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
... such a quantity 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 .
... such a quantity 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 m'.E.GE SE3 m'.M.GM SM3 in direction GM , m'.E.SG m'.M.SG and + GS . SE3 SM3 But SESG + GE + 2.SG . GE cosa , SM2 = SG2 + GM " -2.SG . GM cos w . 1 Hence SE SG3 1 3.GE ᏚᏳ COS @ 1 ...
... applied to G parallel to themselves are equi- valent to m'.E.GE SE3 m'.M.GM SM3 in direction GM , m'.E.SG m'.M.SG and + GS . SE3 SM3 But SESG + GE + 2.SG . GE cosa , SM2 = SG2 + GM " -2.SG . GM cos w . 1 Hence SE SG3 1 3.GE ᏚᏳ COS @ 1 ...
Σελίδα 23
... orbit . A similar method applied to observations of the diameter of the sun will determine the eccentricity of its orbit . Again , the accelerating force in GS - = m'SG 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 . Again , the accelerating force in GS - = m'SG 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 m ' upon M = SM2 in MS , equivalent to MG m ' SMS in MG , m ' ᏚᎷ 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 m ' upon M = SM2 in MS , equivalent to MG m ' SMS in MG , m ' ᏚᎷ 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
accelerating forces Algebra angle angular velocity annual equation apogee approximation apse line argument astronomers attraction Author has endeavoured body calculated CAMBRIDGE CLASS BOOKS centre chapter cloth coefficient Collection of Examples connexion considered correction cos2 Crown 8vo determine differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic elliptic inequality epicycle equal evection expression fixed plane h2u³ higher order Hipparchus inclination ISAAC TODHUNTER John's College late Fellow Latin latitude Lunar M.A. Fellow mean motion mean place mean value method moon moon's mean longitude moon's motion moon's orbit nearly node numerous Examples observations obtained octants order of approximation particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month solution sphere student syzygy Theory third order tions true anomaly true longitude Tycho Brahé V₁ variation že²
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