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
... Attraction 3 Principle of Superposition of Small Motions 6 Attractions of Spherical Bodies CHAPTER II . MOTION RELATIVE TO THE EARTH . 10 Problem of Two Bodies 14 Problem of Three Bodies 15 Path of Centre of Gravity of Earth and Moon ...
... Attraction 3 Principle of Superposition of Small Motions 6 Attractions of Spherical Bodies CHAPTER II . MOTION RELATIVE TO THE EARTH . 10 Problem of Two Bodies 14 Problem of Three Bodies 15 Path of Centre of Gravity of Earth and Moon ...
Σελίδα 1
... attractions , and on the peculiar circumstances which enable us to simplify the present investigation . 1. The law of universal gravitation , as laid down by Newton , is that " Every particle in the universe attracts every other ...
... attractions , and on the peculiar circumstances which enable us to simplify the present investigation . 1. The law of universal gravitation , as laid down by Newton , is that " Every particle in the universe attracts every other ...
Σελίδα 5
... attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . I. prop . 75. ) Attractions of Spherical Bodies . 6. Let P be a particle ...
... attraction of one sphere on another can be correctly obtained , and leaves the question in exactly the same state as if they were particles . ( Princip . lib . I. prop . 75. ) Attractions of Spherical Bodies . 6. Let P be a particle ...
Σελίδα 6
... attraction of the whole ring will clearly be the sum of the resolved parts along PO of the attractions of its constituent elements ; therefore , attraction of ring - 2πρη.δι.δι x2 sec2 0 cos = 2πp sine dx.80 ; Ꮖ rcos - 1 名 therefore ...
... attraction of the whole ring will clearly be the sum of the resolved parts along PO of the attractions of its constituent elements ; therefore , attraction of ring - 2πρη.δι.δι x2 sec2 0 cos = 2πp sine dx.80 ; Ꮖ rcos - 1 名 therefore ...
Σελίδα 7
... attraction of the whole sphere is precisely the same as if the whole mass were condensed into its centre . COR . 1. The attraction of a shell radius = c and thickness Sc will be obtained from the preceding expression by diffe ...
... attraction of the whole sphere is precisely the same as if the whole mass were condensed into its centre . COR . 1. The attraction of a shell radius = c and thickness Sc will be obtained from the preceding expression by diffe ...
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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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