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 sider |
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Side v
... principle ; but the geometrical methods which he had adopted seem inade- quate to so complicated a theory , and recourse has been had to analysis for a complete determination of the dis- turbances , and for a knowledge of the true orbit ...
... principle ; but the geometrical methods which he had adopted seem inade- quate to so complicated a theory , and recourse has been had to analysis for a complete determination of the dis- turbances , and for a knowledge of the true orbit ...
Side vi
... principle of successive approximation is common to all . In the 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 ...
... principle of successive approximation is common to all . In the 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 ...
Side ix
... 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 , Ecliptic 17 ...
... 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 , Ecliptic 17 ...
Side 2
... 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 : and there is a principle , called the 2 LUNAR THEORY .
... 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 : and there is a principle , called the 2 LUNAR THEORY .
Side 3
... principle , called the " principle of the superposition of small motions , " which shows that in such a case the disturbing forces may be considered separately , and the algebraic sum of the disturbances so obtained will be the same as ...
... principle , called the " principle of the superposition of small motions , " which shows that in such a case the disturbing forces may be considered separately , and the algebraic sum of the disturbances so obtained will be the same as ...
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An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
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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