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Table 3

Results of fitting the parameters for AG Peg, for three assumed values of the inclination i, in the range 30−90 degrees.

i = 30°
M 2 M 1 a M bol R L R 2 f = R2/RL vsini ϖ (mas)
0.8 0.5944 1.91 −1.499 166.6 47.51 0.2851 1.481 2.299
1.0 0.6704 2.029 −1.912 180.9 57.45 0.3176 1.791 1.901
1.3 0.7746 2.181 −2.375 199.2 71.11 0.3569 2.217 1.536
1.6 0.8702 2.311 −2.728 215.1 83.64 0.3889 2.607 1.306
2.0 0.9879 2.462 −3.094 233.6 99.01 0.4238 3.087 1.103
2.5 1.123 2.626 −3.449 253.8 116.6 0.4596 3.635 0.9366
3.0 1.249 2.769 −3.733 271.5 132.9 0.4895 4.143 0.8219
3.5 1.368 2.897 −3.969 287.6 148.2 0.5152 4.618 0.7373
4.0 1.48 3.014 −4.171 302.2 162.6 0.538 5.068 0.6719
i = 50°
M 2 M 1 a M bol R L R 2 f = R2/RL vsini ϖ (mas)
0.8 0.339 1.785 −1.499 174.5 47.51 0.2723 2.269 2.299
1.0 0.3865 1.906 −1.912 189.6 57.45 0.303 2.744 1.901
1.3 0.4517 2.061 −2.375 209.1 71.11 0.3402 3.396 1.536
1.6 0.5116 2.193 −2.728 225.9 83.64 0.3703 3.995 1.306
2.0 0.5855 2.347 −3.094 245.5 99.01 0.4032 4.729 1.103
2.5 0.6709 2.512 −3.449 266.9 116.6 0.4369 5.57 0.9366
3.0 0.7503 2.656 −3.733 285.8 132.9 0.4651 6.348 0.8219
3.5 0.8251 2.786 −3.969 302.7 148.2 0.4894 7.076 0.7373
4.0 0.8963 2.903 −4.171 318.3 162.6 0.5108 7.765 0.6719
i = 90°
M 2 M 1 a M bol R L R 2 f = R2/RL vsini ϖ (mas)
0.8 0.2452 1.735 −1.499 180.1 47.51 0.2638 2.962 2.299
1.0 0.2808 1.857 −1.912 195.7 57.45 0.2935 3.581 1.901
1.3 0.3298 2.012 −2.375 215.9 71.11 0.3294 4.434 1.536
1.6 0.3748 2.145 −2.728 233.4 83.64 0.3584 5.215 1.306
2.0 0.4304 2.299 −3.094 253.7 99.01 0.3902 6.173 1.103
2.5 0.4947 2.464 −3.449 275.9 116.6 0.4227 7.271 0.9366
3.0 0.5546 2.609 −3.733 295.4 132.9 0.4499 8.286 0.8219
3.5 0.6111 2.739 −3.969 313 148.2 0.4733 9.237 0.7373
4.0 0.6648 2.857 −4.171 329.1 162.6 0.494 10.14 0.6719

Notes. In each case, we indicate the mass of the giant, M2; of its hot companion, M1; the semi-major axis, a (in AU); the bolometric magnitude; the Roche lobe radius, RL (in R⊙); the radius of the giant, R2 (in R⊙); the filling factor, f = R2/RL; the rotational velocity, vsini (in km s-1), assuming rotation is coplanar to the orbital motion; and the resulting parallax, ϖ, in mas.

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