The Collected Mathematical Works of George William Hill
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183-189, 1903.) "When it is desired to develop the coordinates or the Keplerian elements of a system of planets in infinite series, and there is no objection to the appearance of powers of the time in the expressions of the coefficients, the procedure to be followed is, in general, immediately apparent. But, when t is to be kept within the functional signs sine or cosine, the course to be adopted is not so clear. The difficulty is especially present when the prob- lem is to determine the secula...r values of the elements apart as far as possi- ble from the periodic terms. On this point the reader may be referred to Leverrier's statement of the course he pursued in the elaboration of his theory of Jupiter and Saturn (Annales de V Observatoire de Paris, Tom. X, pp. 99-103), and to the Nachtrag of Prof. Paul Harzer's prize memoir {Die Sacularen Veranderungen der Bahnen der grossen Planeten). As a practical matter, if it is desired to go beyond terms of the first order with respect to planetary masses, it is impossible to get the secular perturbations with- out at the same time consenting to the derivation of the periodic perturba- tions.
What to read after The Collected Mathematical Works of George William Hill?
You can find similar books in the "Read Also" column, or choose other free books by George William Hill to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
183-189, 1903.) "When it is desired to develop the coordinates or the Keplerian elements of a system of planets in infinite series, and there is no objection to the appearance of powers of the time in the expressions of the coefficients, the procedure to be followed is, in general, immediately apparent. But, when t is to be kept within the functional signs sine or cosine, the course to be adopted is not so clear. The difficulty is especially present when the prob- lem is to determine the secula...r values of the elements apart as far as possi- ble from the periodic terms. On this point the reader may be referred to Leverrier's statement of the course he pursued in the elaboration of his theory of Jupiter and Saturn (Annales de V Observatoire de Paris, Tom. X, pp. 99-103), and to the Nachtrag of Prof. Paul Harzer's prize memoir {Die Sacularen Veranderungen der Bahnen der grossen Planeten). As a practical matter, if it is desired to go beyond terms of the first order with respect to planetary masses, it is impossible to get the secular perturbations with- out at the same time consenting to the derivation of the periodic perturba- tions.
What to read after The Collected Mathematical Works of George William Hill?
You can find similar books in the "Read Also" column, or choose other free books by George William Hill to read onlineMoreLess
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