Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page viii
... observation that the planets describe ellipses round the sun , and later observations show that comets also move in conic sections : it consequently follows that the sun attracts all the planets and comets inversely as the square of ...
... observation that the planets describe ellipses round the sun , and later observations show that comets also move in conic sections : it consequently follows that the sun attracts all the planets and comets inversely as the square of ...
Page xiv
... observation , since the existence of the human race has occu- pied but a point in duration , while these vicissitudes embrace myriads of ages . The proof is simple and convincing . All the variations of the solar system , as well ...
... observation , since the existence of the human race has occu- pied but a point in duration , while these vicissitudes embrace myriads of ages . The proof is simple and convincing . All the variations of the solar system , as well ...
Page xvi
... observations separated by long periods . This difficulty is obviated by La Place , who has shown that whatever ... observation , that five times the mean motion of Saturn is nearly equal to twice that of Jupiter ; a relation which ...
... observations separated by long periods . This difficulty is obviated by La Place , who has shown that whatever ... observation , that five times the mean motion of Saturn is nearly equal to twice that of Jupiter ; a relation which ...
Page xvii
... observation , which shows that in the course of twenty centuries , Jupiter's mean motion has been accelerated by 3 ° 23 ′ , and Saturn's retarded by 5 ° .13 ' . It might be imagined that the reciprocal action of such pla- nets as have ...
... observation , which shows that in the course of twenty centuries , Jupiter's mean motion has been accelerated by 3 ° 23 ′ , and Saturn's retarded by 5 ° .13 ' . It might be imagined that the reciprocal action of such pla- nets as have ...
Page xxiii
... observation , that both these elements are subject to a secular inequality , arising from the variation in the eccen- tricity of the earth's orbit , which connects them with the acce- leration ; so that both are retarded when the mean ...
... observation , that both these elements are subject to a secular inequality , arising from the variation in the eccen- tricity of the earth's orbit , which connects them with the acce- leration ; so that both are retarded when the mean ...
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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