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 pages |
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Page 10
... the apse line is called the true anomaly . If n is the angular velocity of a radius vector which moving uniformly would accomplish its revolution in the same time as the true one , both passing through the 10 LUNAR THEORY .
... the apse line is called the true anomaly . If n is the angular velocity of a radius vector which moving uniformly would accomplish its revolution in the same time as the true one , both passing through the 10 LUNAR THEORY .
Page 23
... revolution , the moon moves pretty ac- curately in a plane inclined to the plane of the ecliptic at an angle whose tangent is about , and therefore of the 1st order . † ( 5 ) Its orbit in this plane is very nearly an ellipse having the ...
... revolution , the moon moves pretty ac- curately in a plane inclined to the plane of the ecliptic at an angle whose tangent is about , and therefore of the 1st order . † ( 5 ) Its orbit in this plane is very nearly an ellipse having the ...
Page 38
... revolutions of the moon , it is found that her apse and the plane of her orbit are in constant motion . The above form of the value of u is suggested by our previous knowledge of this motion of the apse , which , as we shall see Art ...
... revolutions of the moon , it is found that her apse and the plane of her orbit are in constant motion . The above form of the value of u is suggested by our previous knowledge of this motion of the apse , which , as we shall see Art ...
Page 54
... révolutions qu'on vou- ' drait , et la priverait de la simplicité et de l'universalité si précieuses en ' mathématiques , il faut commencer par en chercher la cause . Or , on dé- ' couvre facilement que ces termes ne viennent que de ce ...
... révolutions qu'on vou- ' drait , et la priverait de la simplicité et de l'universalité si précieuses en ' mathématiques , il faut commencer par en chercher la cause . Or , on dé- ' couvre facilement que ces termes ne viennent que de ce ...
Page 62
... revolution being which is , therefore , the p expression for a mean sidereal month , or about 27 days . * The value of p is , according to Art . ( 50 ) , given by 1 1 - = Ρ ha ( 1 + 3 k2 + m2 + že2 ) , and as m is due to the disturbing ...
... revolution being which is , therefore , the p expression for a mean sidereal month , or about 27 days . * The value of p is , according to Art . ( 50 ) , given by 1 1 - = Ρ ha ( 1 + 3 k2 + m2 + že2 ) , and as m is due to the disturbing ...
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Common terms and phrases
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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