Mécanique Céleste Vol.1
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In our eReader you can find the full English version of the book. Read Mécanique Céleste Vol.1 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Mécanique Céleste Vol.1
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] COS. Ï — COS. [2 at -+- s)\= At. cos. s ^ ■ — • > •' ' ^ ' ''* 2a i 2a 5 .Ji^dt. COS. a t -\ . f(^dt . sm. at = — — . -\ — - — . l — sm. a t . sin. i -j- cos. a t . cos. s \ ; -id (_ y and by [22] Int. the coefficient of ^ is = sin. [{2 at -\- s) — a /] = sin. {a t -|- e), and tlie other coefficient — sin. a t . sin. e -\- cos. a t . cos. e = cos. (« ^ -|- e), hence the preceding expression becomes — — - . sin. {at -\-s) -\- — — . cos. (a t -\- e). These are the terms produced by Q = A", sin.... {mt -{- s), and by writing é * + s for s we obtain tliose arising from Q = K .cos. [i/it -{- s), namely, «AT , , , aKt as in [871', 871"].
~I^ ■ ^°^- (" ^ + '^ " Ta" • *^°^' ^" ' "^ '^' 122 486 INTEGRATION OF [Méc. Cél.
nothing. Taking the differentials of these values i — 1 times successively, we shall form the differential equations of the order i — 1,* [672] c = V ; c'=V' ; &c.
The coefficients of — -^, -,— , in the differentials of V, V, k.c., being the values of F, F', &;c., H, H', &c., we must substitute them in the differential functions [864'] [873] dt.(FQ + F'Q' + kc.) ; dt .
What to read after Mécanique Céleste Vol.1?
You can find similar books in the "Read Also" column, or choose other free books by Bowditch, N. I. (Nathaniel Ingersoll), 1805-1861 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
] COS. Ï — COS. [2 at -+- s)\= At. cos. s ^ ■ — • > •' ' ^ ' ''* 2a i 2a 5 .Ji^dt. COS. a t -\ . f(^dt . sm. at = — — . -\ — - — . l — sm. a t . sin. i -j- cos. a t . cos. s \ ; -id (_ y and by [22] Int. the coefficient of ^ is = sin. [{2 at -\- s) — a /] = sin. {a t -|- e), and tlie other coefficient — sin. a t . sin. e -\- cos. a t . cos. e = cos. (« ^ -|- e), hence the preceding expression becomes — — - . sin. {at -\-s) -\- — — . cos. (a t -\- e). These are the terms produced by Q = A", sin.... {mt -{- s), and by writing é * + s for s we obtain tliose arising from Q = K .cos. [i/it -{- s), namely, «AT , , , aKt as in [871', 871"].
~I^ ■ ^°^- (" ^ + '^ " Ta" • *^°^' ^" ' "^ '^' 122 486 INTEGRATION OF [Méc. Cél.
nothing. Taking the differentials of these values i — 1 times successively, we shall form the differential equations of the order i — 1,* [672] c = V ; c'=V' ; &c.
The coefficients of — -^, -,— , in the differentials of V, V, k.c., being the values of F, F', &;c., H, H', &c., we must substitute them in the differential functions [864'] [873] dt.(FQ + F'Q' + kc.) ; dt .
What to read after Mécanique Céleste Vol.1?
You can find similar books in the "Read Also" column, or choose other free books by Bowditch, N. I. (Nathaniel Ingersoll), 1805-1861 to read onlineMoreLess
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