FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2501448405> ?p ?o ?g. }

• W2501448405 endingPage "35" @default.
• W2501448405 startingPage "35" @default.
• W2501448405 abstract "We present an expression of the external gravitational field of a general ring-like object with axial and plane symmetries such as oval toroids or annular disks with an arbitrary density distribution. The main term is the gravitational field of a uniform, infinitely thin ring representing the limit of zero radial width and zero vertical height of the object. The additional term is derived from a zonal toroidal harmonic expansion of a general solution of Laplace's equation outside the Brillouin toroid of the object. The special functions required are the point value and the first-order derivative of the zonal toroidal harmonics of the first kind, namely, the Legendre function of the first kind of half integer degree and an argument that is not less than unity. We developed a recursive method to compute them from two pairs of seed values explicitly expressed by some complete elliptic integrals. Numerical experiments show that appropriately truncated expansions converge rapidly outside the Brillouin toroid. The truncated expansion can be evaluated so efficiently that, for an oval toroid with an exponentially damping density profile, it is 3000–10,000 times faster than the two-dimensional numerical quadrature. A group of the Fortran 90 programs required in the new method and their sample outputs are available electronically." @default.
• W2501448405 created "2016-08-23" @default.
• W2501448405 creator A5080223167 @default.
• W2501448405 date "2016-07-19" @default.
• W2501448405 modified "2023-09-25" @default.
• W2501448405 title "ZONAL TOROIDAL HARMONIC EXPANSIONS OF EXTERNAL GRAVITATIONAL FIELDS FOR RING-LIKE OBJECTS" @default.
• W2501448405 cites W1555515780 @default.
• W2501448405 cites W1631788275 @default.
• W2501448405 cites W1790421130 @default.
• W2501448405 cites W1971690400 @default.
• W2501448405 cites W1972097953 @default.
• W2501448405 cites W1985867766 @default.
• W2501448405 cites W1986287730 @default.
• W2501448405 cites W1986619410 @default.
• W2501448405 cites W2013943932 @default.
• W2501448405 cites W2018625178 @default.
• W2501448405 cites W2027789185 @default.
• W2501448405 cites W2033486730 @default.
• W2501448405 cites W2037442090 @default.
• W2501448405 cites W2038672065 @default.
• W2501448405 cites W2064997071 @default.
• W2501448405 cites W2068680076 @default.
• W2501448405 cites W2070421159 @default.
• W2501448405 cites W2077779111 @default.
• W2501448405 cites W2079732940 @default.
• W2501448405 cites W2082008070 @default.
• W2501448405 cites W2082205898 @default.
• W2501448405 cites W2089255543 @default.
• W2501448405 cites W2096594817 @default.
• W2501448405 cites W2099559854 @default.
• W2501448405 cites W2106175969 @default.
• W2501448405 cites W2115851564 @default.
• W2501448405 cites W2116952160 @default.
• W2501448405 cites W2130990037 @default.
• W2501448405 cites W2136749628 @default.
• W2501448405 cites W2139299569 @default.
• W2501448405 cites W2145480362 @default.
• W2501448405 cites W2155968700 @default.
• W2501448405 cites W2163441030 @default.
• W2501448405 cites W2167530280 @default.
• W2501448405 cites W2168805583 @default.
• W2501448405 cites W2255293258 @default.
• W2501448405 cites W2740748864 @default.
• W2501448405 cites W3099436410 @default.
• W2501448405 cites W3124916295 @default.
• W2501448405 cites W3147751559 @default.
• W2501448405 cites W4205109918 @default.
• W2501448405 cites W4241818959 @default.
• W2501448405 cites W4289981527 @default.
• W2501448405 doi "https://doi.org/10.3847/0004-6256/152/2/35" @default.
• W2501448405 hasPublicationYear "2016" @default.
• W2501448405 type Work @default.
• W2501448405 sameAs 2501448405 @default.
• W2501448405 citedByCount "6" @default.
• W2501448405 countsByYear W25014484052016 @default.
• W2501448405 countsByYear W25014484052017 @default.
• W2501448405 countsByYear W25014484052018 @default.
• W2501448405 countsByYear W25014484052020 @default.
• W2501448405 crossrefType "journal-article" @default.
• W2501448405 hasAuthorship W2501448405A5080223167 @default.
• W2501448405 hasBestOaLocation W25014484051 @default.
• W2501448405 hasConcept C111458787 @default.
• W2501448405 hasConcept C121332964 @default.
• W2501448405 hasConcept C134306372 @default.
• W2501448405 hasConcept C14257148 @default.
• W2501448405 hasConcept C15001198 @default.
• W2501448405 hasConcept C153262748 @default.
• W2501448405 hasConcept C33923547 @default.
• W2501448405 hasConcept C3768446 @default.
• W2501448405 hasConcept C52704855 @default.
• W2501448405 hasConcept C62520636 @default.
• W2501448405 hasConcept C74650414 @default.
• W2501448405 hasConcept C82706917 @default.
• W2501448405 hasConceptScore W2501448405C111458787 @default.
• W2501448405 hasConceptScore W2501448405C121332964 @default.
• W2501448405 hasConceptScore W2501448405C134306372 @default.
• W2501448405 hasConceptScore W2501448405C14257148 @default.
• W2501448405 hasConceptScore W2501448405C15001198 @default.
• W2501448405 hasConceptScore W2501448405C153262748 @default.
• W2501448405 hasConceptScore W2501448405C33923547 @default.
• W2501448405 hasConceptScore W2501448405C3768446 @default.
• W2501448405 hasConceptScore W2501448405C52704855 @default.
• W2501448405 hasConceptScore W2501448405C62520636 @default.
• W2501448405 hasConceptScore W2501448405C74650414 @default.
• W2501448405 hasConceptScore W2501448405C82706917 @default.
• W2501448405 hasIssue "2" @default.
• W2501448405 hasLocation W25014484051 @default.
• W2501448405 hasOpenAccess W2501448405 @default.
• W2501448405 hasPrimaryLocation W25014484051 @default.
• W2501448405 hasRelatedWork W1965572018 @default.
• W2501448405 hasRelatedWork W1974882663 @default.
• W2501448405 hasRelatedWork W2032693372 @default.
• W2501448405 hasRelatedWork W2039103338 @default.
• W2501448405 hasRelatedWork W2052103030 @default.
• W2501448405 hasRelatedWork W2058211108 @default.
• W2501448405 hasRelatedWork W2330920689 @default.
• W2501448405 hasRelatedWork W2803890690 @default.
• W2501448405 hasRelatedWork W3152994339 @default.

• next