Mathematical tracts on the lunar and planetary theories [&c.]. |
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Stranica 1
... equation will several times occur , and it will therefore be convenient to pre- mise its solution . As the cases of ... equation d'u de2 + n2u + → = 0 ; → being a function of 0 and constants only . Multiply the equation by cos no * , d ...
... equation will several times occur , and it will therefore be convenient to pre- mise its solution . As the cases of ... equation d'u de2 + n2u + → = 0 ; → being a function of 0 and constants only . Multiply the equation by cos no * , d ...
Stranica 4
... equation with greater ease , by assuming an expression with indeterminate coefficients . Thus , if we had the equation d2u de2 + n3u + a + b cos ( me + B ) + p cos ( q0 + Q ) = 0 , we might assume α 2 u == n2 + A cos ( no + C ) + D cos ...
... equation with greater ease , by assuming an expression with indeterminate coefficients . Thus , if we had the equation d2u de2 + n3u + a + b cos ( me + B ) + p cos ( q0 + Q ) = 0 , we might assume α 2 u == n2 + A cos ( no + C ) + D cos ...
Stranica 5
... equation . This remark we shall find to be very important . The solution in the 4th case assumes a form different from any of the others : its peculiarity will materially affect our future operations . MOTION OF TWO BODIES . 8. IF the ...
... equation . This remark we shall find to be very important . The solution in the 4th case assumes a form different from any of the others : its peculiarity will materially affect our future operations . MOTION OF TWO BODIES . 8. IF the ...
Stranica 6
... equation cited in Article 8 , du + u d02 - the solution of which , by ( 3 ) , is M + M ' M + M ' h2 - u = ha + A cos ( 0 – B ) , - 1 + A cos ( 0 - B ) h2 or r = M + M ' which is the general polar equation to the conic sections , the ...
... equation cited in Article 8 , du + u d02 - the solution of which , by ( 3 ) , is M + M ' M + M ' h2 - u = ha + A cos ( 0 – B ) , - 1 + A cos ( 0 - B ) h2 or r = M + M ' which is the general polar equation to the conic sections , the ...
Stranica 19
... equations , for the motion of a body about a fixed center , acted on by forces in these directions . 30. PROP . 10. To find the differential equations for the motion of M about the fixed center E. Let Ev , Fig . 3 , be a straight line ...
... equations , for the motion of a body about a fixed center , acted on by forces in these directions . 30. PROP . 10. To find the differential equations for the motion of M about the fixed center E. Let Ev , Fig . 3 , be a straight line ...
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Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy Pregled nije dostupan - 2019 |
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy Pregled nije dostupan - 2019 |
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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