Table 3. Open in new tab Comparison of...

\|$m_1 = 10^{9} \ \rm M_{{\odot }}$\|	Per cent mergers including 1PN	Per cent mergers without 1PN
0.0316/0.0316	9.0	5.1	0.0	14.1(20.5)	44.2	5.8	0.0	50.0(5.1)
0.0316/ 0.1	23.7	3.2	0.0	26.9(13.5)	59.0	1.9	0.0	60.9(5.1)
0.0316/0.3162	9.0	1.3	0.6	10.9(3.8)	41.0	3.2	0.0	44.2(3.8)
0.0316/ 1	25.0	0.0	1.9	26.9(0.0)	62.2	0.0	0.6	62.8(0.0)
0.1/0.0316	4.5	1.9	0.0	6.4(16.7)	29.5	1.9	0.0	31.4(12.8)
0.1/ 0.1	16.0	5.8	0.6	22.4(17.3)	35.9	6.4	1.3	43.6(17.9)
0.1/0.3162	24.4	3.2	1.3	28.8(11.5)	44.9	4.5	0.6	50.0(7.7)
0.1/ 1	25.6	0.0	7.1	32.7(1.3)	40.4	0.6	7.7	48.7(0.0)
0.3162/0.0316	2.6	0.6	0.0	3.2(7.1)	9.0	0.0	0.6	9.6(5.8)
0.3162/ 0.1	12.8	2.6	0.6	16.0(14.1)	17.3	5.8	0.0	23.1(9.6)
0.3162/0.3162	26.3	14.1	3.8	44.2(16.0)	30.1	13.5	4.5	48.1(16.0)
0.3162/ 1	17.3	1.9	4.5	23.7(5.8)	29.5	3.2	5.8	38.5(6.4)
1/0.0316	1.3	0.0	0.0	1.3(5.1)	3.2	0.6	0.0	3.8(1.3)
1/ 0.1	5.8	0.0	0.6	6.4(8.3)	18.6	1.3	1.3	21.2(10.3)
1/0.3162	26.9	12.2	14.1	53.2(16.0)	33.3	9.6	6.4	49.4(13.5)
1/ 1	13.5	14.1	15.4	42.9(21.8)	19.9	16.0	18.6	54.5(11.5)
Average	15.2	4.1	3.2	22.5(11.2)	32.4	4.6	3.0	40.0(7.9)

|$m_1 = 10^{9} \ \rm M_{{\odot }}$|

Per cent mergers including 1PN

Per cent mergers without 1PN

q_in/q_out

m₁−m₂

m₁−m₃

m₂−m₃

Total

m₁−m₂

m₁−m₃

m₂−m₃

Total

0.0316/0.0316

9.0

5.1

0.0

14.1(20.5)

44.2

5.8

0.0

50.0(5.1)

0.0316/ 0.1

23.7

3.2

0.0

26.9(13.5)

59.0

1.9

0.0

60.9(5.1)

0.0316/0.3162

9.0

1.3

0.6

10.9(3.8)

41.0

3.2

0.0

44.2(3.8)

0.0316/ 1

25.0

0.0

1.9

26.9(0.0)

62.2

0.0

0.6

62.8(0.0)

0.1/0.0316

4.5

1.9

0.0

6.4(16.7)

29.5

1.9

0.0

31.4(12.8)

0.1/ 0.1

16.0

5.8

0.6

22.4(17.3)

35.9

6.4

1.3

43.6(17.9)

0.1/0.3162

24.4

3.2

1.3

28.8(11.5)

44.9

4.5

0.6

50.0(7.7)

0.1/ 1

25.6

0.0

7.1

32.7(1.3)

40.4

0.6

7.7

48.7(0.0)

0.3162/0.0316

2.6

0.6

0.0

3.2(7.1)

9.0

0.0

0.6

9.6(5.8)

0.3162/ 0.1

12.8

2.6

0.6

16.0(14.1)

17.3

5.8

0.0

23.1(9.6)

0.3162/0.3162

26.3

14.1

3.8

44.2(16.0)

30.1

13.5

4.5

48.1(16.0)

