 For it is clear, that if the motion be accelerated through a certain space, and then retarded through as much, the motion at the end of the time will be the same as if no change had taken place. But, as the orbits of the planets are ellipses, this symmetry...  On the Connexion of the Physical Sciences - Pàgina 18per Mary Somerville - 1849 - 524 pàginesVisualització completa - Sobre aquest llibre
 | Robert Woodhouse - 1818 - 572 pàgines
...of the apogee depends, for nearly half its value, on the tangential force, and for the remainder on that part of the disturbing force which acts in the direction of its radius ; a conclusion widely different from that (see p. 147.) which the result from the first... | |
 | William Whewell - 1832 - 286 pàgines
...velocity as 1 — c : 1 . The motion of the apse of the orbit of a satellite, so far as it depends on the part of the disturbing force which acts in the direction of the radius PT, may be calculated by finding the mean value of this disturbing force (which we shall do... | |
 | Sir John Frederick William Herschel - 1833 - 444 pàgines
...be explained by Newton from his theory of gravitation. (554.) We come now to consider the effects of that part of the disturbing force which acts in the direction of the radius vector, and tends to alter the law of gravity, and therefore to derange, in a more direct and... | |
 | sir John Frederick W. Herschel (1st bart.) - 1833 - 500 pàgines
...be explained by Newton from his theory of gravitation. (554.) We come now to consider the effects of that part of the disturbing force which acts in the direction of the radius vector, and tends to alter the law of gravity, and therefore to derange, in a more direct and... | |
 | Mary Somerville - 1835 - 532 pàgines
...motion of the planet in longitude. The tangential force sometimes accelerates the planet's mo. tion, sometimes retards it, and occasionally has no effect...elliptical motion varies inversely as the square of the distance, and that a force following any other law, would cause the body to move in a curve of a very... | |
 | Mary Somerville - 1840 - 858 pàgines
...motion, sometimes retards it, and occasionally has no effect at all. Were the orbits of both plaiiets circular, a complete compensation would take place...elliptical motion varies inversely as the square of the distance, and that a force following any other law, would cause the body to move in a curve of a very... | |
 | Mary Somerville - 1846 - 496 pàgines
...Hence the tangential force. SECT. III. MOTION OF THE APSIDES. 15 not being directed to the center, occasions an unequable description of areas, or, what...which acts in the direction of the line joining the centers of the sun and disturbed planet, has no effect on the areas, but is the cause of periodical... | |
 | Augustus Young - 1846 - 304 pàgines
...Murdock has given a method of computing the mean motion of the moon's apogee, by first considering only that part of the disturbing force which acts in the direction of the radius ; and then instead of supposing the earth to be at rest, by conceiving the earth and moon to... | |
 | Mary Somerville - 1846 - 496 pàgines
...velocities in ellipses, the perturbations or changes in the motions of P are very numerous. Lastly, that part of the disturbing force which acts in the direction of a line pm, fig. 13, at right angles to the plane of the orbit Npn, may be called the perpendicular... | |
 | American Philosophical Society - 1847 - 422 pàgines
...left the earth, had at any instant reached. The whole shadow would, therefore, drag or fall behind the direction of the line joining the centres of the sun and earth. The angular amount of this dragging of the shadow would, however, be equal and opposite to the... | |
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