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 10
... 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 focus , the eccentricity being e , the semi - latus rectum h2 μ and the angle made by the apse ...
... 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 focus , the eccentricity being e , the semi - latus rectum h2 μ and the angle made by the apse ...
Σελίδα 11
... constant depending on the instant when the body is at the apse , its value being also equal to the angle be- tween the prime radius and the uniformly revolving one when t = 0 . Thus , if MT be the fixed line or prime radius , A the apse ...
... constant depending on the instant when the body is at the apse , its value being also equal to the angle be- tween the prime radius and the uniformly revolving one when t = 0 . Thus , if MT be the fixed line or prime radius , A the apse ...
Σελίδα 30
... constant to be determined by putting this value of u in the differential equation , whence G G ' 1 - p2 9 from which we learn that if p differs very little from 1 , G ' will be at least one order lower than G , and will come within our ...
... constant to be determined by putting this value of u in the differential equation , whence G G ' 1 - p2 9 from which we learn that if p differs very little from 1 , G ' will be at least one order lower than G , and will come within our ...
Σελίδα 33
... constants introduced by integration . 31. These results are in perfect agreement with what rough observations had already ... constant angle with the ecliptic ; or , the moon moves in a plane . 32. What the equations can not teach us ...
... constants introduced by integration . 31. These results are in perfect agreement with what rough observations had already ... constant angle with the ecliptic ; or , the moon moves in a plane . 32. What the equations can not teach us ...
Σελίδα 34
... constant & , introduced in the process of integration , can be got rid of by a proper assumption : this assumption is , that the time t is reckoned from the instant when the mean value of 0 is zero . * * When a function of a variable ...
... constant & , introduced in the process of integration , can be got rid of by a proper assumption : this assumption is , that the time t is reckoned from the instant when the mean value of 0 is zero . * * When a function of a variable ...
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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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