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 2
... Given the perturbations caused by a body , determine , on the assumption of the truth of Newton's law , the orbit and position of the disturbing body . Evidence so strong as this forces us to admit the correct- ness of the assumption ...
... Given the perturbations caused by a body , determine , on the assumption of the truth of Newton's law , the orbit and position of the disturbing body . Evidence so strong as this forces us to admit the correct- ness of the assumption ...
Side 3
... given time . Let AP , be the path which would have been described in the same time if m , also had acted ; AP , differing very slightly from AP , and PP , being the disturbance . m2 1 2 Similarly , if m , instead of m , had acted ...
... given time . Let AP , be the path which would have been described in the same time if m , also had acted ; AP , differing very slightly from AP , and PP , being the disturbance . m2 1 2 Similarly , if m , instead of m , had acted ...
Side 9
... given time . This is the equation to a conic section referred to its focus , the eccentricity being e , the semi - latus rectum made by the apse line with the prime radius a . h2 μ and the angle In the relative motion of the moon , or ...
... given time . This is the equation to a conic section referred to its focus , the eccentricity being e , the semi - latus rectum made by the apse line with the prime radius a . h2 μ and the angle In the relative motion of the moon , or ...
Side 18
... given time . 21. But the 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 ...
... given time . 21. But the 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 ...
Side 25
... given in Art . ( 23 ) , would no longer be sufficiently exact . 26. There is , however , a peculiarity in these equations , when solved by this process , which we must notice . We have said that to obtain the values to any order , all ...
... given in Art . ( 23 ) , would no longer be sufficiently exact . 26. There is , however , a peculiarity in these equations , when solved by this process , which we must notice . We have said that to obtain the values to any order , all ...
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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».