Items related to The capture theory of cosmical evolution, founded on...
The capture theory of cosmical evolution, founded on dynamical principles and illustrated by phenomena observed in the spiral nebulae, the planetary ... clusters and the star-clouds of the Milky way - Softcover
Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1910 Excerpt: ...undergone a similar transformation. The accompanying figure illustrates the mode of transformation of these orbits. The law of attraction in the case of a diffused spiral nebula is such that the path of any particle is not an elliptic orbit, but a series of constantly shifting and non-re-entrant curves which grow smaller and rounder with each revolution. At length most of the nebulosity is absorbed into the Sun and planets, and the orbits of the planets which survive near the center all have small eccentricities. This is the true secret of the mode of formation of the planetary system. § 180. Expressions for the Forces Acting Upon a Particle in a Nebula of Any Form or Extent, and Between Two Nebulae of Any Figure Whatever. In the midst of a spiral nebula it is to be observed that the particle does not obey merely the force of gravitation exerted from the fixed center or nucleus of the mass, but also the forces exerted by every other particle in the nebula. The potential of the forces acting on the particle whose coordinates are x, y, z in a nebula of density r and of unlimited extent is /+oo /" +00 x-"+oo / /. (392)-oo-00-00 And the forces along the coordinates axes are /+ 00 /"+00 /" + 00 / / a (x'-x)dx'dy'dz' J J i'-y + w-+ v-'-oo--oo-oo /+00 / + CC /+00 f / / a(y'-y)dX'dy-dz-oo-00-00 /+00 /""+00 +00 / / o(z'-z)dx'dy'dz' / / (x'-xf + (V'-yy + ('-nfr-go-GO-00 When the boundaries are finite they may be specified by corresponding changes in the limits of these integrals, but in the case of actual nebulae the extent is 386 EXPRESSION FOR THE MUTUAL POTENTIAL ENERGY OF TWO NEBULAE. always enormous, and infinite limits are therefore appropriate unless the contrary is indicated. If we have two nebulae interpenetrating each othe...
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