Monthly Notices of the Royal Astronomical Society Volume 40-41

Monthly Notices of the Royal Astronomical Society Volume 40-41

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1880 edition. Excerpt: ...advantageous, to the preceding paper, and using it to abbreviate this communication where it appears possible to do so. (19.) The Sun's disturbing action is to be treated herein the same form as in the preceding articles; employing the symbol T for the ecliptic tangential accelerating force, and P for the ecliptic radial force measured from the Earth, and using V and v for the true longitudes of the Sun and Moon, R for the Sun's radius vector, and r for the Moon's radius vector, A for the semi-axis major of the Sun's apparent orbit, and a for the reciprocal of the non-periodic term in the reciprocal of the Moon's radius vector. The units of measure have been explained in the preceding part of the paper. Then--I r /As/r2 T a a "--0O83928. (jj.-). sin 2(-V) + 0000053(1).Q'. sin p I 5"-+-0083928. (g)'.(j)'. +1+ cos falFVJl-0000160. (g) ( )' cos 7=TJ; with some very small terms depending on the argument 13(11--V). These latter terms, as will be seen below, can only produce available results by being multiplied by other very small terms of nearly the same form, and the results will be far below our limits of accuracy for other terms. As regards cos -V in P (above), its factor is less than of the factor of cos 2(-V, and it will be multiplied by terms whose coefficients are less than q-of those of cos 2(0--V, so that its efficient result will be less thanyVj part. And that for T will be less than 1566 part. I therefore reject these terms, and use only the following: T I" If--83928 x x sin 2(v-V), P i I + 83928 + J + C0S l"-Vl (20.) Before entering on the details of treatment of these formula), it will be convenient to premise the following remarks. Our object is, to ascertain the effect produced in more

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  • Paperback
  • 189 x 246 x 18mm | 603g
  • English
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  • 1236893751
  • 9781236893758