Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page xvi
... mean motions of Jupiter and Saturn have been affected by great inequalities of very long periods , forming what appeared an anomaly in the theory of the planets . It was long known by observation , that five times the mean motion of ...
... mean motions of Jupiter and Saturn have been affected by great inequalities of very long periods , forming what appeared an anomaly in the theory of the planets . It was long known by observation , that five times the mean motion of ...
Page xxi
... mean motion , the nodes , and the perigee , are subject to very remarkable ... anomaly , and it was at one time attributed to the resistance of an ethereal ... mean motion , a variation in the latter from such a cause being inseparably ...
... mean motion , the nodes , and the perigee , are subject to very remarkable ... anomaly , and it was at one time attributed to the resistance of an ethereal ... mean motion , a variation in the latter from such a cause being inseparably ...
Page xxii
... mean motion of the moon might be connected with the secular variation in the ... mean action of the sun on the moon varies from one century to another , and ... anomaly . square of the time . It is planets thus reflected by the sensible ...
... mean motion of the moon might be connected with the secular variation in the ... mean action of the sun on the moon varies from one century to another , and ... anomaly . square of the time . It is planets thus reflected by the sensible ...
Page 194
... mean distance from S as radius , the motion of the planet in this circle would be uniform . This is called the mean ... anomaly , PSm the angular distance be- tween the true place and the perihelion is the true anomaly ; and mSB the ...
... mean distance from S as radius , the motion of the planet in this circle would be uniform . This is called the mean ... anomaly , PSm the angular distance be- tween the true place and the perihelion is the true anomaly ; and mSB the ...
Page 195
... mean anomaly , fig . 75 , v = PSm = true anomaly , Where nt u = PCM eccentric anomaly , r Sm radius vector , α = CP mean distance , and tance . e = CS CP the ratio of the eccentricity to the mean dis- 385. It appears from these ...
... mean anomaly , fig . 75 , v = PSm = true anomaly , Where nt u = PCM eccentric anomaly , r Sm radius vector , α = CP mean distance , and tance . e = CS CP the ratio of the eccentricity to the mean dis- 385. It appears from these ...
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Common terms and phrases
A₁ action angle ascending node attraction axes axis B₁ becomes c'mv centre of gravity centrifugal force co-ordinates coefficients comets computed conic sections consequently cosines curve density depending determined differential direction disturbing forces dR dR dt dt earth eccentricity ecliptic elements epoch equal equilibrium equinoxes expression fixed plane fluid functions give hence inclination indefinitely small integral Jupiter latitude mass mean anomaly mean distance mean longitude mean motion moon moon's move nearly observation omitted orbit of Jupiter oscillations parallax particle perigee perihelion periodic inequalities perturbations planets preceding equation preceding values radius vector ratio regard rotation satellites Saturn secular inequalities secular variations sidereal sine spheroid square substituted surface system of bodies terrestrial theory tion true longitude Uranus velocity whence zero