Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page viii
... centre of gravity , a circumstance which greatly facilitates the investigation of their motions . The attraction of the earth on bodies at its surface in that latitude , the square of whose sine is , is the same as if it were a sphere ...
... centre of gravity , a circumstance which greatly facilitates the investigation of their motions . The attraction of the earth on bodies at its surface in that latitude , the square of whose sine is , is the same as if it were a sphere ...
Page ix
... gravity , they would arrive at his surface at the same time . The satellites ... centre of an attractive force extending indefinitely in space , whence ... centre , and attract- ing directly as the mass , and inversely as the square of ...
... gravity , they would arrive at his surface at the same time . The satellites ... centre of an attractive force extending indefinitely in space , whence ... centre , and attract- ing directly as the mass , and inversely as the square of ...
Page x
... centre of gravity , all its parts will move with an equal velocity in a straight line ; but if the impulse does not pass through the centre of gravity , its particles having unequal velocities , will give it a rotatory motion at the ...
... centre of gravity , all its parts will move with an equal velocity in a straight line ; but if the impulse does not pass through the centre of gravity , its particles having unequal velocities , will give it a rotatory motion at the ...
Page xvi
... centre of gravity of the sun , about which the whole system oscillates within narrow limits , and which is determined by this property ; that if every body in the system be projected on it , and if the mass of each be multiplied by the ...
... centre of gravity of the sun , about which the whole system oscillates within narrow limits , and which is determined by this property ; that if every body in the system be projected on it , and if the mass of each be multiplied by the ...
Page xvii
... centre of gravity ; the action of the sun however disturbs in some degree the motion of the satellites about their primary . The changes that take place in the planetary system are exhibited on a small scale by Jupiter and his ...
... centre of gravity ; the action of the sun however disturbs in some degree the motion of the satellites about their primary . The changes that take place in the planetary system are exhibited on a small scale by Jupiter and his ...
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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