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 |
Inni boken
Resultat 1-5 av 36
Side iv
... second order of small quantities , and this , though far from giving accurate values , is amply sufficient for the elucidation of the method . The differences in the analytical solutions arise from the various ways in which the position ...
... second order of small quantities , and this , though far from giving accurate values , is amply sufficient for the elucidation of the method . The differences in the analytical solutions arise from the various ways in which the position ...
Side vii
... second order 51 True Longitude in terms of the Mean obtained by Reversion of Series 52 u and s in terms of t 54 Parallax of the Moon • 16 19 20 23 24 26 27 30 35 36 45 46 47 CHAPTER V. NUMERICAL VALUES OF THE COEFFICIENTS . 60 First ...
... second order 51 True Longitude in terms of the Mean obtained by Reversion of Series 52 u and s in terms of t 54 Parallax of the Moon • 16 19 20 23 24 26 27 30 35 36 45 46 47 CHAPTER V. NUMERICAL VALUES OF THE COEFFICIENTS . 60 First ...
Side 3
... order compared with PP , or of the second order compared with AP , and it may therefore be neglected . Therefore PQ is parallel and equal to PP . Hence the projection of the whole disturbance PQ on any straight line , being equal to the ...
... order compared with PP , or of the second order compared with AP , and it may therefore be neglected . Therefore PQ is parallel and equal to PP . Hence the projection of the whole disturbance PQ on any straight line , being equal to the ...
Side 11
... second approximation . - Substitute the second approximation in that small term of ( 1 ) which is multiplied by e ... order to fix the position of the moon with respect to the centre of the earth , which , by means of the process ...
... second approximation . - Substitute the second approximation in that small term of ( 1 ) which is multiplied by e ... order to fix the position of the moon with respect to the centre of the earth , which , by means of the process ...
Side 19
... order . * ( 2 ) The sun's distance from the earth is about 400 times as great as the moon's distance . Hence the ratio of the mean distances order . † = bo is of the second ( 3 ) The eccentricity e ' of the elliptic orbit which the sun ...
... order . * ( 2 ) The sun's distance from the earth is about 400 times as great as the moon's distance . Hence the ratio of the mean distances order . † = bo is of the second ( 3 ) The eccentricity e ' of the elliptic orbit which the sun ...
Innhold
22 | |
23 | |
24 | |
27 | |
30 | |
35 | |
36 | |
43 | |
51 | |
52 | |
54 | |
55 | |
58 | |
61 | |
62 | |
64 | |
66 | |
79 | |
81 | |
82 | |
83 | |
84 | |
86 | |
88 | |
90 | |
91 | |
92 | |
93 | |
94 | |
96 | |
97 | |
99 | |
100 | |
102 | |
Andre utgaver - Vis alle
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».