Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page viii
... conic section , if it be attracted by a force directed towards a fixed point , and having an intensity inversely as ... sections : it consequently follows that the sun attracts all the planets and comets inversely as the square of their ...
... conic section , if it be attracted by a force directed towards a fixed point , and having an intensity inversely as ... sections : it consequently follows that the sun attracts all the planets and comets inversely as the square of their ...
Page xii
... conic sections in which the celestial bodies move , depends on the velocity with which they were first pro- pelled in space ; had that velocity been such as to make the planets move in orbits of unstable equilibrium , their mutual at ...
... conic sections in which the celestial bodies move , depends on the velocity with which they were first pro- pelled in space ; had that velocity been such as to make the planets move in orbits of unstable equilibrium , their mutual at ...
Page lxi
... conic sections of the same focal distance sensibly coincide through a small arc on each side of the extremity of their axis , it is difficult to ascertain in which of these curves the comets move , from observations made , as they ...
... conic sections of the same focal distance sensibly coincide through a small arc on each side of the extremity of their axis , it is difficult to ascertain in which of these curves the comets move , from observations made , as they ...
Page 149
... conic sections , if acted on by a force directed to the focus , and in- versely as the square of the distance : he determined the conditions requisite to make the trajectory a circle , an ellipse , a parabola , or hyperbola . Hence he ...
... conic sections , if acted on by a force directed to the focus , and in- versely as the square of the distance : he determined the conditions requisite to make the trajectory a circle , an ellipse , a parabola , or hyperbola . Hence he ...
Page 152
... conic sections , having the sun in one of their foci . iii . That the squares of the periodic times of the planets are pro- portional to the cubes of their mean distances from the sun . 310. It has been shown , that if the law of the ...
... conic sections , having the sun in one of their foci . iii . That the squares of the periodic times of the planets are pro- portional to the cubes of their mean distances from the sun . 310. It has been shown , that if the law of the ...
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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