Abstract
Linear and nonlinear pulsation computations for the modelsM=0.8M ⊙,L=10000 and 20000L ⊙ were carried out in order to understand FG Sge's pulsation. The results may be summarized as follows:
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(1)
In the modelsL=10000L ⊙, the fundamental blue edge is nearT e =5700 K. The models show that instability of the third overtone extends to 7400 K and still has large positive growth rates. A nonlinear model of 7000 K shows a small amplitude ΔV=10 km s−1, ΔM bol=0.03 with a period of around 18 days, nearly equal to that of the third overtone.
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(2)
In the linear models ofL=20000L ⊙, the fundamental blue edge is shifted to 7000 K but the damping of this mode is so small that it is marginally stable to 7700 K. The third overtone has large positive growth rates of this region. The nonlinear model at 7700 K, however, shows no indication of third overtone pulsation.
We also examine the possibility, suggested by Whitney (1978), that the mass of FG Sge is 0.4M ⊙.
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Aikawa, T. Radial pulsation of less-massive yellow supergiants. Astrophys Space Sci 116, 401–409 (1985). https://doi.org/10.1007/BF00653795
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DOI: https://doi.org/10.1007/BF00653795