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 sider |
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Side 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 ...
Side 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 ...
Side 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 ...
Side 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 G w E M 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 G w E M Let S , E , M be the centres of the sun , earth , and moon , G the centre of gravity of the ...
Side 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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An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
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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