An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1853 - 103 sider |
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Side 11
... account the disturbances produced by the moon and planets , and it becomes necessary to substitute some other plane of reference unaffected by these disturbances . Theory teaches us that such a plane exists , but Problem of Three Bodies.
... account the disturbances produced by the moon and planets , and it becomes necessary to substitute some other plane of reference unaffected by these disturbances . Theory teaches us that such a plane exists , but Problem of Three Bodies.
Side 12
... , such a quantity we shall consider as of the 2nd order of small quantities , and its square there- fore of the 4th order . Our investigations are carried to the 2nd order only . PLANE OF REFERENCE . Let 4SGM = ∞ , and 12 LUNAR THEORY .
... , such a quantity we shall consider as of the 2nd order of small quantities , and its square there- fore of the 4th order . Our investigations are carried to the 2nd order only . PLANE OF REFERENCE . Let 4SGM = ∞ , and 12 LUNAR THEORY .
Side 13
... REFERENCE . Let 4SGM = ∞ , and let m ' be the sun's absolute force . 13 Moving force on E : m'.E = SE in ES , m'.M = in MS . SM moving force on M These applied to G parallel to themselves are equivalent to m'.E.GE m'.M.GM and SE m'.E ...
... REFERENCE . Let 4SGM = ∞ , and let m ' be the sun's absolute force . 13 Moving force on E : m'.E = SE in ES , m'.M = in MS . SM moving force on M These applied to G parallel to themselves are equivalent to m'.E.GE m'.M.GM and SE m'.E ...
Side 14
... reference we require ( 14 ) and will become a fixed plane when we bring the earth's centre to rest , the ecliptic then making small monthly oscillations from one side to the other of our fixed plane . 17. The sun will have a latitude ...
... reference we require ( 14 ) and will become a fixed plane when we bring the earth's centre to rest , the ecliptic then making small monthly oscillations from one side to the other of our fixed plane . 17. The sun will have a latitude ...
Side 15
... reference from which the longitudes of the bodies are reckoned . YES ' ' the sun's longitude . The difference in the sun's longitude , as seen from E or from G , will be the angle ES'G ' . sin ES ' G ' = EG ' ES ' sin w = sin w 32400 ...
... reference from which the longitudes of the bodies are reckoned . YES ' ' the sun's longitude . The difference in the sun's longitude , as seen from E or from G , will be the angle ES'G ' . sin ES ' G ' = EG ' ES ' sin w = sin w 32400 ...
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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 - 1859 |
Vanlige uttrykk og setninger
2e sin cpt 3m²e angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies calculated Cambridge central disturbing force centre cloth coefficient College considered correction cos(c Crown 8vo determine differential equation discovery distance E-Ma E+Ma earth eccentric ecliptic Edition effect elliptic inequality epicycle equal Euclid's Elements evection expression fourth order h²u³ Hence higher order Hipparchus hu³ hypothesis inclination introduced latitude Lunar Theory mean angular mean motion mean place mean value moon moon moves moon's longitude moon's motion moon's orbit nearly neglected Newton node numerous observation obtained octants order of approximation parallax perigee periodical terms position Ptolemy Ptolemy's quadrature quantity radius vector revolution second order shew sidereal month sin(g sin2 solution Substituting suppose supposition syzygy third order true anomaly true longitude U₁ variation že² ᏧᎾ
Populære avsnitt
Side 9 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
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