 | Robert Woodhouse - Celestial mechanics - 1818 - 572 pages
...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 - Celestial mechanics - 1832 - 286 pages
...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 W. Herschel (1st bart.) - 1833 - 500 pages
...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 William Herschel - Astronomy - 1833 - 444 pages
...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 - Astronomy - 1835 - 532 pages
...inequality of this kind in the motions of Jupiter and Saturn, has a period of no less than 918 years. The radial force, or that part of the disturbing force...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 - Physical sciences - 1846 - 496 pages
...inequality of this kind in the motions of Jupiter and Saturn, has a period of no less than 918 years. The radial force, or that part of the disturbing force...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 - Circle-squaring - 1846 - 304 pages
...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 - Science - 1846 - 496 pages
...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 - Electronic journals - 1847 - 422 pages
...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... | |
 | Mary Somerville - Physical sciences - 1849 - 568 pages
...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... | |
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The radial force, or that part of the disturbing force which acts in the direction of the line joining the centres of the sun and disturbed planet, has no effect on the areas, but is the cause of periodical changes of small extent in the distance of the... 
