Stellar Evolution and Its Relations to Geological Time — John Shaqi
Stellar Evolution and Its Relations to Geological TimeCroll, James
Science
Stellar Evolution and Its Relations to Geological Time
Croll, James
Cosmogony; Geological time; Stars -- Evolution
This is precisely what I have been contending for during the past twenty
years, with the simple exception that I assume, according to his second
supposition, that the “two masses collided with velocities considerably
greater than the velocities due to mutual gravitation.” Sir William
admits, of course, my supposition to be quite a possible one, but
rejects it on the supposed ground of its improbability. His reasons for
this, stated in his own words, are as follows:
“This last supposition implies that, calling the two bodies A and B for
brevity, the motion of the centre of inertia of B relatively to A must,
when the distance between them was great, have been directed with great
exactness to pass through the centre of inertia of A; such great
exactness that the rotational momentum or moment of momentum after
collision was no more than to let the sun have his present slow rotation
when shrunk to his present dimensions. This exceedingly exact aiming of
the one body at the other, so to speak, is, on the dry theory of
probability, exceedingly improbable. On the other hand, there is
certainty that the two bodies A and B at rest in space if left to
themselves, undisturbed by other bodies and only influenced by their
mutual gravitation, shall collide with direct impact, and therefore with
no motion of their centre of inertia, and no rotational momentum of the
compound body after the collision. Thus we see that the dry probability
of collision between two neighbours of a vast number of mutually
attracting bodies widely scattered through space is much greater if the
bodies be all given at rest than if they be given moving in any random
directions and with any velocities considerable in comparison with the
velocities which they would acquire in falling from rest into
collision.”
Sir William here argues that the second supposition is far less probable
than the first, because, according to it, the motion of the one body
relatively to the other must, in order to strike, be directed with great
exactness. The result, in such a case, is that collision will rarely
occur; whereas, according to the first supposition, the two bodies
starting from a state of rest will, by their mutual gravitation,
inevitably collide. According to the second hypothesis they will
generally miss; according to the first they will always collide.
I have been led to a conclusion directly opposed to Sir William’s. The
fact, that, according to the second supposition, collisions can but
rarely occur is one reason, amongst others, why I think that supposition
to be true; and the fact that, according to the first supposition,
collisions must frequently occur is also one reason, amongst others, why
I think it very improbable that it can represent the true condition of
things.
Public-domain text, read in full here on John Shaqi.
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