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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Resultat 1-5 av 12
Side 16
... increasing , S perpendicular to the fixed plane and towards it . d'x dt2 d'y dt = - = - -- Τ P - T , r py + T dt d'y = whence x dt2 d'y d2x -y d2x + y dt dt2 d'z also S. dť x = x Tr , - Pr , DIFFERENTIAL EQUATIONS . And introducing ...
... increasing , S perpendicular to the fixed plane and towards it . d'x dt2 d'y dt = - = - -- Τ P - T , r py + T dt d'y = whence x dt2 d'y d2x -y d2x + y dt dt2 d'z also S. dť x = x Tr , - Pr , DIFFERENTIAL EQUATIONS . And introducing ...
Side 27
... increased in value ; for they increase once in forming de , and once again , as above , in finding t . T h2u3 Since such terms occur in the development of and also u 39 de of on account of their previously being found in u , we must dt ...
... increased in value ; for they increase once in forming de , and once again , as above , in finding t . T h2u3 Since such terms occur in the development of and also u 39 de of on account of their previously being found in u , we must dt ...
Side 30
... increases continuously , the mean value of the function is the part which is independent of the periodical terms . † We shall also employ this method of correcting the integral in our next approximation to the value of 0 in terms of t ...
... increases continuously , the mean value of the function is the part which is independent of the periodical terms . † We shall also employ this method of correcting the integral in our next approximation to the value of 0 in terms of t ...
Side 60
... apse a - 8 ; there- fore the evection , taken in conjunction with elliptic inequality , has the effect of rendering the eccentricity of the moon's orbit VARIATION . 61 variable , increasing it by me when 60 LUNAR THEORY .
... apse a - 8 ; there- fore the evection , taken in conjunction with elliptic inequality , has the effect of rendering the eccentricity of the moon's orbit VARIATION . 61 variable , increasing it by me when 60 LUNAR THEORY .
Side 61
... increasing it by me when the apse - line is in syzygy , and diminishing it by the same quantity when the apse - line is in quadrature ; the general expression for the increment being 15 me cos 2 ( a ' — O ) . = And another effect of ...
... increasing it by me when the apse - line is in syzygy , and diminishing it by the same quantity when the apse - line is in quadrature ; the general expression for the increment being 15 me cos 2 ( a ' — O ) . = And another effect of ...
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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.
Side 14 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Side 5 - SIMPSON.— An Epitome of the History of the Christian Church during the first Three Centuries and during the Time of the Reformation, adapted for the use of Students in the Universities and in Schools.
Side 12 - WILSON (WP)— A TREATISE ON DYNAMICS. By WP WILSON, MA, Fellow of St. John's College, Cambridge, and Professor of Mathematics in Queen's College, Belfast. 8vo.
Side 6 - The Child's Grammar. Being the substance of the above, with Examples for Practice. Adapted for Junior Classes. A New Edition. 18mo. limp cloth, Is.
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.
Side 12 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Side 8 - TODHUNTER.— A Treatise on the Differential Calculus ; and the Elements of the Integral Calculus. With numerous Examples. By I. TODHUNTER, MA, Fellow and Tutor of St. John's College, Cambridge. Second Edition. Crown 8vo. cloth, 10».