On the Determination of Elliptic Orbits From Three Complete Observations
On the Determination of Elliptic Orbits From Three Complete Observations
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4147809 At . 4847187 9. 6854897 At . 5152812 9. 7120443 ri . 3358520 r. . 3624066 Hi 9. C692113 -B, . 3183722 ft 9. 562391G H. Mis. 597- r, r 3 r=2. 4959081 MKM01US OK TIIK NATIONAL ACADKMY OF SCIENCES. II. From the given positions we get : lo K -Y, i, . , )-, 9. 983. V. 1:, J. I711748 . Log-Y, 11796 9. 94 + 1" -V, V 9. C. 7: 9. 951 l-K fi '"I! Ji 8. 9845270 - '"K 9. 22H2738 7 log, log 9. OV. I0294 9. 94K 7. ;i. 10-J)549 + log C> 9. 124d. -'l:t + IVrt, . 9314993 ^_ G 3 '^ 3 . R, :, ;K304 . 8645...336 + PS . 1006681 + J' . 7i:itW4 + III. The preceding computations furnish the numerical values for the equations IIIi, III', 111, , III", III a, III'", which follow. Brackets indicate that logarithms have been substituted for nuuilu-rs. \'o have now to assume some values for the heliocentric distances r t, r t, r 3 . A mean propor- tional between the mean distances of Mars and Jupiter from tin- Hun suggests itself as a reasonable assumption. In order, however, to test the convergence of the computations, when the assump- tions are not happy, we will make the much less probable assumption (actually much farther from the truth) that the heliocentric distances are an arithmetieal mean between the distant >
What to read after On the Determination of Elliptic Orbits From Three Complete Observations?
You can find similar books in the "Read Also" column, or choose other free books by J Willard Josiah Willard Gibbs to read online
To quickly assess the difficulty of the text, read a short excerpt:
4147809 At . 4847187 9. 6854897 At . 5152812 9. 7120443 ri . 3358520 r. . 3624066 Hi 9. C692113 -B, . 3183722 ft 9. 562391G H. Mis. 597- r, r 3 r=2. 4959081 MKM01US OK TIIK NATIONAL ACADKMY OF SCIENCES. II. From the given positions we get : lo K -Y, i, . , )-, 9. 983. V. 1:, J. I711748 . Log-Y, 11796 9. 94 + 1" -V, V 9. C. 7: 9. 951 l-K fi '"I! Ji 8. 9845270 - '"K 9. 22H2738 7 log, log 9. OV. I0294 9. 94K 7. ;i. 10-J)549 + log C> 9. 124d. -'l:t + IVrt, . 9314993 ^_ G 3 '^ 3 . R, :, ;K304 . 8645...336 + PS . 1006681 + J' . 7i:itW4 + III. The preceding computations furnish the numerical values for the equations IIIi, III', 111, , III", III a, III'", which follow. Brackets indicate that logarithms have been substituted for nuuilu-rs. \'o have now to assume some values for the heliocentric distances r t, r t, r 3 . A mean propor- tional between the mean distances of Mars and Jupiter from tin- Hun suggests itself as a reasonable assumption. In order, however, to test the convergence of the computations, when the assump- tions are not happy, we will make the much less probable assumption (actually much farther from the truth) that the heliocentric distances are an arithmetieal mean between the distant >
What to read after On the Determination of Elliptic Orbits From Three Complete Observations?
You can find similar books in the "Read Also" column, or choose other free books by J Willard Josiah Willard Gibbs to read online
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