The Scientific Papers of John Couch Adams
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231, which is also carried as far as e", there are the following errata, which are evidently merely typographical : viz. in the coefficient of — cos Sg, instead of 3M1 ,,,,,, , 3M1 ,, e'' should be + _,„ _ ^ e".
2". 5. 7 2". 5. 7 and in the coefficient of — cosl2g', instead of e^^ should be , ' , , e^'' 5^7.11 5\7.11 Oriani's formula for the radius vector has been examined and found correct.
A very good investigation of the general term of the expansion of the true anomaly in terms of the mean ...is likewise given in a paper by Mr Greatheed, in the first volume of the Cambridge Mathematical Journal, p. 208 (p. 228 in the second edition).
The approximate expression for the eccentric anomaly in terms of the mean given by Dr Morrison in the latter part of his paper coincides with the first two terms of the series found in Keill's Astronomical Lectures, p. 291 (5th edition, 1760), and the method of correcting an approximately known value which Dr Morrison quotes from Encke is identical with Newton's method for the same purpose, which is also explained in Keill's Lectures, p.
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To quickly assess the difficulty of the text, read a short excerpt:
231, which is also carried as far as e", there are the following errata, which are evidently merely typographical : viz. in the coefficient of — cos Sg, instead of 3M1 ,,,,,, , 3M1 ,, e'' should be + _,„ _ ^ e".
2". 5. 7 2". 5. 7 and in the coefficient of — cosl2g', instead of e^^ should be , ' , , e^'' 5^7.11 5\7.11 Oriani's formula for the radius vector has been examined and found correct.
A very good investigation of the general term of the expansion of the true anomaly in terms of the mean ...is likewise given in a paper by Mr Greatheed, in the first volume of the Cambridge Mathematical Journal, p. 208 (p. 228 in the second edition).
The approximate expression for the eccentric anomaly in terms of the mean given by Dr Morrison in the latter part of his paper coincides with the first two terms of the series found in Keill's Astronomical Lectures, p. 291 (5th edition, 1760), and the method of correcting an approximately known value which Dr Morrison quotes from Encke is identical with Newton's method for the same purpose, which is also explained in Keill's Lectures, p.
What to read after The Scientific Papers of John Couch Adams?
You can find similar books in the "Read Also" column, or choose other free books by John Couch Adams to read onlineMoreLess
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