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 3
... moving under the action of any number of forces some of which are very small , and let A be the position of the particle at any instant . Let two of these small forces m ,, m , be omitted , and suppose the path of the particle under the ...
... moving under the action of any number of forces some of which are very small , and let A be the position of the particle at any instant . Let two of these small forces m ,, m , be omitted , and suppose the path of the particle under the ...
Side 10
... the apse line is called the true anomaly . If n is the angular velocity of a radius vector which moving uniformly would accomplish its revolution in the same time as the true one , both passing through the 10 LUNAR THEORY .
... the apse line is called the true anomaly . If n is the angular velocity of a radius vector which moving uniformly would accomplish its revolution in the same time as the true one , both passing through the 10 LUNAR THEORY .
Side 11
... moving body Mu the uniformly re- volving radius at same time , the direction of motion being repre- sented by the arrow . Let MD be the position of Mu when t = 0 , then D M YMD = ε and is called the epoch , DMμ = nt , ΥΜΑ = α ...
... moving body Mu the uniformly re- volving radius at same time , the direction of motion being repre- sented by the arrow . Let MD be the position of Mu when t = 0 , then D M YMD = ε and is called the epoch , DMμ = nt , ΥΜΑ = α ...
Side 14
... moving forces which act on E and M. The whole force on G is therefore in the plane SEM ; join SG . Let 2 SGM = w , and let m ' be the sun's absolute force . Moving force on E = m ' . E SE2 in ES , m ' . M moving force on M = in MS . SM ...
... moving forces which act on E and M. The whole force on G is therefore in the plane SEM ; join SG . Let 2 SGM = w , and let m ' be the sun's absolute force . Moving force on E = m ' . E SE2 in ES , m ' . M moving force on M = in MS . SM ...
Side 74
... moving from syzygy to quadrature and behind it from quadrature to syzygy . Principia , book III . , props . 33 and 35 . The cycle of these changes will be completed in the period of half a revolution of the sun with respect to the node ...
... moving from syzygy to quadrature and behind it from quadrature to syzygy . Principia , book III . , props . 33 and 35 . The cycle of these changes will be completed in the period of half a revolution of the sun with respect to the node ...
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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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