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 vii
... moon's position , make the time the independent variable ; and when it is desired to carry the approximation to a high order , this method offers the advantage of not requiring any reversion of series . Poisson proposed the method used ...
... moon's position , make the time the independent variable ; and when it is desired to carry the approximation to a high order , this method offers the advantage of not requiring any reversion of series . Poisson proposed the method used ...
Page x
... Moon's Longitude terms in the Moon's Latitude 77 Discussion of the 83 Discussion of the terms in the Moon's Radius Vector 89 Periodic time of the Moon 61 71 76 • 78 CHAPTER VII . APPENDIX . 91 The Moon is retained in her orbit by ...
... Moon's Longitude terms in the Moon's Latitude 77 Discussion of the 83 Discussion of the terms in the Moon's Radius Vector 89 Periodic time of the Moon 61 71 76 • 78 CHAPTER VII . APPENDIX . 91 The Moon is retained in her orbit by ...
Page xi
... Moon's orbit and motion of the Node cal- culated by Hipparchus • • 126 Tycho Brahe's discovery of the change of inclination and of the want of uniformity in the motion of the Node 127 His construction to represent these changes 113 115 ...
... Moon's orbit and motion of the Node cal- culated by Hipparchus • • 126 Tycho Brahe's discovery of the change of inclination and of the want of uniformity in the motion of the Node 127 His construction to represent these changes 113 115 ...
Page 1
... moon's motion , it will be desirable to say a few words on the law of 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 ...
... moon's motion , it will be desirable to say a few words on the law of 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 ...
Page 2
... moon , it is clear that its effects on the moon's motion relatively to the earth or the disturbing force will not be the same as the absolute force on either body . This will be fully investigated in Arts . ( 9 ) and ( 23 ) . cases ...
... moon , it is clear that its effects on the moon's motion relatively to the earth or the disturbing force will not be the same as the absolute force on either body . This will be fully investigated in Arts . ( 9 ) and ( 23 ) . cases ...
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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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