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 v
... bodies whose motions have formed the subject of the investigations of astronomers , the Moon has always been regarded as that which presents the greatest difficulties , on account of the number of inequali- ties to which it is subject ...
... bodies whose motions have formed the subject of the investigations of astronomers , the Moon has always been regarded as that which presents the greatest difficulties , on account of the number of inequali- ties to which it is subject ...
Σελίδα ix
... 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 , Ecliptic 17 Errors in the Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS ...
... 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 , Ecliptic 17 Errors in the Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS ...
Σελίδα 1
... bodies , calculated on the assumption of its truth , agree more and more closely with the observed motions as our calcu- lations are more strictly performed , we have every reason to consider the law as an established truth , and to ...
... bodies , calculated on the assumption of its truth , agree more and more closely with the observed motions as our calcu- lations are more strictly performed , we have every reason to consider the law as an established truth , and to ...
Σελίδα 2
... bodies of our system , * we are indebted to the perturbations it produced in the cal- culated places of the planet ... body was disturbing the path of the planet . This last supposition , in the powerful hands of Messrs . Adams and Le ...
... bodies of our system , * we are indebted to the perturbations it produced in the cal- culated places of the planet ... body was disturbing the path of the planet . This last supposition , in the powerful hands of Messrs . Adams and Le ...
Σελίδα 3
... body when both m , and m , act . Join PQ . Now , since the path AP , very nearly coincides with AP , the disturbances PQ and PP , produced in them by the action of the same small force m , will be very nearly parallel ; and will differ ...
... body when both m , and m , act . Join PQ . Now , since the path AP , very nearly coincides with AP , the disturbances PQ and PP , produced in them by the action of the same small force m , will be very nearly parallel ; and will differ ...
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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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