Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308146089> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W4308146089 abstract "We study planar five-body central configurations with different positive masses. From Laura–Andoyer equations, we recover the variational formulation in terms of the potential energy and the total inertia moment, including constraints on the distances. We use coordinates to prove the permanence of the central configuration by Newton equations of motion. The masses appear in our coordinates, forming a rigid orthocentric simplex in four dimensions, with the masses at the vertices. The linear dimensions are determined by a distance. We use different angles, with one angle measuring the rotation around the center of mass. The rest of the coordinates are angles that are constants of motion for central configurations. One angle measures the ratio of the two principal moments of inertia. The rest of the coordinates determine the rotation around the center of mass of the rigid simplex of masses with respect to the plane and to the direction of projection from four to two dimensions. We transform the Laura–Andoyer equations into different expressions in 10 and 5 dimensions, including the properties of the areas formed by five point bodies in the plane. Furthermore, we presented three numerical computed configurations of planar five-body central configurations, one convex and two concave, which give numerical confirmation of our equations with a precision better than 10−12." @default.
- W4308146089 created "2022-11-08" @default.
- W4308146089 creator A5018642456 @default.
- W4308146089 date "2022-11-01" @default.
- W4308146089 modified "2023-09-29" @default.
- W4308146089 title "Planar central configurations with five different positive masses" @default.
- W4308146089 cites W1975422833 @default.
- W4308146089 cites W1993108081 @default.
- W4308146089 cites W2050914063 @default.
- W4308146089 cites W2068093029 @default.
- W4308146089 cites W2331423321 @default.
- W4308146089 cites W2339736205 @default.
- W4308146089 cites W2347022536 @default.
- W4308146089 cites W2464045706 @default.
- W4308146089 cites W3122536114 @default.
- W4308146089 cites W4213292463 @default.
- W4308146089 doi "https://doi.org/10.1063/5.0101256" @default.
- W4308146089 hasPublicationYear "2022" @default.
- W4308146089 type Work @default.
- W4308146089 citedByCount "0" @default.
- W4308146089 crossrefType "journal-article" @default.
- W4308146089 hasAuthorship W4308146089A5018642456 @default.
- W4308146089 hasConcept C10238366 @default.
- W4308146089 hasConcept C110407247 @default.
- W4308146089 hasConcept C11413529 @default.
- W4308146089 hasConcept C121332964 @default.
- W4308146089 hasConcept C121684516 @default.
- W4308146089 hasConcept C134306372 @default.
- W4308146089 hasConcept C134786449 @default.
- W4308146089 hasConcept C136364276 @default.
- W4308146089 hasConcept C14037181 @default.
- W4308146089 hasConcept C161326058 @default.
- W4308146089 hasConcept C17825722 @default.
- W4308146089 hasConcept C206647686 @default.
- W4308146089 hasConcept C2524010 @default.
- W4308146089 hasConcept C27451561 @default.
- W4308146089 hasConcept C31971599 @default.
- W4308146089 hasConcept C33923547 @default.
- W4308146089 hasConcept C36185635 @default.
- W4308146089 hasConcept C41008148 @default.
- W4308146089 hasConcept C47513753 @default.
- W4308146089 hasConcept C57493831 @default.
- W4308146089 hasConcept C74050887 @default.
- W4308146089 hasConcept C74650414 @default.
- W4308146089 hasConcept C80551277 @default.
- W4308146089 hasConceptScore W4308146089C10238366 @default.
- W4308146089 hasConceptScore W4308146089C110407247 @default.
- W4308146089 hasConceptScore W4308146089C11413529 @default.
- W4308146089 hasConceptScore W4308146089C121332964 @default.
- W4308146089 hasConceptScore W4308146089C121684516 @default.
- W4308146089 hasConceptScore W4308146089C134306372 @default.
- W4308146089 hasConceptScore W4308146089C134786449 @default.
- W4308146089 hasConceptScore W4308146089C136364276 @default.
- W4308146089 hasConceptScore W4308146089C14037181 @default.
- W4308146089 hasConceptScore W4308146089C161326058 @default.
- W4308146089 hasConceptScore W4308146089C17825722 @default.
- W4308146089 hasConceptScore W4308146089C206647686 @default.
- W4308146089 hasConceptScore W4308146089C2524010 @default.
- W4308146089 hasConceptScore W4308146089C27451561 @default.
- W4308146089 hasConceptScore W4308146089C31971599 @default.
- W4308146089 hasConceptScore W4308146089C33923547 @default.
- W4308146089 hasConceptScore W4308146089C36185635 @default.
- W4308146089 hasConceptScore W4308146089C41008148 @default.
- W4308146089 hasConceptScore W4308146089C47513753 @default.
- W4308146089 hasConceptScore W4308146089C57493831 @default.
- W4308146089 hasConceptScore W4308146089C74050887 @default.
- W4308146089 hasConceptScore W4308146089C74650414 @default.
- W4308146089 hasConceptScore W4308146089C80551277 @default.
- W4308146089 hasIssue "11" @default.
- W4308146089 hasLocation W43081460891 @default.
- W4308146089 hasOpenAccess W4308146089 @default.
- W4308146089 hasPrimaryLocation W43081460891 @default.
- W4308146089 hasRelatedWork W1949707632 @default.
- W4308146089 hasRelatedWork W1972057932 @default.
- W4308146089 hasRelatedWork W1990591270 @default.
- W4308146089 hasRelatedWork W2066503199 @default.
- W4308146089 hasRelatedWork W2352863348 @default.
- W4308146089 hasRelatedWork W2949918997 @default.
- W4308146089 hasRelatedWork W3023944961 @default.
- W4308146089 hasRelatedWork W35075408 @default.
- W4308146089 hasRelatedWork W4225614476 @default.
- W4308146089 hasRelatedWork W4308146089 @default.
- W4308146089 hasVolume "63" @default.
- W4308146089 isParatext "false" @default.
- W4308146089 isRetracted "false" @default.
- W4308146089 workType "article" @default.