Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 7
... effect it in a more general way , we shall first expand 1 1 + e cos ( 0 - B ) in a similar series . 13. If for cos ( 0 – B ) , we put we have which will 1 + e cos ( 0 - B ) 1 · 1 x + ( where x = e ( @ - B ) √ ( −1 ) ) , 2 1 e - 1 + ...
... effect it in a more general way , we shall first expand 1 1 + e cos ( 0 - B ) in a similar series . 13. If for cos ( 0 – B ) , we put we have which will 1 + e cos ( 0 - B ) 1 · 1 x + ( where x = e ( @ - B ) √ ( −1 ) ) , 2 1 e - 1 + ...
Page 14
... effects . Hence , the only accelerating force acting on the center m ' of gravity is and is in the direction of r ' ; and therefore the 12 ) center of gravity moves , very nearly , in the same manner in which a body placed at G would ...
... effects . Hence , the only accelerating force acting on the center m ' of gravity is and is in the direction of r ' ; and therefore the 12 ) center of gravity moves , very nearly , in the same manner in which a body placed at G would ...
Page 31
... effect of this term . 43. In consequence of the introduction of this term , our equation will have the following form ; d3u 0 = do - + u + & c . + Ae cos ( 0 − a ) + & c . Its integral therefore , by ( 5 ) , will contain , in the ...
... effect of this term . 43. In consequence of the introduction of this term , our equation will have the following form ; d3u 0 = do - + u + & c . + Ae cos ( 0 − a ) + & c . Its integral therefore , by ( 5 ) , will contain , in the ...
Page 47
... observing that M + M ' , a , n , there , correspond to μ , A , p , here , we should have in an undisturbed orbit A3p2 = μ . Hence , the relation between the Moon's mean distance and EXPLANATION OF THE EFFECT OF DIFFERENT TERMS . 47.
... observing that M + M ' , a , n , there , correspond to μ , A , p , here , we should have in an undisturbed orbit A3p2 = μ . Hence , the relation between the Moon's mean distance and EXPLANATION OF THE EFFECT OF DIFFERENT TERMS . 47.
Page 48
... effect of the different terms in the expression for the reciprocal of the Moon's distance . The first and greatest inequality of the reciprocal of the Moon's distance is c ( 0-2 ) . ae cos ce This , though similar to the inequality ...
... effect of the different terms in the expression for the reciprocal of the Moon's distance . The first and greatest inequality of the reciprocal of the Moon's distance is c ( 0-2 ) . ae cos ce This , though similar to the inequality ...
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Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Common terms and phrases
2π λ analyzing plate angle angular velocity attraction axis bright Cambridge cloth co-ordinates coefficient Consequently constant cos² Crown 8vo crystal curve depending different colours differential direction displacement distance disturbing force dR dR dt dt Earth elliptically polarized ellipticity equal equation expression extraordinary ray Fcap front function ƒ² glass h²)² Hence inclined integration intensity investigation length longitude mean anomaly Moon motion multiplied nearly node Nutation ordinary ray parallel particles perigee perihelion perpendicular plane of incidence plane of polarization plane of reflection point of Aries principal plane produced PROP proportion quantity radius vector refraction rhombohedron rings shew sin² spheroid Sun's suppose surface tangent tion tourmaline undulation vibration wave