On the Convergency of the Series Used in the Determination of the Elements of Pa
On the Convergency of the Series Used in the Determination of the Elements of Pa
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To quickly assess the difficulty of the text, read a short excerpt:
ixi -r> 8/> 3 = M8 Pl + _ 8ft + g^- 8X 2 +* jg- Sft + /. - 8A 2, (34) where the partial derivatives are gotten from the expressions for m', m n ', m"', M', M", M'" given in (i) a, (2) a, and (3) a; owing to their length we omit them here. It is to be noticed, however, that BM'" . Here f^ is zero.
= - [ P - jR, cos ft cos (X, - Z z ) + R 3 cos ft cos (X, - Z 3 )] 8 Pl (35) + - [p 3 7? 3 cos ft cos (X 3 - L 3 ) + ^ cos ft cos (X 3 - Z f )] 8p 3 .
OF ELEMENTS OF PARABOLIC ORBITS 25 2K i I 3. 5---(...2"-3)/ s (36) where Kr^ -\- r 3 .
8r t = - [p x RI cos p l cos (X z Z, )], (37) *3 == ~^ [Ps ~~ -^3 COS A COS (^3 :r!5~t 3) (38) (r 3 -/) V 2r. -/ - (r, -/) I/ 2r 3 -/ 8r x ^ 3 2 ^ 8r, . (39) (r, - p)V, r t -p-(r, -p) V *r t -p ' * sin v x r t sin v z (40) 8^ = Sv 3 8v t . (41) 8r T + r, sin 2/ t cos /8i + ^ cos a, sin t'8u t, . .
r i (4 2 ) Bz 3 = 8r 3 -f- r 3 sin 3 cos i'S/ -(- ^ 3 cos 3 sin /8w 3, r s (43) X 8x t = 8r t y^l-\-z l sin H8/ r x [sin u t sin li cos w, cos Q cos /] 8w t, ^ x / "k 26 CONVERGENCY OF SERIES USED IN DETERMINATION This completes the list of formulae for obtaining the variations of the elements in terms of the variations 8ft, 8X 2 .
What to read after On the Convergency of the Series Used in the Determination of the Elements of Pa?
You can find similar books in the "Read Also" column, or choose other free books by William Albert Hamilton to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
ixi -r> 8/> 3 = M8 Pl + _ 8ft + g^- 8X 2 +* jg- Sft + /. - 8A 2, (34) where the partial derivatives are gotten from the expressions for m', m n ', m"', M', M", M'" given in (i) a, (2) a, and (3) a; owing to their length we omit them here. It is to be noticed, however, that BM'" . Here f^ is zero.
= - [ P - jR, cos ft cos (X, - Z z ) + R 3 cos ft cos (X, - Z 3 )] 8 Pl (35) + - [p 3 7? 3 cos ft cos (X 3 - L 3 ) + ^ cos ft cos (X 3 - Z f )] 8p 3 .
OF ELEMENTS OF PARABOLIC ORBITS 25 2K i I 3. 5---(...2"-3)/ s (36) where Kr^ -\- r 3 .
8r t = - [p x RI cos p l cos (X z Z, )], (37) *3 == ~^ [Ps ~~ -^3 COS A COS (^3 :r!5~t 3) (38) (r 3 -/) V 2r. -/ - (r, -/) I/ 2r 3 -/ 8r x ^ 3 2 ^ 8r, . (39) (r, - p)V, r t -p-(r, -p) V *r t -p ' * sin v x r t sin v z (40) 8^ = Sv 3 8v t . (41) 8r T + r, sin 2/ t cos /8i + ^ cos a, sin t'8u t, . .
r i (4 2 ) Bz 3 = 8r 3 -f- r 3 sin 3 cos i'S/ -(- ^ 3 cos 3 sin /8w 3, r s (43) X 8x t = 8r t y^l-\-z l sin H8/ r x [sin u t sin li cos w, cos Q cos /] 8w t, ^ x / "k 26 CONVERGENCY OF SERIES USED IN DETERMINATION This completes the list of formulae for obtaining the variations of the elements in terms of the variations 8ft, 8X 2 .
What to read after On the Convergency of the Series Used in the Determination of the Elements of Pa?
You can find similar books in the "Read Also" column, or choose other free books by William Albert Hamilton to read onlineMoreLess
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