... prove the incorrectness of Professor Challis's Theorem I. ; since in an orbit described by a body acted on by a force tending to a fixed centre, and varying, as Professor Challis supposes, as some function of the distance, the expression for the radius-vector... Philosophical Magazine - Pagina 221854Volledige weergave - Over dit boek
| 1804 - 476 pagina’s
...orbit of given excentricity 5 find the velocity communicated to it by the impulse. 22. The given circle described by a body, acted on by a force tending to a point in the periphery, is caused to revolve about the center of force in such a manner that the angular... | |
| University of Cambridge - 1804 - 252 pagina’s
...given excentricity ; find the velocity communicated to it by the impulse. • 22. The given circle described by a body, acted on by a force tending to a point in the periphery, is caused to revolve about. the center of force in such a manner that the angular... | |
| Miles Bland - 1830 - 394 pagina’s
...an ellipse when the centre of force is in the focus, and when in the centre. 7. If the given circle described by a body, acted on by a force tending to a point in the periphery, be caused to revolve about the centre of force in such a manner that the angular... | |
| Samuel Earnshaw - 1832 - 228 pagina’s
...alteration in C. 201. As a further application and extension of these formulae, suppose that a particle acted on by a force tending to a fixed centre, and varying as =p, moves in a medium of small density, the resistance of which varies as the (density) . (vel.)2 ;... | |
| 1854 - 580 pagina’s
...value of r, which depend on the arguments Znt + e— Zn't + e and 2nt + e— 2n'<+V— cnt + e— m, and which constitute the well-known inequalities called...theorems. All this reasoning is based on his equation (dr\* k* 2M ^S,r_0 /n \di) +^-y-2^+C=°' ' ' ' (C) the truth of which, he says, cannot be contested.... | |
| 576 pagina’s
...called the " variation " and "evection," prove the incorrectness of Professor Challis's Theorem L; since in an orbit described by a body acted on by...the expression for the radius-vector in terms of the tune cannot possibly contain any terms dependent on the Sun's longitude. I now come to consider the... | |
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