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 10
... vector and the apse line is called the true anomaly . If n is the angular velocity of a radius vector which moving uniformly would accomplish its revolution in the same time as the true one , both passing through the 10 LUNAR THEORY .
... vector and the apse line is called the true anomaly . If n is the angular velocity of a radius vector which moving uniformly would accomplish its revolution in the same time as the true one , both passing through the 10 LUNAR THEORY .
Side 23
... angular motion . Lines proportional to the distances being then drawn from a point in the proper directions , the extremities mark out the form of the moon's orbit . A similar method applied to observations of the diameter of the sun ...
... angular motion . Lines proportional to the distances being then drawn from a point in the proper directions , the extremities mark out the form of the moon's orbit . A similar method applied to observations of the diameter of the sun ...
Side 34
... angular velocity , we should , following the same process as in the article referred to , arrive at the result 0 = pt ++ 2e sin ( pt + -a ) + e2 sin 2 ( pt + s - a ) + ...... , which is correct only to the first order , since we have re ...
... angular velocity , we should , following the same process as in the article referred to , arrive at the result 0 = pt ++ 2e sin ( pt + -a ) + e2 sin 2 ( pt + s - a ) + ...... , which is correct only to the first order , since we have re ...
Side 38
... angular velocity of the orbit be to that of the body as GF to G , the additional centripetal force is G2 - F12 Ge hu3 , the original force being uu3 . Therefore d3u d02 μ G2- F12 + u = + u , h2 G2 d3u F2 + u = do { F 1+ e cos Ꮎ F where ...
... angular velocity of the orbit be to that of the body as GF to G , the additional centripetal force is G2 - F12 Ge hu3 , the original force being uu3 . Therefore d3u d02 μ G2- F12 + u = + u , h2 G2 d3u F2 + u = do { F 1+ e cos Ꮎ F where ...
Side 40
... angular velocities ; .. p ' = mp , p't + B , pt ...... mean longitudes at time t , ẞ being the sun's longitude when t = 0 , 0 ' , Ꮎ . 5 therefore and α ...... true longitudes at time t , longitude of perigees when t = 0 ; 0 ' — = sun's ...
... angular velocities ; .. p ' = mp , p't + B , pt ...... mean longitudes at time t , ẞ being the sun's longitude when t = 0 , 0 ' , Ꮎ . 5 therefore and α ...... true longitudes at time t , longitude of perigees when t = 0 ; 0 ' — = sun's ...
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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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