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Table 3

Spherical accretion model parameters (ne,∞ and T) with the corresponding mass accretion rate (Eq. (2)), the speed of sound at infinity, and the Faraday rotation measures (RM) for assumed radial, coherent, moderate (β = 1), and weak (β = 107) magnetic fields.

ρ T cs,∞ RMGC (β = 1) RMGC (β = 107) RMPulsar (β = 1) RMPulsar (β = 100)
[cm-3] [keV] [M yr-1] [cm s-1] [rad/m2] [rad/m2] [rad/m2] [rad/m2]

1 1 4.6 × 10-7 3.9 × 107 4.4 × 108 1.4 × 105 4.5 × 102 40
1 3.5 7.1 × 10-8 7.4 × 107 2.6 × 107 8.4 × 103 6.6 × 102 70
1 4 5.8 × 10-8 7.9 × 107 2.0 × 107 6.2 × 103 7.1 × 102 70
1 5 4.1 × 10-8 8.9 × 107 1.2 × 107 3.8 × 103 7.8 × 102 80
1 6 3.1 × 10-8 9.7 × 107 7.9 × 106 2.5 × 103 8.4 × 102 80
1 8 2.0 × 10-8 1.1 × 108 4.1 × 106 1.3 × 103 9.6 × 102 1.0 × 102
1 16 7.2 × 10-9 1.5 × 108 9.0 × 105 3.0 × 102 1.3 × 103 1.3 × 102

18.3 3.5 1.3 × 10-6 7.4 × 107 2.1 × 109 6.6 × 105 5.2 × 104 5.2 × 103
18.4 3.5 1.3 × 10-6 7.4 × 107 2.1 × 109 6.6 × 105 5.3 × 104 5.3 × 103

35 1 1.6 × 10-5 3.9 × 107 9.1 × 1010 2.9 × 107 9.3 × 104 9.3 × 103
35 3.5 2.4 × 10-6 7.4 × 107 5.5 × 109 1.7 × 106 1.4 × 105 1.4 × 104
35 4 2.0 × 10-6 7.9 × 107 4.1 × 109 1.3 × 106 1.5 × 105 1.5 × 104
35 5 1.4 × 10-6 8.9 × 107 2.5 × 109 7.8 × 105 1.6 × 105 1.6 × 104
35 6 1.1 × 10-6 9.7 × 107 1.6 × 109 5.2 × 105 1.7 × 105 1.7 × 104
35 8 7.2 × 10-7 1.1 × 108 8.6 × 108 2.7 × 105 2.0 × 105 2.0 × 104
35 16 2.5 × 10-7 1.5 × 108 1.8 × 108 5.8 × 104 2.8 × 105 2.8 × 104

60 1 2.8 × 10-5 3.9 × 107 2.0 × 1011 6.4 × 107 2.1 × 105 2.1 × 104
60 3.5 4.2 × 10-6 7.4 × 107 1.2 × 1010 3.9 × 106 3.1 × 105 3.1 × 104
60 4 3.4 × 10-6 7.9 × 107 9.1 × 109 2.9 × 106 3.3 × 105 3.3 × 104
60 5 2.5 × 10-6 8.9 × 107 5.5 × 109 1.7 × 106 3.6 × 105 3.6 × 104
60 6 1.9 × 10-6 9.7 × 107 3.7 × 109 1.2 × 106 3.9 × 105 3.9 × 104
60 8 1.2 × 10-6 1.1 × 108 1.9 × 109 6.1 × 105 4.4 × 105 4.5 × 104
60 16 4.6 × 10-7 1.5 × 108 4.1 × 108 1.3 × 105 6.2 × 105 6.2 × 104

Notes. Columns 5 and 6 show RM GC computed towards the Galactic centre, while Cols. 7 and 8 represent RMPulsar computed towards pulsar PSR J1745-2900, located 3′′ away from Sgr A* in the projected distance. For comparison, the measured value of RM rad/m2 (Marrone et al. 2007), and RM rad/m2 (Eatough et al. 2013).

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