Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 51
... respect . There are , besides , ( Article 59 ) these terms , - k2 4 sin ( 2gpt - 2y ) , and -3me ' sin ( mpt + B- 5 ) . The former of these , whose maximum is 412 " , depends upon the Moon's distance from the mean place of her node ...
... respect . There are , besides , ( Article 59 ) these terms , - k2 4 sin ( 2gpt - 2y ) , and -3me ' sin ( mpt + B- 5 ) . The former of these , whose maximum is 412 " , depends upon the Moon's distance from the mean place of her node ...
Page 52
sir George Biddell Airy. 65. In respect of magnitude , the evection is far the most important of the inequalities which are produced by the dis- turbing force of the Sun. And its effect on the position and eccentricity of the Moon's ...
sir George Biddell Airy. 65. In respect of magnitude , the evection is far the most important of the inequalities which are produced by the dis- turbing force of the Sun. And its effect on the position and eccentricity of the Moon's ...
Page 56
... respect , for the de- termination of s . 71. In carrying the approximation to higher orders , it sometimes happens , that a term will rise , by integration , two orders ; as for instance , a term of the sixth order in the equa- tion may ...
... respect , for the de- termination of s . 71. In carrying the approximation to higher orders , it sometimes happens , that a term will rise , by integration , two orders ; as for instance , a term of the sixth order in the equa- tion may ...
Page 61
... respect then the planetary theory is simpler than the lunar theory . error . On the other hand , the expansions of P , T , S , or the equivalent expressions , are much shorter in the lunar than in the planetary theory . For , these ...
... respect then the planetary theory is simpler than the lunar theory . error . On the other hand , the expansions of P , T , S , or the equivalent expressions , are much shorter in the lunar than in the planetary theory . For , these ...
Page 62
... respect to the co - ordinates of the disturbed planet ) of a function of their co - ordinates . Let x and y be the co - ordinates of the disturbed planet ( which we shall call m , ) the Sun being the origin , and x being measured ...
... respect to the co - ordinates of the disturbed planet ) of a function of their co - ordinates . Let x and y be the co - ordinates of the disturbed planet ( which we shall call m , ) the Sun being the origin , and x being measured ...
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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