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
... nearly with those de- termined by observation , and afforded a remarkable con- firmation of the truth of his great principle ; but the geometrical methods which he had adopted seem inade- quate to so complicated a theory , and recourse ...
... nearly with those de- termined by observation , and afforded a remarkable con- firmation of the truth of his great principle ; but the geometrical methods which he had adopted seem inade- quate to so complicated a theory , and recourse ...
Σελίδα vi
... nearly the same , and the principle of successive 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 ...
... nearly the same , and the principle of successive 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 ...
Σελίδα 3
... nearly coincides with AP , the disturbances PQ and PP , produced in them by the action of the same small force m , will be very nearly parallel ; and will differ in magnitude by a quantity which can be only a small fraction of either ...
... nearly coincides with AP , the disturbances PQ and PP , produced in them by the action of the same small force m , will be very nearly parallel ; and will differ in magnitude by a quantity which can be only a small fraction of either ...
Σελίδα 14
... nearly in one plane and elliptic ; the square of the ratio of the distances of the moon and sun from the earth being neglected . * S- M E G W Let S , E , M be the centres of the sun , earth , and moon , G the centre of gravity of the ...
... nearly in one plane and elliptic ; the square of the ratio of the distances of the moon and sun from the earth being neglected . * S- M E G W Let S , E , M be the centres of the sun , earth , and moon , G the centre of gravity of the ...
Σελίδα 17
... nearly . 32400 And as the moon's latitude never exceeds 5 ° 9 ' , the sun's latitude will always be less than 1 ′′ . Again , with respect to the sun's longitude : let Er be the direction of the first point of Aries , —that is , a fixed ...
... nearly . 32400 And as the moon's latitude never exceeds 5 ° 9 ' , the sun's latitude will always be less than 1 ′′ . Again , with respect to the sun's longitude : let Er be the direction of the first point of Aries , —that is , a fixed ...
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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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