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277 - 280 ] Disturbances from Passing Stars
they must originally (still speaking statistically) have been greater than they
now are.
The average periods of binaries are so large in comparison with the criti
cal period of 55 days, that the argument can be put in a very simple form.
In a binary of period 100 years, which is about the average period of observed
binaries, the velocity of each component relative to the centre of gravity of
the system is about four kilometres a second. This system is disturbed by
stars and other binary systems moving with velocities relative to it of the
order of forty kilometres a second, and it is excessively improbable that such
disturbance can either leave the relative velocity at the low figure of four
kilometres a second or decrease it still further. The normal event is for the
relative velocity to be increased, and this may either break up the system by
causing its components to describe hyperbolic orbits or may lessen the
period if they continue to describe elliptic orbits. Either event results in a
decrease of the average period of the whole system of binaries.
279. We accordingly conclude that the average period of the binaries in
the sky is at present being reduced by their encounters with other stars.
Hence the average of these periods in the past must have been greater than
the present average of about 100 years, and we must suppose that they had
some other origin than fission of the kind we have had under consideration.
The most probable account of the long-period binaries would seem to be
that they represent the remains of independent condensations in the parent
nebula which failed to get clear of one another’s gravitational fields and have
been describing orbits about one another ever since, their periods being on the
average continually lessened by encounters with other stars.
On this view binary systems fall into two distinct classes—
(i) Systems formed by rotational fission, whose periods are short but
lengthening.
(ii) Systems formed out of independent condensations in the parent
nebula, whose periods are long but shortening.
The former class have, on the average, periods of less than 55 days, and the
latter class periods of more than 55 days. The two classes correspond broadly
to the two observational classes of spectroscopic and visual binaries.
The Genesis of Triple and Multiple Systems.
280. After a binary system has been formed by fission, each of its two
components may undergo a further shrinkage, under the same conditions of
approximate constancy of angular momentum as produced fission in the parent
star, and these conditions may produce fission in the components, thus gene
rating triple or multiple systems. Actually the angular momenta of the two
components will not remain absolutely constant, but will be diminished to a