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" ... 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 22
1854
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New Cambridge Guide; Or, A Description of the University, Town, and County ...

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...
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Calendar

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...
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Problems in the Different Branches of Philosophy: Adapted to the Course of ...

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...
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Dynamics, Or an Elementary Treatise on Motion: With a Great Varity of ...

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 ;...
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

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....
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The Scientific Papers

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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