FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1917107968> ?p ?o ?g. }

• W1917107968 endingPage "1003" @default.
• W1917107968 startingPage "992" @default.
• W1917107968 abstract "Modeling the motion of the Earth's axis, i.e., its spin, nutation and its precession, is a prime example of our ongoing effort to simulate the behavior of complex mechanical systems. In fact, models of increasing complexity of this motion have been presented for more than 400 years leading to an increasingly accurate description. The objective of this paper is twofold namely, first, to provide a review of these efforts and, second, to provide an improved analysis, if possible, based on today's numerical possibilities. Newton himself treated the problem of the precession of the Earth, a.k.a. the precession of the equinoxes, in Liber III, Propositio XXXIX of his Principia 1. He decomposed the duration of the full precession into a part due to the Sun and another part due to the Moon, which would lead to a total duration of 25,918 years. This agrees fairly well with the experimentally observed value. However, Newton does not really provide a concise rational derivation of his result. This task was left to Chandrasekhar in Chapter 26 of his annotations to Newton's book 2. He follows an approach suggested by Scarborough 3 starting from Euler's equations for the gyroscope and by calculating the torques due to the Sun and to the Moon on a tilted spheroidal Earth. These differential equations can be solved approximately in an analytic fashion, yielding something close to Newton's more or less fortuitous result. However, the equations can also be treated more properly in a numerical fashion by using a Runge-Kutta approach allowing for a study of their general non-linear behavior. This paper will show how and discuss the outcome of the numerical solution. A comparison to actual measurements will also be attempted. When solving the Euler equations for the aforementioned case numerically it shows that besides the precessional movement of the Earth's axis there is also a nutational one present. However, as we shall show, if Scarborough's procedure is followed, the period of this nutation turns out to be roughly half a year with a very small amplitude whereas the observed (main) nutational period is much longer, namely roughly nineteen years, and much more intense amplitude-wise. The reason for this discrepancy is based on the assumption that the torques of both the Sun and the Moon are due to gravitational actions within the equinoctial plane. Whilst this is true for the Sun, the revolution of the Moon around the Earth occurs in a plane, which is inclined by roughly 5° w.r.t. the equinoctial. Moreover, this plane rotates such that the ascending and descending nodes of the moon precede with a period of roughly 18 years. If all of this is taken into account the analytically predicted nutation period will be of the order of the observed value 4, 5. As in the case of the precession we will provide a more stringent analysis based on a numerical solution of the Euler equations, which leads beyond the results presented in Sect.12.10 of 5." @default.
• W1917107968 created "2016-06-24" @default.
• W1917107968 creator A5062564374 @default.
• W1917107968 date "2015-03-16" @default.
• W1917107968 modified "2023-10-17" @default.
• W1917107968 title "The spin, the nutation, and the precession of the Earth's axis revisited from a (numerical) mechanics perspective" @default.
• W1917107968 cites W2003014973 @default.
• W1917107968 cites W2009447383 @default.
• W1917107968 cites W2011998341 @default.
• W1917107968 cites W2041593106 @default.
• W1917107968 cites W2120574741 @default.
• W1917107968 cites W2137499823 @default.
• W1917107968 cites W2138404061 @default.
• W1917107968 cites W2487803134 @default.
• W1917107968 cites W4211108269 @default.
• W1917107968 cites W4238293310 @default.
• W1917107968 cites W4300642385 @default.
• W1917107968 doi "https://doi.org/10.1002/zamm.201400252" @default.
• W1917107968 hasPublicationYear "2015" @default.
• W1917107968 type Work @default.
• W1917107968 sameAs 1917107968 @default.
• W1917107968 citedByCount "1" @default.
• W1917107968 countsByYear W19171079682022 @default.
• W1917107968 crossrefType "journal-article" @default.
• W1917107968 hasAuthorship W1917107968A5062564374 @default.
• W1917107968 hasBestOaLocation W19171079681 @default.
• W1917107968 hasConcept C104114177 @default.
• W1917107968 hasConcept C121332964 @default.
• W1917107968 hasConcept C33923547 @default.
• W1917107968 hasConcept C37025601 @default.
• W1917107968 hasConcept C42704618 @default.
• W1917107968 hasConcept C62520636 @default.
• W1917107968 hasConcept C74650414 @default.
• W1917107968 hasConcept C81502235 @default.
• W1917107968 hasConcept C97355855 @default.
• W1917107968 hasConceptScore W1917107968C104114177 @default.
• W1917107968 hasConceptScore W1917107968C121332964 @default.
• W1917107968 hasConceptScore W1917107968C33923547 @default.
• W1917107968 hasConceptScore W1917107968C37025601 @default.
• W1917107968 hasConceptScore W1917107968C42704618 @default.
• W1917107968 hasConceptScore W1917107968C62520636 @default.
• W1917107968 hasConceptScore W1917107968C74650414 @default.
• W1917107968 hasConceptScore W1917107968C81502235 @default.
• W1917107968 hasConceptScore W1917107968C97355855 @default.
• W1917107968 hasIssue "10" @default.
• W1917107968 hasLocation W19171079681 @default.
• W1917107968 hasOpenAccess W1917107968 @default.
• W1917107968 hasPrimaryLocation W19171079681 @default.
• W1917107968 hasRelatedWork W1191380602 @default.
• W1917107968 hasRelatedWork W2352729416 @default.
• W1917107968 hasRelatedWork W2354671697 @default.
• W1917107968 hasRelatedWork W2579692469 @default.
• W1917107968 hasRelatedWork W2728101 @default.
• W1917107968 hasRelatedWork W3011861429 @default.
• W1917107968 hasRelatedWork W3207017636 @default.
• W1917107968 hasRelatedWork W3211114355 @default.
• W1917107968 hasRelatedWork W4231435509 @default.
• W1917107968 hasRelatedWork W798151823 @default.
• W1917107968 hasVolume "95" @default.
• W1917107968 isParatext "false" @default.
• W1917107968 isRetracted "false" @default.
• W1917107968 magId "1917107968" @default.
• W1917107968 workType "article" @default.