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
... 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 . 41 Connexion between 0 and 0 43 Solution.
... 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 . 41 Connexion between 0 and 0 43 Solution.
Σελίδα x
... retained in her orbit by gravity 92 The Moon's orbit is everywhere concave to the Sun 93 Effects of Central and Tangential Forces separately considered 94 The value of c to the third order 95 The value of g to the third order 97 ...
... retained in her orbit by gravity 92 The Moon's orbit is everywhere concave to the Sun 93 Effects of Central and Tangential Forces separately considered 94 The value of c to the third order 95 The value of g to the third order 97 ...
Σελίδα 22
... 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 fractions being considered as of the 1st , 2nd , & c . orders , according as they ...
... 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 fractions being considered as of the 1st , 2nd , & c . orders , according as they ...
Σελίδα 29
... retained in the second members : but it may happen that a term of an order beyond that to which we are working would , if retained , be so altered by the integration as to come within the proposed order . Such terms must therefore not ...
... retained in the second members : but it may happen that a term of an order beyond that to which we are working would , if retained , be so altered by the integration as to come within the proposed order . Such terms must therefore not ...
Σελίδα 30
... retain . The solution of this equation will be of the form u = ...... + G ' cos ( p0 + H ) + ....... G ' being a ... retained in the differential equation . The equation of the moon's latitude being of the same form as that of the ...
... retain . The solution of this equation will be of the form u = ...... + G ' cos ( p0 + H ) + ....... G ' being a ... retained in the differential equation . The equation of the moon's latitude being of the same form as that of the ...
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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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