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Table 2.
Examples illustrating the results of the parametric studies in Table 1 for pulsars with small companions.
Parameter | Case | B* | R* | P* | r | Rc | Lnt | σc | fceo | S | Lsd | Ėiso, A | Ėiso, S | τsd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Unit | # | T | km | ms | AU | km | W | mho | GHz | Jy | W | W | W | yr |
Pulsar and asteroids | ||||||||||||||
ϵ = 10−2, γ = 3 × 106, ΩA = 0.1 sr, T* = 5 × 105 K | ||||||||||||||
Long P* | 1 | 3.2 × 108 | 12 | 32 | 0.01 | 10 | 1025 | 102 | 28003 | 0.7 | 1.7 × 1032 | 9.0 × 1034 | 8.6 × 1034 | 381 |
Long P* | 2 | 109 | 10 | 32 | 0.06 | 46 | 1027 | 107 | 1271 | 1.2 | 5.8 × 1032 | 1.6 × 1035 | 1.5 × 1035 | 114 |
ϵ = 10−2, γ = 3 × 106, ΩA = 0.1 sr, T* = 106 K | ||||||||||||||
Low B*, σc | 3 | 3.2 × 107 | 11 | 3 | 0.1 | 10 | 1027 | 102 | 212 | 0.4 | 1.0 × 1034 | 5.2 × 1034 | 5.0 × 1034 | 642 |
Small Rc | 4 | 3.2 × 108 | 10 | 3 | 0.1 | 2 | 1027 | 107 | 1595 | 1.0 | 5.8 × 1035 | 1.4 × 1035 | 1.3 × 1035 | 11 |
Mild | 5 | 3.2 × 108 | 12 | 10 | 0.1 | 10 | 1027 | 102 | 872 | 0.7 | 1.7 × 1034 | 8.8 × 1034 | 8.8 × 1034 | 38 |
Large Lnt | 6 | 108 | 10 | 3 | 0.25 | 10 | 1028 | 107 | 80 | 0.3 | 5.8 × 1034 | 4.6 × 1034 | 4.5 × 1034 | 114 |
Large Lnt | 7 | 3.2 × 108 | 10 | 3 | 0.63 | 10 | 1029 | 107 | 40 | 0.5 | 5.8 × 1035 | 7.3 × 1034 | 7.0 × 1034 | 11 |
Large S | 8 | 3.2 × 108 | 10 | 3 | 0.1 | 10 | 1027 | 102 | 1595 | 22. | 5.8 × 1035 | 3.0 × 1036 | 2.8 × 1036 | 11 |
Large r | 9 | 108 | 12 | 3 | 0.4 | 10 | 1027 | 107 | 54 | 0.4 | 1.7 × 1035 | 5.5 × 1034 | 5.3 × 1034 | 38 |
ϵ = 10−2, γ = 3 × 106, ΩA = 1 sr, T* = 106 K | ||||||||||||||
Large r | 10 | 3.2 × 108 | 10 | 3 | 0.16 | 10 | 1027 | 102 | 633 | 0.9 | 5.8 × 1035 | 1.2 × 1035 | 1.1 × 1035 | 11 |
Low B* | 11 | 108 | 11 | 3 | 0.1 | 10 | 1027 | 107 | 671 | 0.4 | 1.0 × 1035 | 5.2 × 1034 | 5.0 × 1034 | 64 |
ϵ = 2 × 10−3, γ = 106, ΩA = 0.1 sr, T* = 106 K | ||||||||||||||
Low γ | 12 | 3.2 × 108 | 10 | 3 | 0.1 | 10 | 1027 | 107 | 532 | 0.5 | 5.8 × 1035 | 6.6 × 1034 | 6.3 × 1034 | 11 |
ϵ = 2 × 10−3, γ = 3 × 106, ΩA = 0.1 sr, T* = 106 K | ||||||||||||||
Long τsd | 13 | 108 | 10 | 3 | 0.1 | 10 | 1027 | 107 | 504 | 0.4 | 5.8 × 1034 | 5.9 × 1034 | 5.7 × 1034 | 114 |
Large S, τsd | 14 | 3.2 × 107 | 10 | 3 | 0.025 | 100 | 1025 | 107 | 2552 | 71. | 5.8 × 1033 | 9.4 × 1036 | 9.0 × 1036 | 1138 |
Huge S | 15* | 108 | 10 | 3 | 0.025 | 316 | 1025 | 102 | 8071 | 7 × 103 | 5.8 × 1034 | 9.4 × 1038 | 9.0 × 1038 | 114 |
Magnetar and asteroids | ||||||||||||||
ϵ = 10−2, γ = 3 × 106, ΩA = 0.1 sr, T* = 2.×106 K | ||||||||||||||
Small Rc | 16 | 1010 | 10 | 100 | 0.1 | 46 | 1027 | 10 | 1595 | 0.5 | 5.8 × 1032 | 6.4 × 1034 | 6.1 × 1034 | 11.4 |
Notes. Input parameters are provided in the upper line (above the double line). We abbreviate the maximum admissible value of (1 − f)gLsd as Lnt.
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