An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of Newton |
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Page v
... presents the greatest difficulties , on account of the number of inequali- ties to which it is subject ; but the frequent and important applications of the results render the Lunar Problem one of the highest interest , and we find that ...
... presents the greatest difficulties , on account of the number of inequali- ties to which it is subject ; but the frequent and important applications of the results render the Lunar Problem one of the highest interest , and we find that ...
Page vi
... present work , the approximation is carried to the second order of small quantities , and this , though far from giving accurate values , is amply sufficient for the elucidation of the method . The differences in the analytical ...
... present work , the approximation is carried to the second order of small quantities , and this , though far from giving accurate values , is amply sufficient for the elucidation of the method . The differences in the analytical ...
Page vii
... present work , which is the same as that of Airy , Herschel , & c . , was made on account of its simplicity : moreover , it is the method which has obtained in this university , and it is hoped that it may prove of service to the ...
... present work , which is the same as that of Airy , Herschel , & c . , was made on account of its simplicity : moreover , it is the method which has obtained in this university , and it is hoped that it may prove of service to the ...
Page viii
... present edition , besides the change of form and the incorporation of the figures with the text , which it is hoped will render the work more commodious , very few alterations have been thought necessary ; and , except in one or two ...
... present edition , besides the change of form and the incorporation of the figures with the text , which it is hoped will render the work more commodious , very few alterations have been thought necessary ; and , except in one or two ...
Page 1
... present investigation . 1. The law of universal gravitation , as laid down by Newton , is that " Every particle in the universe attracts every other particle , with a force varying directly as the mass of the attracting particle and ...
... present investigation . 1. The law of universal gravitation , as laid down by Newton , is that " Every particle in the universe attracts every other particle , with a force varying directly as the mass of the attracting particle and ...
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Common terms and phrases
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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