 ... multiples of the mean angular distance of the moon from the sun, of the mean anomalies of the moon and sun, and of the moon's mean distance from the node ; and the moon's longitude is expressed by means of a series of sines of the same angles, the...  Monthly Notices of the Royal Astronomical Society - Page 158by Royal Astronomical Society - 1866Full view - About this book
 | John William Lubbock - Lunar theory - 1834 - 456 pages
...carried further, and terms depending upon higher powers of m may be successively obtained, m being the ratio of the sun's mean motion to that of the moon. In future I shall distinguish the arguments by the numerical in* dices which are contained in the first... | |
 | British Association for the Advancement of Science - Science - 1837 - 564 pages
...according to powers of the eccentricities, inclinations, &c., and also of the quantity in, which denotes the ratio of the sun's mean motion to that of the moon. The methods employed by M. Plana are otherwise similar to those of M. Damoiseau, but M. Plana's results... | |
 | British Association for the Advancement of Science - Science - 1837 - 566 pages
...according to powers of the eccentricities, inclinations, &c., and also of the quantity m, which denotes the ratio of the sun's mean motion to that of the moon. The methods employed by M. Plana are otherwise similar to those of M. Damoiseau, but M. Plana's results... | |
 | Spencer Joshua A. Compton (2nd marq. of Northampton.) - 1840 - 40 pages
...of long period amongst the terms which involve lower powers of a certain quantity m, which denotes the ratio of the sun's mean motion to that of the moon, than the fourth; a demonstration of this most important proposition has been given by Sir John Lubbock... | |
 | Royal Society (Great Britain) - Electronic journals - 1843 - 538 pages
...of long period amongst the terms which involve lower powers of a certain quantity m, which denotes the ratio of the sun's mean motion to that of the moon, than the fourth ; a demonstration of this most important proposition has been given by Sir John Lubbock... | |
 | Royal Society (Great Britain) - Electronic journals - 1843 - 552 pages
...of long period am<m^-t the terms which involve lower powers of a certain quantity m, which denotes the ratio of the sun's mean motion to that of the moon, than the fourth ; a demonstration of this most important proposition has been Riven by Sir John Lubbock... | |
 | Royal Astronomical Society - Astronomy - 1853 - 584 pages
...of a series of sines of the same angles, the coefficients of the periodic terms being functions of the ratio of the sun's mean motion to that of the moon, of the eccentricities of the two orbits and of their mutual inclination. Now, if the eccentricity of... | |
 | Royal Society (Great Britain) - Electronic journals - 1854 - 450 pages
...of a series of sines of the same angles, the coefficients of the periodic terms being functions of the ratio of the sun's mean motion to that of the moon, of the eccentricities of the two orbits and of their mutual inclination. Now, if the eccentricity of... | |
 | Royal Society (Great Britain) - Electronic journals - 1854 - 436 pages
...of a series of sines of the same angles, the coefficients of the periodic terms being functions of the ratio of the sun's mean motion to that of the moon, of the eccentricities of the two orbits and of their mutual inclination. Now, if the eccentricity of... | |
 | University of Cambridge - 1864 - 694 pages
...denotes twice the Moon's areal velocity, n the Moon's mean angular motion in a unit of time, and m the ratio of the Sun's mean motion to that of the Moon, find the ratio of the axes of the Moon's oval orbit, supposing the orbit of the Sun to be circular... | |
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