

Shell theorem in general relativity

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Map overview Semantic statistics

Shell theorem

Nodes62
Edges61
Triples26
Avg. degree1.97
Density0.032258
Components1

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Shell theorem

Top relations

related to Derivation of gravitational field outside of a solid sphere · 10
Shell theorem → Arranging, Finally, First, GM, Hence, It, Newton's, Suppose, The, There
related to Shell theorem in general relativity · 7
Shell theorem → An, Birkhoff's, GR, Misner, Schwarzschild, Spherical, The
related to Converses and generalizations · 6
Shell theorem → Gurzadyan, However, If, It, Lambda, The
related to Derivation using Gauss's law · 2
Shell theorem → Gauss's, The
is a · 1
Shell theorem → immediate consequence of Gauss's law for gravity saying that

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Important terminology

displaystyle mass force sphere point gravitational shell frac theorem center inside radius field distance outside due spherically symmetric ring spherical

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Shell theoremis aimmediate consequence of Gauss's law for gravity saying that0.90text
Shell theoremrelated to Converses and generalizationsIt0.60section
Shell theoremrelated to Converses and generalizationsIf0.60section
Shell theoremrelated to Converses and generalizationsThe0.60section
Shell theoremrelated to Converses and generalizationsGurzadyan0.60section
Shell theoremrelated to Converses and generalizationsLambda0.60section
Shell theoremrelated to Converses and generalizationsHowever0.60section
Shell theoremrelated to Derivation of gravitational field outside of a solid sphereThere0.60section
Shell theoremrelated to Derivation of gravitational field outside of a solid sphereNewton's0.60section
Shell theoremrelated to Derivation of gravitational field outside of a solid sphereFirst0.60section
Shell theoremrelated to Derivation of gravitational field outside of a solid sphereArranging0.60section
Shell theoremrelated to Derivation of gravitational field outside of a solid sphereFinally0.60section

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