An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of Newton |
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Page vi
... node and of the inclination of the orbit . Laplace , Damoiseau , Plana , and also Herschel and Airy in their more elementary works , have found it more con- venient to express the variations of the latitude directly , by an equation of ...
... node and of the inclination of the orbit . Laplace , Damoiseau , Plana , and also Herschel and Airy in their more elementary works , have found it more con- venient to express the variations of the latitude directly , by an equation of ...
Page xi
... Node cal- culated by Hipparchus • • 126 Tycho Brahe's discovery of the change of inclination and of the want of uniformity in the motion of the Node 127 His construction to represent these changes 113 115 116 ib . 117 . LUNAR THEORY ...
... Node cal- culated by Hipparchus • • 126 Tycho Brahe's discovery of the change of inclination and of the want of uniformity in the motion of the Node 127 His construction to represent these changes 113 115 116 ib . 117 . LUNAR THEORY ...
Page 34
... node . 33. Lastly , to find the connexion between t and 0 , the equation ( a ) becomes , making T = 0 , dt 1 = de hu2 = 1 1 ha { 1 + e cos ( 0 - u ) } 2 Now this is the very same equation that we had connecting t and in the problem of ...
... node . 33. Lastly , to find the connexion between t and 0 , the equation ( a ) becomes , making T = 0 , dt 1 = de hu2 = 1 1 ha { 1 + e cos ( 0 - u ) } 2 Now this is the very same equation that we had connecting t and in the problem of ...
Page 64
... node ; but he has nowhere given a state- ment of his method : and Clairaut , to whom we are indebted for the solution , was on the point of publishing a new hy- pothesis of the laws of attraction , in order to account for it , when it ...
... node ; but he has nowhere given a state- ment of his method : and Clairaut , to whom we are indebted for the solution , was on the point of publishing a new hy- pothesis of the laws of attraction , in order to account for it , when it ...
Page 71
... node is connected with the value of LATITUDE OF THE MOON . 77. The expression found for the tangent of the latitude , * Art ( 49 ) , is - - s = k sin ( g0 − y ) + 3mk sin { ( 2 − 2m − g ) 0 − 2B + y } . If we reject all small terms ...
... node is connected with the value of LATITUDE OF THE MOON . 77. The expression found for the tangent of the latitude , * Art ( 49 ) , is - - s = k sin ( g0 − y ) + 3mk sin { ( 2 − 2m − g ) 0 − 2B + y } . If we reject all small terms ...
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Common terms and phrases
3m²e accelerating forces Algebra angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies BROOKE FOSS WESTCOTT calculated Cambridge centre cloth coefficient considered correct cos2 Crown 8vo determined differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic ELEMENTARY TREATISE elliptic inequality epicycle equal evection expression Fcap fixed plane fourth order h²u³ higher order Hipparchus hu³ integration John's College Lunar Theory MACMILLAN AND CO'S Mathematical mean anomaly mean longitude mean motion mean value method moon moon's mean moon's motion moon's orbit nearly neglected Newton node numerous observations obtained order of approximation parallax particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month sin2 solution sphere student substituted syzygy third order true anomaly true longitude Tycho variation že²
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