Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 5
... appears from ( 4 ) , that the coefficient of cos ( me + D ) , in the expression for u , will be much greater than that in the original equation . This remark we shall find to be very important . The solution in the 4th case assumes a ...
... appears from ( 4 ) , that the coefficient of cos ( me + D ) , in the expression for u , will be much greater than that in the original equation . This remark we shall find to be very important . The solution in the 4th case assumes a ...
Page 6
... appears to describe about a planet is a conic section . = Let M - mass of Sun ( estimated by the accelerating force which its attraction produces at distance 1 ) , M ' that of the planet : let their distance = r : let u = 1 . The ...
... appears to describe about a planet is a conic section . = Let M - mass of Sun ( estimated by the accelerating force which its attraction produces at distance 1 ) , M ' that of the planet : let their distance = r : let u = 1 . The ...
Page 14
... appears , that the force on the Sun , and the motion of the Sun , are the same , as if a mass = E + M were collected at G ; therefore the relative motion of the center of gravity about the Sun , is the same as that of a mass = E + M ...
... appears , that the force on the Sun , and the motion of the Sun , are the same , as if a mass = E + M were collected at G ; therefore the relative motion of the center of gravity about the Sun , is the same as that of a mass = E + M ...
Page 15
... appear to have a latitude , which can be calculated from the latitude of the Moon . PERTURBATION OF THE MOON'S ... appears to be no better mode of estimating the disturbing force , than by resolving it into three parts , one in the ...
... appear to have a latitude , which can be calculated from the latitude of the Moon . PERTURBATION OF THE MOON'S ... appears to be no better mode of estimating the disturbing force , than by resolving it into three parts , one in the ...
Page 16
... appears to describe an ellipse in one plane : draw MB , EA , perpendicular to the plane of the ecliptic ; join m'M , m'B , BGA : let m'Gr ' , AB = p , EM = r , m'E = y , m'M = y ' , tan MGB = s . Then AB is the projection of EM on the ...
... appears to describe an ellipse in one plane : draw MB , EA , perpendicular to the plane of the ecliptic ; join m'M , m'B , BGA : let m'Gr ' , AB = p , EM = r , m'E = y , m'M = y ' , tan MGB = s . Then AB is the projection of EM on the ...
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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