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 vi
... referred , or again , in the same system , by choosing different quantities for independent variables . D'Alembert and Clairaut chose for coordinates the pro- jection of the radius vector on the plane of the ecliptic and the longitude ...
... referred , or again , in the same system , by choosing different quantities for independent variables . D'Alembert and Clairaut chose for coordinates the pro- jection of the radius vector on the plane of the ecliptic and the longitude ...
Σελίδα 10
... referred to its h " focus , the eccentricity being e , the semi - latus rectum and the angle made by the apse line with the prime radius a . μ 9 In the relative motion of the moon , or in that of the sun about the earth , the orbit ...
... referred to its h " focus , the eccentricity being e , the semi - latus rectum and the angle made by the apse line with the prime radius a . μ 9 In the relative motion of the moon , or in that of the sun about the earth , the orbit ...
Σελίδα 13
... referred . The plane which passes through the earth's centre and the direction of the sun's motion at any instant is called the true ecliptic ; and , as a first rough result of calculation , ob- tained on supposition of the sun and ...
... referred . The plane which passes through the earth's centre and the direction of the sun's motion at any instant is called the true ecliptic ; and , as a first rough result of calculation , ob- tained on supposition of the sun and ...
Σελίδα 34
... 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- jected some terms of the second order by neglecting the disturbing force ...
... 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- jected some terms of the second order by neglecting the disturbing force ...
Σελίδα 68
... and ordinate of an ellipse referred to its centre : for if E - ex and d = y , then x2 y2 ( me ) + ( + 2m ) + = 1 . + The acurate value is 31.8119 days . in the expression for the moon's longitude . 0 = 68 LUNAR THEORY .
... and ordinate of an ellipse referred to its centre : for if E - ex and d = y , then x2 y2 ( me ) + ( + 2m ) + = 1 . + The acurate value is 31.8119 days . in the expression for the moon's longitude . 0 = 68 LUNAR THEORY .
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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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