Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page xii
... position at any given instant . By this problem the motions of translation of all the celestial bodies are determined . It is one of extreme difficulty , and would be of infinitely greater difficulty , if the disturbing action were not ...
... position at any given instant . By this problem the motions of translation of all the celestial bodies are determined . It is one of extreme difficulty , and would be of infinitely greater difficulty , if the disturbing action were not ...
Page xiii
... positions . In consequence of these , the troubled planet is sometimes drawn away from the sun , some- times brought nearer to him ; at one time it is drawn above the plane of its orbit , at another time below it , according to the position ...
... positions . In consequence of these , the troubled planet is sometimes drawn away from the sun , some- times brought nearer to him ; at one time it is drawn above the plane of its orbit , at another time below it , according to the position ...
Page xvi
... position , whence the oscillations of the system may be estimated through unlimited time . It is situate nearly half way between the orbits of Jupiter and Saturn , and is inclined to the ecliptic at an angle of about 1 ° 35 ′ 31 ...
... position , whence the oscillations of the system may be estimated through unlimited time . It is situate nearly half way between the orbits of Jupiter and Saturn , and is inclined to the ecliptic at an angle of about 1 ° 35 ′ 31 ...
Page xix
... position , in consequence of the motion of the earth in its orbit ; we therefore refer Jupiter to a place in which he is not . His true position is in the diagonal of the parallelo- gram , whose sides are in the ratio of the velocity of ...
... position , in consequence of the motion of the earth in its orbit ; we therefore refer Jupiter to a place in which he is not . His true position is in the diagonal of the parallelo- gram , whose sides are in the ratio of the velocity of ...
Page xxii
... positions : on account however of the slow and incessant diminution in the eccentricity of the terrestrial orbit , the re- volution of our planet is performed at different distances from the sun every year . The position of the moon ...
... positions : on account however of the slow and incessant diminution in the eccentricity of the terrestrial orbit , the re- volution of our planet is performed at different distances from the sun every year . The position of the moon ...
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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