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 v
... explanation of her disturbances ; and his Eleventh Section is the first attempt at a theoretical investigation of the Lunar inequalities . The results he obtained were found to agree very nearly with those de- termined by observation ...
... explanation of her disturbances ; and his Eleventh Section is the first attempt at a theoretical investigation of the Lunar inequalities . The results he obtained were found to agree very nearly with those de- termined by observation ...
Σελίδα 51
... explained in Art . ( 34 ) . vanishes , for the reasons - 2 . 51. The preceding equations U , S2 , give the reci- procal of the radius vector , the latitude and the time in terms of the true longitude ; but the principal object of the ...
... explained in Art . ( 34 ) . vanishes , for the reasons - 2 . 51. The preceding equations U , S2 , give the reci- procal of the radius vector , the latitude and the time in terms of the true longitude ; but the principal object of the ...
Σελίδα 60
... explained how the numerical values of the coefficients in these equations may be determined from observation ; and we ... explain those inequalities or departures from uniform circular motion which ancient astronomers had observed , but ...
... explained how the numerical values of the coefficients in these equations may be determined from observation ; and we ... explain those inequalities or departures from uniform circular motion which ancient astronomers had observed , but ...
Σελίδα 62
... explaining the elliptic inequality and the evection , Arts . ( 66 ) and ( 70 ) ; but in the remaining inequalities each term of the expression will form a correction to be considered by itself . 65. Neglecting all the periodical terms ...
... explaining the elliptic inequality and the evection , Arts . ( 66 ) and ( 70 ) ; but in the remaining inequalities each term of the expression will form a correction to be considered by itself . 65. Neglecting all the periodical terms ...
Σελίδα 63
... the expression of Art . ( 13 ) is here omitted ; a proper assumption for the origin of t , as explained in Art . ( 34 ) , enabling us to avoid the ɛ . and the orbit will have taken the position indicated by MOTION OF THE APSE . 63.
... the expression of Art . ( 13 ) is here omitted ; a proper assumption for the origin of t , as explained in Art . ( 34 ) , enabling us to avoid the ɛ . and the orbit will have taken the position indicated by MOTION OF THE APSE . 63.
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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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