Matches in SemOpenAlex for { <https://semopenalex.org/work/W25481608> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W25481608 endingPage "260" @default.
- W25481608 startingPage "242" @default.
- W25481608 abstract "This paper concerns a new solution, with increased precision, of the “main problem” of the lunar theory, i.e. the three-body problem where the Sun, Earth, and Moon behave as mass particles and the Sun moves about the center of gravity of the Earth-Moon system according to Kepler's laws. The solution gives the coordinates as harmonic series with constant coefficients and with arguments that are linear functions of the time with four fundamental frequencies. The method of solution is a numerical one in which the best previous solution is substituted into the differential equations and the resulting residuals are used to determine corrections to the substituted solution. Brown's series were used as a first approximation and the goal was to improve the coefficients by at least 2 orders of magnitude to 10 –10 . The process involved the solution of a set of 6325 variation equations with as many unknowns. The emphasis in this paper is upon the techniques of separating the equations and for treating the notorious small divisors in such a manner that a relaxation scheme is effective. The numerical results are analyzed, not for their astronomical implications, but for their consistency; and it is concluded that the method has not only succeeded thus far but may be extended further with certain adjustments for the worst cases of the divisors." @default.
- W25481608 created "2016-06-24" @default.
- W25481608 creator A5039328729 @default.
- W25481608 creator A5059472688 @default.
- W25481608 date "1966-01-01" @default.
- W25481608 modified "2023-10-18" @default.
- W25481608 title "The equations of variation in a numerical lunar theory" @default.
- W25481608 cites W2326100450 @default.
- W25481608 doi "https://doi.org/10.1017/s0074180900105546" @default.
- W25481608 hasPublicationYear "1966" @default.
- W25481608 type Work @default.
- W25481608 sameAs 25481608 @default.
- W25481608 citedByCount "1" @default.
- W25481608 countsByYear W254816082018 @default.
- W25481608 crossrefType "journal-article" @default.
- W25481608 hasAuthorship W25481608A5039328729 @default.
- W25481608 hasAuthorship W25481608A5059472688 @default.
- W25481608 hasConcept C121332964 @default.
- W25481608 hasConcept C127313418 @default.
- W25481608 hasConcept C134306372 @default.
- W25481608 hasConcept C143724316 @default.
- W25481608 hasConcept C151730666 @default.
- W25481608 hasConcept C15744967 @default.
- W25481608 hasConcept C177264268 @default.
- W25481608 hasConcept C199360897 @default.
- W25481608 hasConcept C2524010 @default.
- W25481608 hasConcept C2776029896 @default.
- W25481608 hasConcept C2776436953 @default.
- W25481608 hasConcept C2777027219 @default.
- W25481608 hasConcept C2778334786 @default.
- W25481608 hasConcept C28826006 @default.
- W25481608 hasConcept C33923547 @default.
- W25481608 hasConcept C41008148 @default.
- W25481608 hasConcept C44870925 @default.
- W25481608 hasConcept C62689967 @default.
- W25481608 hasConcept C77805123 @default.
- W25481608 hasConcept C78045399 @default.
- W25481608 hasConceptScore W25481608C121332964 @default.
- W25481608 hasConceptScore W25481608C127313418 @default.
- W25481608 hasConceptScore W25481608C134306372 @default.
- W25481608 hasConceptScore W25481608C143724316 @default.
- W25481608 hasConceptScore W25481608C151730666 @default.
- W25481608 hasConceptScore W25481608C15744967 @default.
- W25481608 hasConceptScore W25481608C177264268 @default.
- W25481608 hasConceptScore W25481608C199360897 @default.
- W25481608 hasConceptScore W25481608C2524010 @default.
- W25481608 hasConceptScore W25481608C2776029896 @default.
- W25481608 hasConceptScore W25481608C2776436953 @default.
- W25481608 hasConceptScore W25481608C2777027219 @default.
- W25481608 hasConceptScore W25481608C2778334786 @default.
- W25481608 hasConceptScore W25481608C28826006 @default.
- W25481608 hasConceptScore W25481608C33923547 @default.
- W25481608 hasConceptScore W25481608C41008148 @default.
- W25481608 hasConceptScore W25481608C44870925 @default.
- W25481608 hasConceptScore W25481608C62689967 @default.
- W25481608 hasConceptScore W25481608C77805123 @default.
- W25481608 hasConceptScore W25481608C78045399 @default.
- W25481608 hasLocation W254816081 @default.
- W25481608 hasOpenAccess W25481608 @default.
- W25481608 hasPrimaryLocation W254816081 @default.
- W25481608 hasRelatedWork W1542696977 @default.
- W25481608 hasRelatedWork W1985595419 @default.
- W25481608 hasRelatedWork W2023764497 @default.
- W25481608 hasRelatedWork W2074759558 @default.
- W25481608 hasRelatedWork W2321342552 @default.
- W25481608 hasRelatedWork W2348084478 @default.
- W25481608 hasRelatedWork W2354475496 @default.
- W25481608 hasRelatedWork W2384209446 @default.
- W25481608 hasRelatedWork W2903039228 @default.
- W25481608 hasRelatedWork W2938023845 @default.
- W25481608 hasVolume "25" @default.
- W25481608 isParatext "false" @default.
- W25481608 isRetracted "false" @default.
- W25481608 magId "25481608" @default.
- W25481608 workType "article" @default.