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 3
... described in the same time if m , also had acted ; AP , differing very slightly from AP , and PP , being the disturbance . Similarly , if m2 instead of m1 had acted , suppose AP , to have represented the disturbed path ( AP , AP1 , AP ...
... described in the same time if m , also had acted ; AP , differing very slightly from AP , and PP , being the disturbance . Similarly , if m2 instead of m1 had acted , suppose AP , to have represented the disturbed path ( AP , AP1 , AP ...
Σελίδα 10
... described in a unit of time , u = { 1 + e cos ( 0 − a ) } , - e and a being constants to be determined by the circumstances of the motion at any given time . This is the equation to a conic section referred to its focus , the ...
... described in a unit of time , u = { 1 + e cos ( 0 − a ) } , - e and a being constants to be determined by the circumstances of the motion at any given time . This is the equation to a conic section referred to its focus , the ...
Σελίδα 13
... described in Art . ( 9 ) , is reduced to and kept at rest , we must have some determinate invariable plane passing through the earth's centre to which the motion may be referred . The plane which passes through the earth's centre and ...
... described in Art . ( 9 ) , is reduced to and kept at rest , we must have some determinate invariable plane passing through the earth's centre to which the motion may be referred . The plane which passes through the earth's centre and ...
Σελίδα 19
... described in Art . ( 9 ) , its centre may be taken as origin of coordinates , the fixed plane of reference as plane of xy and the line ET as axis of x . M M Let r , O be the coordinates of the projection M ' of the moon on the plane xy ...
... described in Art . ( 9 ) , its centre may be taken as origin of coordinates , the fixed plane of reference as plane of xy and the line ET as axis of x . M M Let r , O be the coordinates of the projection M ' of the moon on the plane xy ...
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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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