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 viii
... Reduction 99 • ib . 125 Inclination of the Moon's orbit and motion of the Node calculated by Hipparchus 100 126 Tycho Brahé's discovery of the change of inclination and of the want of uniformity in the motion of the Node 101 127 His ...
... Reduction 99 • ib . 125 Inclination of the Moon's orbit and motion of the Node calculated by Hipparchus 100 126 Tycho Brahé's discovery of the change of inclination and of the want of uniformity in the motion of the Node 101 127 His ...
Side 38
... reduction , dropped those terms which , according to Art . ( 29 ) , could not produce important terms in the resulting value either of u or of t . The last term , though of the fourth order , is retained because 2 - 2m - 2c is small . T ...
... reduction , dropped those terms which , according to Art . ( 29 ) , could not produce important terms in the resulting value either of u or of t . The last term , though of the fourth order , is retained because 2 - 2m - 2c is small . T ...
Side 63
... Reduction . k2 76. Before considering the effect of the term - 4 sin 2 ( gpt - y ) , which , as we shall see Art . ( 82 ) , is very nearly equal to the difference between the longitude in the orbit and the longitude in the ecliptic , it ...
... Reduction . k2 76. Before considering the effect of the term - 4 sin 2 ( gpt - y ) , which , as we shall see Art . ( 82 ) , is very nearly equal to the difference between the longitude in the orbit and the longitude in the ecliptic , it ...
Side 66
... have the latitude itself it will be given by the formula latitudes s3 + fs5 — & c . , - - which , to the degree of approximation adopted , will clearly be the same as s . REDUCTION IN LONGITUDE . Reduction . 67 82. We may 66 LUNAR THEORY .
... have the latitude itself it will be given by the formula latitudes s3 + fs5 — & c . , - - which , to the degree of approximation adopted , will clearly be the same as s . REDUCTION IN LONGITUDE . Reduction . 67 82. We may 66 LUNAR THEORY .
Side 67
... REDUCTION IN LONGITUDE . Reduction . 67 82. We may now consider the term which we had neglected ( Art . 76 ) in the expression for the longitude , namely , - 4k2 sin 2 ( gpt — y ) . - Let N ( fig . 10 ) be the position of the node when ...
... REDUCTION IN LONGITUDE . Reduction . 67 82. We may now consider the term which we had neglected ( Art . 76 ) in the expression for the longitude , namely , - 4k2 sin 2 ( gpt — y ) . - Let N ( fig . 10 ) be the position of the node when ...
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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
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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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Side 2 - Archer).— Works by the Rev. WILLIAM ARCHER BUTLER, MA, late Professor of Moral Philosophy in the University of Dublin : SERMONS, DOCTRINAL AND PRACTICAL. Edited, with a Memoir of the Author's Life, by THOMAS WOODWARD, Dean of Down.
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