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 vii
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 27 Terms of a higher order which must be retained 30 Solution to the first order 35 Introduction of e and g 41 Connexion between 0 and 0 43 Solution to the second ...
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . 25 General Process described 27 Terms of a higher order which must be retained 30 Solution to the first order 35 Introduction of e and g 41 Connexion between 0 and 0 43 Solution to the second ...
Side 18
... integration has never yet been effected , except for particular values of P , T , and S ; and the method which we are in consequence forced to adopt , is that of successive ap- proximation , by which the values of u , 0 , and s are ...
... integration has never yet been effected , except for particular values of P , T , and S ; and the method which we are in consequence forced to adopt , is that of successive ap- proximation , by which the values of u , 0 , and s are ...
Side 23
... - periodic time of moon periodic time of sun therefore m ' E :: m2 : 1 , or the disturbing force of the sun is of the second order . CHAPTER IV . INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION Values of the Forces P, T,
... - periodic time of moon periodic time of sun therefore m ' E :: m2 : 1 , or the disturbing force of the sun is of the second order . CHAPTER IV . INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION Values of the Forces P, T,
Side 24
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION I. General process described . 25. The differential equations which we have obtained are , as already stated , incapable of solution in their general forms ; and even when P , T , & c ...
... INTEGRATION OF THE DIFFERENTIAL EQUATIONS . SECTION I. General process described . 25. The differential equations which we have obtained are , as already stated , incapable of solution in their general forms ; and even when P , T , & c ...
Side 25
... INTEGRATION . 25 knowledge , in the event of their not being approximations , will probably suggest such modifications of them as will render them so . * ] The integration of the equations ( a ) , ( B ) , ( v ) can be per- formed when ...
... INTEGRATION . 25 knowledge , in the event of their not being approximations , will probably suggest such modifications of them as will render them so . * ] The integration of the equations ( a ) , ( B ) , ( v ) can be per- formed 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
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.
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