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 ix
... 26 INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 28 27 Terms of a higher order which must be retained 30 30 Solution to the first order 32 35 Introduction of c and g 35 Page . Art . 41 Connexion between 0 ' and.
... 26 INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 28 27 Terms of a higher order which must be retained 30 30 Solution to the first order 32 35 Introduction of c and g 35 Page . Art . 41 Connexion between 0 ' and.
Σελίδα 3
... described in the same time if m , also had acted ; AP , differing very slightly from AP , and PP , being the disturbance . Similarly , if m2 instead of m , had acted , suppose AP , to have represented the disturbed path ( AP , AP ,, AP ...
... described in the same time if m , also had acted ; AP , differing very slightly from AP , and PP , being the disturbance . Similarly , if m2 instead of m , had acted , suppose AP , to have represented the disturbed path ( AP , AP ,, AP ...
Σελίδα 10
... described in a unit of time , μ u = { 1 + e cos ( 0 − a ) } , - e and a being constants to be determined by the circumstances of the motion at any given time . This is the equation to a conic section referred to its h " focus , the ...
... described in a unit of time , μ u = { 1 + e cos ( 0 − a ) } , - e and a being constants to be determined by the circumstances of the motion at any given time . This is the equation to a conic section referred to its h " focus , the ...
Σελίδα 13
... described in Art . ( 9 ) , is reduced to and kept at rest , we must have some determinate invariable plane passing through the earth's centre to which the motion may be referred . The plane which passes through the earth's centre and ...
... described in Art . ( 9 ) , is reduced to and kept at rest , we must have some determinate invariable plane passing through the earth's centre to which the motion may be referred . The plane which passes through the earth's centre and ...
Σελίδα 19
... described in Art . ( 9 ) , its centre may be taken as origin of coordinates , the fixed plane of reference as plane of xy and the line ET as axis of x . M M ' Let r , be the coordinates of the projection M ' of the moon on the plane xy ...
... described in Art . ( 9 ) , its centre may be taken as origin of coordinates , the fixed plane of reference as plane of xy and the line ET as axis of x . M M ' Let r , be the coordinates of the projection M ' of the moon on the plane xy ...
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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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