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. 1886 Excerpt: ...VI. INVESTIGATION AND APPLICATION OF NUMERICAL VALUE OF M; AND EXHIBITION OF REMAINING DISCORDANCES BETWEEN ORBITAL AND GRAVITATIONAL FORCES; OR, UNCORRECTED NUMERICAL ERRORS OF THE THREE FUNDAMENTAL EQUATIONS. Columns 73 To 77. NUMERICAL LUNAR THEORY. Section VI.--Investigation And Application Of The Value Op M: And ...
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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. 1886 Excerpt: ...VI. INVESTIGATION AND APPLICATION OF NUMERICAL VALUE OF M; AND EXHIBITION OF REMAINING DISCORDANCES BETWEEN ORBITAL AND GRAVITATIONAL FORCES; OR, UNCORRECTED NUMERICAL ERRORS OF THE THREE FUNDAMENTAL EQUATIONS. Columns 73 To 77. NUMERICAL LUNAR THEORY. Section VI.--Investigation And Application Of The Value Op M: And Exhibition Of The Remaining Discordances; Or, Uncorrected Numerical Values Of The Three Fundamental Equations. In every case of orbital motion under the action of centripetal force, there must be an equation between the mean periodic time, the mean radius vector or the mean parallax, and the masses of the attracting bodies. We have assumed the first and second of these; and the third consists in the use of Equation 10, combined with or corroborated by Equation 12; and we have therefore the means of determining the value of-r (which we have called M), or the masses of the attracting bodies. From our assumed (Delaunay's) values of the co-efficients of the terms in the series representing? v, and sine 1 (Columns 1, 15, and 24) we have (Section II., Part 2) formed Column 23, to be compared with M x Column 30 + Column 64; and (Section II. Part 3) Column 29, to be compared with M x Column 31 + Column 72; and not only ought these equations to hold generally, but they ought to hold specially for every term with different arguments; and if we employ each and every one to determine the value of M, the separate resulting values for M ought to be practically in accord. The following statement will show the result of this comparison for some of the terms. (It is to be remarked that the numbers in Columns 64 and 72 are considered to be theoretically correct, and numerically accurate). For Argument 1, --9960060 = M x--9959740 + 26830. For Argument 2, --549570 =...
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Add this copy of Numerical Lunar Theory... to cart. $45.36, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by Nabu Press.