0.3162/ 1

17.3

1.9

4.5

23.7(5.8)

29.5

3.2

5.8

38.5(6.4)

1/0.0316

1.3

0.0

1.3(5.1)

3.2

0.6

0.0

3.8(1.3)

1/ 0.1

5.8

0.0

0.6

6.4(8.3)

18.6

1.3

21.2(10.3)

1/0.3162

26.9

12.2

14.1

53.2(16.0)

33.3

9.6

6.4

49.4(13.5)

1/ 1

13.5

14.1

15.4

42.9(21.8)

19.9

16.0

18.6

54.5(11.5)

Average

15.2

4.1

3.2

22.5(11.2)

32.4

4.6

3.0

40.0(7.9)

\|$m_1 = 10^{9} \ \rm M_{{\odot }}$\|	Per cent mergers including 1PN	Per cent mergers without 1PN
0.0316/0.0316	9.0	5.1	0.0	14.1(20.5)	44.2	5.8	0.0	50.0(5.1)
0.0316/ 0.1	23.7	3.2	0.0	26.9(13.5)	59.0	1.9	0.0	60.9(5.1)
0.0316/0.3162	9.0	1.3	0.6	10.9(3.8)	41.0	3.2	0.0	44.2(3.8)
0.0316/ 1	25.0	0.0	1.9	26.9(0.0)	62.2	0.0	0.6	62.8(0.0)
0.1/0.0316	4.5	1.9	0.0	6.4(16.7)	29.5	1.9	0.0	31.4(12.8)
0.1/ 0.1	16.0	5.8	0.6	22.4(17.3)	35.9	6.4	1.3	43.6(17.9)
0.1/0.3162	24.4	3.2	1.3	28.8(11.5)	44.9	4.5	0.6	50.0(7.7)
0.1/ 1	25.6	0.0	7.1	32.7(1.3)	40.4	0.6	7.7	48.7(0.0)
0.3162/0.0316	2.6	0.6	0.0	3.2(7.1)	9.0	0.0	0.6	9.6(5.8)
0.3162/ 0.1	12.8	2.6	0.6	16.0(14.1)	17.3	5.8	0.0	23.1(9.6)
0.3162/0.3162	26.3	14.1	3.8	44.2(16.0)	30.1	13.5	4.5	48.1(16.0)
0.3162/ 1	17.3	1.9	4.5	23.7(5.8)	29.5	3.2	5.8	38.5(6.4)
1/0.0316	1.3	0.0	0.0	1.3(5.1)	3.2	0.6	0.0	3.8(1.3)
1/ 0.1	5.8	0.0	0.6	6.4(8.3)	18.6	1.3	1.3	21.2(10.3)
1/0.3162	26.9	12.2	14.1	53.2(16.0)	33.3	9.6	6.4	49.4(13.5)
1/ 1	13.5	14.1	15.4	42.9(21.8)	19.9	16.0	18.6	54.5(11.5)
Average	15.2	4.1	3.2	22.5(11.2)	32.4	4.6	3.0	40.0(7.9)

Table 3.

Open in new tab

Comparison of the merger fraction from the simulations with m₁ = 10⁹ M_⊙, run with and without conservative 1PN corrections.

