Mécanique Céleste Vol.3
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in 142 566 THEORY OF THE MOON ; [Méc. Cél.
[5275] produces the term,* r53891 ^ \ 5^-g^" (l-2m).(3-2,.,).(10+19»»+8;».^) ^,o,,^^ } o /4.-4^.
^ ' 2a i 2—2m—c 4.(2c— 2+2m) ' '"^2-2»!$ * \-2CTf2n produces qu [5288/1] — -^■A'^e-'.cos.{4v—4mv—2cv) ; and this is the only term of [5288e], which is of sufficient importance to be noticed. The second term of [5273] is developed as in [4923r] ; and a little attention will show, that the only term of whi [4904], necessary to be noticed, is ./3^''e.cos. (2 «... — 2}nv — cv), [5288i] corresponding, in [4923iy], to k^=A[''>e, f^2— 2m— c=l, nearly. Combining this with the terra fc'.cos.v' [4923u, 4885 line 2], which is nearly equal to — 2ê.cos. {2v — 2m V — cv) ; making k' = — 2e, y'=z2v — 2mv — cv; we get, for the second term of [4923a;], the expression, [5288fc] —^.ikk'.cos.Uv—4mv—2cv) = —.A['k^.cos.{'iv—4mv—2cv).
4«, 2ffl, This is equal to the term [5288/i], but has a different sign ; so that the two terms destroy each other, as in [5288'] ; therefore, the whole of this function may be neglected.
What to read after Mécanique Céleste Vol.3?
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:
in 142 566 THEORY OF THE MOON ; [Méc. Cél.
[5275] produces the term,* r53891 ^ \ 5^-g^" (l-2m).(3-2,.,).(10+19»»+8;».^) ^,o,,^^ } o /4.-4^.
^ ' 2a i 2—2m—c 4.(2c— 2+2m) ' '"^2-2»!$ * \-2CTf2n produces qu [5288/1] — -^■A'^e-'.cos.{4v—4mv—2cv) ; and this is the only term of [5288e], which is of sufficient importance to be noticed. The second term of [5273] is developed as in [4923r] ; and a little attention will show, that the only term of whi [4904], necessary to be noticed, is ./3^''e.cos. (2 «... — 2}nv — cv), [5288i] corresponding, in [4923iy], to k^=A[''>e, f^2— 2m— c=l, nearly. Combining this with the terra fc'.cos.v' [4923u, 4885 line 2], which is nearly equal to — 2ê.cos. {2v — 2m V — cv) ; making k' = — 2e, y'=z2v — 2mv — cv; we get, for the second term of [4923a;], the expression, [5288fc] —^.ikk'.cos.Uv—4mv—2cv) = —.A['k^.cos.{'iv—4mv—2cv).
4«, 2ffl, This is equal to the term [5288/i], but has a different sign ; so that the two terms destroy each other, as in [5288'] ; therefore, the whole of this function may be neglected.
What to read after Mécanique Céleste Vol.3?
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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