An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1859 - 119 σελίδες |
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Σελίδα vi
... inclination of the orbit . Laplace , Damoiseau , Plana , and also Herschel and Airy in their more elementary works , have found it more con- venient to express the variations of the latitude directly , by an equation of the same form as ...
... inclination of the orbit . Laplace , Damoiseau , Plana , and also Herschel and Airy in their more elementary works , have found it more con- venient to express the variations of the latitude directly , by an equation of the same form as ...
Σελίδα xi
... Inclination of the Moon's orbit and motion of the Node cal- culated by Hipparchus 116 126 Tycho Brahe's discovery of the change of inclination and of the want of uniformity in the motion of the Node 127 His construction to represent ...
... Inclination of the Moon's orbit and motion of the Node cal- culated by Hipparchus 116 126 Tycho Brahe's discovery of the change of inclination and of the want of uniformity in the motion of the Node 127 His construction to represent ...
Σελίδα 32
... inclination is of the first order , therefore s is at least of the first order and s2 may be neglected . Therefore , from Art . ( 23 ) , P T Ps - S = и u3 = 0 ; = 0 , and the differential equations become d'u μ + u = do h2 " d's de + s ...
... inclination is of the first order , therefore s is at least of the first order and s2 may be neglected . Therefore , from Art . ( 23 ) , P T Ps - S = и u3 = 0 ; = 0 , and the differential equations become d'u μ + u = do h2 " d's de + s ...
Σελίδα 70
... inclination of the orbit . It would therefore be the same in an orbit originally circular , whose plane coincided with the plane of the ecliptic : it is thus that Newton has con- sidered it . Princip . Prop . 66 , Cor . 3 , 4 , and 5 ...
... inclination of the orbit . It would therefore be the same in an orbit originally circular , whose plane coincided with the plane of the ecliptic : it is thus that Newton has con- sidered it . Princip . Prop . 66 , Cor . 3 , 4 , and 5 ...
Σελίδα 71
... inclination of the moon's orbit , and therefore , like the variation , would be the same in an orbit originally circular . Vide Newton , Principia , Prop . 66 , Cor . 6 . Reduction . 76. Before considering the effect of the term - k2 4 ...
... inclination of the moon's orbit , and therefore , like the variation , would be the same in an orbit originally circular . Vide Newton , Principia , Prop . 66 , Cor . 6 . Reduction . 76. Before considering the effect of the term - k2 4 ...
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accelerating forces Algebra angle angular velocity annual equation apogee approximation apse line argument astronomers attraction Author has endeavoured body calculated CAMBRIDGE CLASS BOOKS centre chapter cloth coefficient Collection of Examples connexion considered correction cos2 Crown 8vo determine differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic elliptic inequality epicycle equal evection expression fixed plane h2u³ higher order Hipparchus inclination ISAAC TODHUNTER John's College late Fellow Latin latitude Lunar M.A. Fellow mean motion mean place mean value method moon moon's mean longitude moon's motion moon's orbit nearly node numerous Examples observations obtained octants order of approximation particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month solution sphere student syzygy Theory third order tions true anomaly true longitude Tycho Brahé V₁ variation že²
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