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 9
... applying to it accelerating forces equal and op- posite to those which act upon it . Therefore give the same velocity and apply the same accelerating forces to all the bodies of the system , and the absolute motions about the chosen ...
... applying to it accelerating forces equal and op- posite to those which act upon it . Therefore give the same velocity and apply the same accelerating forces to all the bodies of the system , and the absolute motions about the chosen ...
Σελίδα 14
... as of the 2nd order of small quantities , and its square therefore of the 4th order . Our investigations are carried to the 2nd order only . These applied to G parallel to themselves are equi- valent 14 LUNAR THEORY .
... as of the 2nd order of small quantities , and its square therefore of the 4th order . Our investigations are carried to the 2nd order only . These applied to G parallel to themselves are equi- valent 14 LUNAR THEORY .
Σελίδα 15
... applied to G parallel to themselves are equi- valent to and But m'.E.GE SE3 m'.M.GM SM3 in direction GM , m'.E.SG + SE3 m'.M.SG SM3 GS . SE SG2 + GE + 2.SG . GE cosa , = SMSG + GM " -2.SG . GM cos w . Y3 SE ᏚᏳ SG4 1 1 3.GE Hence = COS ...
... applied to G parallel to themselves are equi- valent to and But m'.E.GE SE3 m'.M.GM SM3 in direction GM , m'.E.SG + SE3 m'.M.SG SM3 GS . SE SG2 + GE + 2.SG . GE cosa , = SMSG + GM " -2.SG . GM cos w . Y3 SE ᏚᏳ SG4 1 1 3.GE Hence = COS ...
Σελίδα 23
... orbit . A similar method applied to observations of the diameter of the sun will determine the eccentricity of its orbit . To calculate the values of P , T , S. ORDERS OF SMALL QUANTITIES . 23 Values of the Forces P, T,
... orbit . A similar method applied to observations of the diameter of the sun will determine the eccentricity of its orbit . To calculate the values of P , T , S. ORDERS OF SMALL QUANTITIES . 23 Values of the Forces P, T,
Σελίδα 24
... applied to the whole system so that E may be a fixed point . Attraction of S upon M = m ' SM in MS , equivalent to MG m ' SM3 in MG , m ' SM parallel to GS ; E attraction of E upon M = ME2 in ME 24 LUNAR THEORY . Order of the Sun's ...
... applied to the whole system so that E may be a fixed point . Attraction of S upon M = m ' SM in MS , equivalent to MG m ' SM3 in MG , m ' SM parallel to GS ; E attraction of E upon M = ME2 in ME 24 LUNAR THEORY . Order of the Sun's ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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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