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Download PDF, EPUB, MOBI Monthly Notices of the Royal Astronomical Society Volume 57

Download PDF, EPUB, MOBI Monthly Notices of the Royal Astronomical Society Volume 57

Monthly Notices of the Royal Astronomical Society Volume 57 by Royal Astronomical Society

Monthly Notices of the Royal Astronomical Society Volume 57
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Author: Royal Astronomical Society
Page Count: 192 pages
Published Date: 01 Mar 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: Englishhttps://d20eq91zdmkqd.cloudfront.net/assets/images/book/large/9781/1305/9781130585100.jpg
ISBN: 9781130660210
File size: 12 Mb
File Name: Monthly.Notices.of.the.Royal.Astronomical.Society.Volume.57.pdf
Download Link: Monthly Notices of the Royal Astronomical Society Volume 57
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 Excerpt: ...of the remaining terms of Delaunay's expressions. The next line gives the resulting value which is thus obtained, and in the last line are the correct values resulting from:: .y calculations. When the possible errors of estimation are taken into account, the agreement is fairly satisfactory, except in the case of the terms depending upon e2. The results of the calculations for these latter are given in my paper 'On the Elliptic Inequalities in the Lunar Theory.' Feeling that the discordance was too great to rest on a single determination, I recalculated the whole of the inequalities depending on e2 by my later method. l An almost exact agreement with the earlier result was found, showing that certainly Delaunay's coefficient for ehn7, and perhaps that for e3 m6, are Acta. Math. vol. riii. pp. 1-36. Annals of Math. vol. ix. pp. 31-41. t Ann. de la Fac. des tc. de Toulouse, vol. vi. t C. R. vol. lxxiv. pp. 19 et sq., where these and the following results will be found. Amer. Jour. Math. vol. xv. pp. 244-263, 321-338. jj Ibid. vol. xyii. pp. 318-358. seriously wrong. It will be noticed that the small estimated remainder has the positive sign, whereas the true value shows that it should be a comparatively large quantity with the negative sign. 9. Terms of the Fourth Order.--The values of these must be obtained from Delaunay's expressions. The manner in which his method is carried out, taken in conjunction with the tests considered in 6, give us a reasonable assurance of their accuracy; doubt only arises from the estimated remainders. with a possible error due to wrong estimation of o"-oo5. It will be noticed that the error arises chiefly from the tents which contain y4, y8e2, aja' as factors. Annual Motion of the Perigee. 10. Gat...

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