Orbit of Psyche a Revised Form of a Thesis Presented to the Faculty of the Univ

Cover Orbit of Psyche a Revised Form of a Thesis Presented to the Faculty of the Univ
Orbit of Psyche a Revised Form of a Thesis Presented to the Faculty of the Univ
Sidney Dean Townley
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1019 4- 0. 0389 = 4- 0. 0036 4- 0. 1056 4- 2. 1969 4- 0. 0145 0. 0006 4- 0. 0022 0. 0771 = 4- 1. 2117 0. 0295 4- 0. 0145 4- 2. 8858 4-1. 1727 4- 1. 4629 2. 7746 = 4- 2. 9460 0. 0919 0. 0006 4- 1. 1727 4- 2. 5804 4- 2. 8479 -1. 7881 = 4- 3. 2623 0. 1019 4- 0. 0022 4- 1. 4629 4- 2. 8479 4- 3. 2396 2. 1488 =i The similarity of the coefficients in the first ar^d sixth of these equations shows that the value of the unknowns determined from them will be somewhat uncertain. The "process of solution Av...as carried out, however, and the following elimination equations derived : 4- 3. 4798 x 0. 1090 y -f 0. 0036 s -f 1. 2117 u -f 2. 9460 v -\- 3. 2623 w 2. 0934 4. 1. 7919 4- 0. 1057 + 0. 0084 4- 0. 0004 4- 0. 0003 0. 0267 4- 2. 1907 4- 0. 0127 0. 0036 - 0. 0012 0. 0733 = 4- 2. 4638 -j- 0. 1469 4- 0. 3270 2. 0452 4- 0. 0775 4- 0. 0665 4-0. 1060 = 4- 0. 0808 0. 0059 = whence w = 4- 0. 0730 v 1. 4303 u = 0. 7351 The usual check quantities were carried through- out the formation and solution of the normal equa- tions.

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