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 v
... examine its application to a more severe explanation of her disturbances ; and his Eleventh Section is the first attempt at a theoretical investigation of the Lunar inequalities . The results he obtained were found to agree very nearly ...
... examine its application to a more severe explanation of her disturbances ; and his Eleventh Section is the first attempt at a theoretical investigation of the Lunar inequalities . The results he obtained were found to agree very nearly ...
Σελίδα 5
... examine the mutual action of such bodies . Now , it happens that with this law of force , the attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same state as if they were particles ...
... examine the mutual action of such bodies . Now , it happens that with this law of force , the attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same state as if they were particles ...
Σελίδα 27
... examine the values of P , T , and S , it will be found that the most important of the terms containing m ' , which are clearly the disturbing forces since they depend upon the sun , are involved in the form m'r 139 while those ...
... examine the values of P , T , and S , it will be found that the most important of the terms containing m ' , which are clearly the disturbing forces since they depend upon the sun , are involved in the form m'r 139 while those ...
Σελίδα 29
... order . Such terms must therefore not be rejected , and we shall proceed to examine by what means they may be recognised . 27. Suppose then that after an approximation to a certain GENERAL PROCESS OF INTEGRATION . 29.
... order . Such terms must therefore not be rejected , and we shall proceed to examine by what means they may be recognised . 27. Suppose then that after an approximation to a certain GENERAL PROCESS OF INTEGRATION . 29.
Σελίδα 31
... examine how they appear in the differential equation that gives u , that we may recognise and retain them at the outset . Now , by referring to the last article , we see that when p is very small G and G ' will be of the same order ...
... examine how they appear in the differential equation that gives u , that we may recognise and retain them at the outset . Now , by referring to the last article , we see that when p is very small G and G ' will be of the same order ...
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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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