Bertrand's theorem

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo bound orbits
gptkbp:countryOfPublication gptkb:French
gptkbp:describes central force potentials
gptkbp:field gptkb:classical_mechanics
https://www.w3.org/2000/01/rdf-schema#label Bertrand's theorem
gptkbp:namedAfter gptkb:Joseph_Bertrand
gptkbp:possibleValues inverse-square law potential
radial harmonic oscillator potential
gptkbp:publicationYear 1873
gptkbp:publishedIn gptkb:Comptes_Rendus
gptkbp:relatedTo gptkb:Kepler's_laws
celestial mechanics
orbital mechanics
planetary motion
harmonic oscillator
Newton's law of gravitation
gptkbp:state Only two types of central force potentials result in closed orbits for all bound particles
gptkbp:bfsParent gptkb:Bertrand's_postulate
gptkbp:bfsLayer 7