\|$m_1 = 10^{9} \ \rm M_{{\odot }}$\|	Per cent mergers including 1PN				Per cent mergers without 1PN
q_in/q_out	m₁−m₂	m₁−m₃	m₂−m₃	Total	m₁−m₂	m₁−m₃	m₂−m₃	Total
0.0316/0.0316	9.0	5.1	0.0	14.1(20.5)	44.2	5.8	0.0	50.0(5.1)
0.0316/ 0.1	23.7	3.2	0.0	26.9(13.5)	59.0	1.9	0.0	60.9(5.1)
0.0316/0.3162	9.0	1.3	0.6	10.9(3.8)	41.0	3.2	0.0	44.2(3.8)
0.0316/ 1	25.0	0.0	1.9	26.9(0.0)	62.2	0.0	0.6	62.8(0.0)
0.1/0.0316	4.5	1.9	0.0	6.4(16.7)	29.5	1.9	0.0	31.4(12.8)
0.1/ 0.1	16.0	5.8	0.6	22.4(17.3)	35.9	6.4	1.3	43.6(17.9)
0.1/0.3162	24.4	3.2	1.3	28.8(11.5)	44.9	4.5	0.6	50.0(7.7)
0.1/ 1	25.6	0.0	7.1	32.7(1.3)	40.4	0.6	7.7	48.7(0.0)
0.3162/0.0316	2.6	0.6	0.0	3.2(7.1)	9.0	0.0	0.6	9.6(5.8)
0.3162/ 0.1	12.8	2.6	0.6	16.0(14.1)	17.3	5.8	0.0	23.1(9.6)
0.3162/0.3162	26.3	14.1	3.8	44.2(16.0)	30.1	13.5	4.5	48.1(16.0)
0.3162/ 1	17.3	1.9	4.5	23.7(5.8)	29.5	3.2	5.8	38.5(6.4)
1/0.0316	1.3	0.0	0.0	1.3(5.1)	3.2	0.6	0.0	3.8(1.3)
1/ 0.1	5.8	0.0	0.6	6.4(8.3)	18.6	1.3	1.3	21.2(10.3)
1/0.3162	26.9	12.2	14.1	53.2(16.0)	33.3	9.6	6.4	49.4(13.5)
1/ 1	13.5	14.1	15.4	42.9(21.8)	19.9	16.0	18.6	54.5(11.5)
Average	15.2	4.1	3.2	22.5(11.2)	32.4	4.6	3.0	40.0(7.9)

\|$m_1 = 10^{9} \ \rm M_{{\odot }}$\|	Per cent mergers including 1PN				Per cent mergers without 1PN
q_in/q_out	m₁−m₂	m₁−m₃	m₂−m₃	Total	m₁−m₂	m₁−m₃	m₂−m₃	Total
0.0316/0.0316	9.0	5.1	0.0	14.1(20.5)	44.2	5.8	0.0	50.0(5.1)
0.0316/ 0.1	23.7	3.2	0.0	26.9(13.5)	59.0	1.9	0.0	60.9(5.1)
0.0316/0.3162	9.0	1.3	0.6	10.9(3.8)	41.0	3.2	0.0	44.2(3.8)
0.0316/ 1	25.0	0.0	1.9	26.9(0.0)	62.2	0.0	0.6	62.8(0.0)
0.1/0.0316	4.5	1.9	0.0	6.4(16.7)	29.5	1.9	0.0	31.4(12.8)
0.1/ 0.1	16.0	5.8	0.6	22.4(17.3)	35.9	6.4	1.3	43.6(17.9)
0.1/0.3162	24.4	3.2	1.3	28.8(11.5)	44.9	4.5	0.6	50.0(7.7)
0.1/ 1	25.6	0.0	7.1	32.7(1.3)	40.4	0.6	7.7	48.7(0.0)
0.3162/0.0316	2.6	0.6	0.0	3.2(7.1)	9.0	0.0	0.6	9.6(5.8)
0.3162/ 0.1	12.8	2.6	0.6	16.0(14.1)	17.3	5.8	0.0	23.1(9.6)
0.3162/0.3162	26.3	14.1	3.8	44.2(16.0)	30.1	13.5	4.5	48.1(16.0)
0.3162/ 1	17.3	1.9	4.5	23.7(5.8)	29.5	3.2	5.8	38.5(6.4)
1/0.0316	1.3	0.0	0.0	1.3(5.1)	3.2	0.6	0.0	3.8(1.3)
1/ 0.1	5.8	0.0	0.6	6.4(8.3)	18.6	1.3	1.3	21.2(10.3)
1/0.3162	26.9	12.2	14.1	53.2(16.0)	33.3	9.6	6.4	49.4(13.5)
1/ 1	13.5	14.1	15.4	42.9(21.8)	19.9	16.0	18.6	54.5(11.5)
Average	15.2	4.1	3.2	22.5(11.2)	32.4	4.6	3.0	40.0(7.9)

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