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 66
... syzygy or quadrature at the same time as the moon . In intermediate positions , the nature of the correction is more complex , but it will always vanish when the sun is at the middle point between the moon and the apse , or when distant ...
... syzygy or quadrature at the same time as the moon . In intermediate positions , the nature of the correction is more complex , but it will always vanish when the sun is at the middle point between the moon and the apse , or when distant ...
Σελίδα 67
... syzygy , and diminishing it by the same quantity when the apse - line is in quadrature ; the general expression for the increment being me cos 2 ( a ' — © ) . And another effect of this term is , to diminish F 2 EVECTION . 67.
... syzygy , and diminishing it by the same quantity when the apse - line is in quadrature ; the general expression for the increment being me cos 2 ( a ' — © ) . And another effect of this term is , to diminish F 2 EVECTION . 67.
Σελίδα 68
... syzygy to quad- rature , and before it from quadrature to syzygy . * The cycle of these changes will evidently be completed in the period of half a revolution of the sun with respect to the apse , or in about of a year . 71. The period ...
... syzygy to quad- rature , and before it from quadrature to syzygy . * The cycle of these changes will evidently be completed in the period of half a revolution of the sun with respect to the apse , or in about of a year . 71. The period ...
Σελίδα 69
... syzygy to quadrature , the moon's true place is before the mean , and behind it from quad- rature to syzygy ; the maximum difference being m2 in the octants . The angular velocity of the moon , so far as this term is concerned , is do ...
... syzygy to quadrature , the moon's true place is before the mean , and behind it from quad- rature to syzygy ; the maximum difference being m2 in the octants . The angular velocity of the moon , so far as this term is concerned , is do ...
Σελίδα 74
... syzygy to quadrature and behind it from quadrature to syzygy . Principia , book III . , props . 33 and 35 . The cycle of these changes will be completed in the period of half a revolution of the sun with respect to the node , that is ...
... syzygy to quadrature and behind it from quadrature to syzygy . Principia , book III . , props . 33 and 35 . The cycle of these changes will be completed in the period of half a revolution of the sun with respect to the node , that is ...
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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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