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 vii
... orders , among which will be found the values of pletely obtained to the third order . c and 9 com- The last chapter is a brief historical sketch of the Lunar Problem up to the time of Newton , containing an account of the discoveries ...
... orders , among which will be found the values of pletely obtained to the third order . c and 9 com- The last chapter is a brief historical sketch of the Lunar Problem up to the time of Newton , containing an account of the discoveries ...
Σελίδα x
... order 51 True Longitude in terms of the Mean obtained by Reversion of Series ... Third Method . Independent determination of each Coefficient 57 CHAPTER VI ... third order 95 The value of g to the third order 97 Parallactic Inequality 99 ...
... order 51 True Longitude in terms of the Mean obtained by Reversion of Series ... Third Method . Independent determination of each Coefficient 57 CHAPTER VI ... third order 95 The value of g to the third order 97 Parallactic Inequality 99 ...
Σελίδα 22
... order of the approximation is esteemed by the highest power of the small fractions retained . It is usual to consider consequently as a small fraction of the first order , of 2 % = 7t0 is 8000 is second ...... third and so on , other ...
... order of the approximation is esteemed by the highest power of the small fractions retained . It is usual to consider consequently as a small fraction of the first order , of 2 % = 7t0 is 8000 is second ...... third and so on , other ...
Σελίδα 29
... third approximation , and so on , to any order ; except that if we wish to carry it on beyond the third , the approximate values of the forces , given in Art . ( 23 ) , would no longer be sufficiently exact . 26. There is , however , a ...
... third approximation , and so on , to any order ; except that if we wish to carry it on beyond the third , the approximate values of the forces , given in Art . ( 23 ) , would no longer be sufficiently exact . 26. There is , however , a ...
Σελίδα 43
... three terms are retained , though of the third order , according to Art . ( 29 ) . The first of the three will not rise in importance in the value of u , but it is retained . for its subsequent use in finding t , when it will become of ...
... three terms are retained , though of the third order , according to Art . ( 29 ) . The first of the three will not rise in importance in the value of u , but it is retained . for its subsequent use in finding t , when it will become of ...
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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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