## 4. Possible regions of escapeFrom relative distances of the participating bodies for small value
of
It means is the smallest and therefore may escape and form a binary.
Thus we have may escape and form a binary.
We cannot take a decision as it is not possible to point out the smallest distance.
Thus we have may escape and form a binary.
Now there are three possibilities according as -
(a) When , we have may escape and form a binary. -
(b) When , it means is smallest and therefore may escape and form a binary. -
(c) When . We can not take a decision due to equality sign.
Thus we get may escape and form a binary.
Here, we can not take a decision due to equality sign.
It means may escape and form a binary.
Here, we cannot take a decision due to equality sign. The above results may change for higher values of From the above analysis, we conclude that out of the 9 cases, we may be able to take a decision only in 6 cases. In the literature, many escape conditions exist. By Sundman (1912), it is sufficient for escape that According to the above escape condition, form a binary and escapes. It has to be modified according to the escaper. In our case, the above condition is satisfied and escape does occur
for sufficiently small values of
( © European Southern Observatory (ESO) 1999 Online publication: May 21, 1999 |