Past exam of the astrophysics course of the University of Oxford / 2015 / 1 / b / i

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- Solution i

Solution

The binary of neutron stars has

M = 2.8 M_{⊙}

and

μ = 0.7 M_{⊙}

. Inserting these into the circular orbital decay timescale gives

A_{m a x} = 2.38 \times 1 0^{9} m, P_{m a x} = 10.5 h .

Using the integrated ten-billion-year merger criterion instead would give

15.2

h.

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