Bulletin of the Philosophical Society of Washington Volume 12 download pdf
Bulletin of the Philosophical Society of Washington Volume 12 download pdf

Bulletin of the Philosophical Society of Washington Volume 12 by Philosophical Society of Washington
Bulletin of the Philosophical Society of Washington Volume 12
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Author: Philosophical Society of Washington
Number of Pages: 176 pages
Published Date: 01 Mar 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
Format: eBook
ISBN: 9781130524567
File size: 43 Mb
Download Link: Bulletin of the Philosophical Society of Washington Volume 12
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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. 1895 Excerpt: ...constant and u, the relative velocity of moonlet and moon, varies as----or approximately as D--d, the distance between the orbits. fAt a distance c from the moon's center a moonlet has the initial velocity u. Placing the origin at the moon's center and the axis of reference parallel to the direction of the initial velocity, the polar equation to the moonlet's orbit is--Vu2/fi c c n J where p is the radius vector, B its inclination to the axis of reference, 6 the length of a perpendicular drawn to the axis from the point where the n being the relative number of colliding moonlets whose" angle of incidence is less than i. It indicates that 58 per cent. deviate less than 20 from the vertical, 70 per cent. less than 30, and 80 per cent. less than 40; and it yields the distribution curve marked C in Fig. 12. The theoretic distribution obtained by this partial treatment accords so well with the phenomena under discussion 269 velocity is u, a the distance from the foot of that perpendicular to the origin, and I the constant of gravitation for the moon. The radius of the moon being r, the condition that the moonlet collides with the moon is--The general expression for the angle of incidence, i, is--in which 2//r = V = the square of the velocity acquired by a body falling to the moon from an infinite distance. Since r/c is a small fraction and 2/I/ru2 is a large number--rini = (nearly). By postulate (preceding note) u varies as 6, and since r and Fare both constant--6 = / sin i X constant. The curves A, B, and Cof Fig. 12 represent the distribution of incident bodies with reference to angles of incidence under the laws expressed severally in the formulas: n = sin t, n = sin i, and n = ysin t, n being the percentage of bodies whose incidence angle is less than t...

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