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
... approximation is common to all . In the present work , the approximation is carried to the second order of small quantities , and this , though far from giving accurate values , is amply sufficient for the elucidation of the method ...
... approximation is common to all . In the present work , the approximation is carried to the second order of small quantities , and this , though far from giving accurate values , is amply sufficient for the elucidation of the method ...
Σελίδα vii
... approximation to a high order , this method offers the advantage of not requiring any reversion of series . Poisson proposed the method used in the planetary theory , that is , to determine the variation in the elements of the moon's ...
... approximation to a high order , this method offers the advantage of not requiring any reversion of series . Poisson proposed the method used in the planetary theory , that is , to determine the variation in the elements of the moon's ...
Σελίδα 5
... approximation to which it is intended to carry the solution in the following pages , and our problem is re- duced to the consideration of the three bodies , the sun , earth , and moon , acting on one another according to the law of ...
... approximation to which it is intended to carry the solution in the following pages , and our problem is re- duced to the consideration of the three bodies , the sun , earth , and moon , acting on one another according to the law of ...
Σελίδα 8
... very small , is appre- ciable , and if a nearer approximation were required , it would be necessary to have regard to this circumstance . ( See Appendix , Art . 100. ) ( 9 ) CHAPTER II . MOTION RELATIVE TO THE 8 LUNAR THEORY .
... very small , is appre- ciable , and if a nearer approximation were required , it would be necessary to have regard to this circumstance . ( See Appendix , Art . 100. ) ( 9 ) CHAPTER II . MOTION RELATIVE TO THE 8 LUNAR THEORY .
Σελίδα 12
... approximation . Substitute the second approximation in that small term of ( 1 ) which is multiplied by e , and the first approximation in that multiplied by e ; the result will be correct to that term , and gives - 0 — a = nt + ε − a + ...
... approximation . Substitute the second approximation in that small term of ( 1 ) which is multiplied by e , and the first approximation in that multiplied by e ; the result will be correct to that term , and gives - 0 — a = nt + ε − a + ...
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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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