Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page x
... given to his centre of gravity , that he moves in space accompanied by all those bodies which compose the solar system , a circum- stance that would in no way interfere with their relative mo- tions ; for , in consequence of our ...
... given to his centre of gravity , that he moves in space accompanied by all those bodies which compose the solar system , a circum- stance that would in no way interfere with their relative mo- tions ; for , in consequence of our ...
Page xi
... given at the time when it was launched into space : should the force in the tangent cease , the planet would fall to ... given of three bodies projected from three given points , with velocities given both in quantity and direction ; and ...
... given at the time when it was launched into space : should the force in the tangent cease , the planet would fall to ... given of three bodies projected from three given points , with velocities given both in quantity and direction ; and ...
Page xii
... 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 very small ...
... 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 very small ...
Page xx
... given by the eclipses of the first satellite . The same result obtained from sources so different , leaves not a doubt of its truth . Many such beautiful coincidences , derived from apparently the most unpromising and dissimilar ...
... given by the eclipses of the first satellite . The same result obtained from sources so different , leaves not a doubt of its truth . Many such beautiful coincidences , derived from apparently the most unpromising and dissimilar ...
Page xxiii
... given by observation , shows that the compression of the terrestrial spheroid , or the ratio of the difference between the polar and equatorial diameter to the diameter of the equator is 30.05 . It is proved analytically , that if a ...
... given by observation , shows that the compression of the terrestrial spheroid , or the ratio of the difference between the polar and equatorial diameter to the diameter of the equator is 30.05 . It is proved analytically , that if a ...
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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