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 9
... constants to be determined by the circumstances of the motion at any given time . This is the equation to a conic ... constant depending on the instant when the body is at the apse , its value being also equal to the angle between the ...
... constants to be determined by the circumstances of the motion at any given time . This is the equation to a conic ... constant depending on the instant when the body is at the apse , its value being also equal to the angle between the ...
Side 26
... constant to be determined by putting this value of u in the differential equation , whence G ' = G 1 - p * ' 29 from which we learn that if p differs very little from 1 , G ' will be one order lower than G , and will come within our ...
... constant to be determined by putting this value of u in the differential equation , whence G ' = G 1 - p * ' 29 from which we learn that if p differs very little from 1 , G ' will be one order lower than G , and will come within our ...
Side 28
... constants introduced by integration . 31. These results are in perfect agreement with what rough observations had already taught us concerning the moon's motion Art . ( 22 ) ; for - u = a { 1 + e cos ( 0 − a ) } represents motion in an ...
... constants introduced by integration . 31. These results are in perfect agreement with what rough observations had already taught us concerning the moon's motion Art . ( 22 ) ; for - u = a { 1 + e cos ( 0 − a ) } represents motion in an ...
Side 29
... constant angle with the ecliptic ; or , the moon moves in a plane . 32. What the equations can not teach us , however , and for which we must have recourse to our observations , is the approx- imate magnitude of the quantities e and k ...
... constant angle with the ecliptic ; or , the moon moves in a plane . 32. What the equations can not teach us , however , and for which we must have recourse to our observations , is the approx- imate magnitude of the quantities e and k ...
Side 30
... constant e , introduced in the process of integration , can be got rid of by a proper assumption : this assumption is , that the time t is reckoned from the instant when the mean value of 0 is zero . * For , since the mean value of 0 ...
... constant e , introduced in the process of integration , can be got rid of by a proper assumption : this assumption is , that the time t is reckoned from the instant when the mean value of 0 is zero . * For , since the mean value of 0 ...
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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».