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 ix
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 27 Terms of a higher order which must be retained 30 Solution to the first order 35 Introduction of c and g Page . 1 3 5 · 13 . 14 16 19 2222 24 26 28 30 32 35 Art ...
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 27 Terms of a higher order which must be retained 30 Solution to the first order 35 Introduction of c and g Page . 1 3 5 · 13 . 14 16 19 2222 24 26 28 30 32 35 Art ...
Σελίδα 22
... integration has never yet been effected , except for particular values of P , T , and S ; and the method which we are in consequence forced to adopt , is that of successive approximation , by which the values of u , 0 , and s are ...
... integration has never yet been effected , except for particular values of P , T , and S ; and the method which we are in consequence forced to adopt , is that of successive approximation , by which the values of u , 0 , and s are ...
Σελίδα 27
... sun 23:25 :: m2 : 1 , or the disturbing force of the sun is of the second order when compared with the direct action of the earth . CHAPTER IV . INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION ORDER OF DISTURBING FORCE . 27.
... sun 23:25 :: m2 : 1 , or the disturbing force of the sun is of the second order when compared with the direct action of the earth . CHAPTER IV . INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION ORDER OF DISTURBING FORCE . 27.
Σελίδα 28
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION I. General process described . 25. The differential equations which we have obtained are , as already stated , incapable of solution in their general forms ; and even when P , T , & c ...
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION I. General process described . 25. The differential equations which we have obtained are , as already stated , incapable of solution in their general forms ; and even when P , T , & c ...
Σελίδα 29
... integration of the equations ( a ) , ( B ) , ( y ) can be per- formed when the second members are circular functions of ; and as the first approximation will give us the values of u and s in that form , these values when admissible will ...
... integration of the equations ( a ) , ( B ) , ( y ) can be per- formed when the second members are circular functions of ; and as the first approximation will give us the values of u and s in that form , these values when admissible will ...
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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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