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The Size, Structure, and Variability of Late-Type Stars Measured ...

The Size, Structure, and Variability of Late-Type Stars Measured ...

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82<br />

Figure 4.3: A uniform intensity elliptical star will reproduce the observed 11.1±1.4% relative<br />

size change only if its axial ratio <strong>and</strong> position angle (relative to the 2001 baseline) are within<br />

the dashed lines shown above.<br />

so well-correlated with switching baseline direction. No significant change was observed<br />

between 1999 <strong>and</strong> 2000 on a single baseline even though the measurements were separated<br />

in time by a year. Apparent asymmetries in Miras, including o Cet, have already<br />

been observed (see Section 3.1). Elongation having an axial ratio as low as 0.77 in o Cet<br />

(Karovska et al. (1997) [57]) in the visible <strong>and</strong> as low as 0.7 for R Tri (a Mira) in the nearinfrared<br />

(Thompson et al. (2002) [97]) has been reported. A uniform intensity elliptical<br />

stellar disk with an axial ratio less than 0.83 could be responsible for the observed increase<br />

in diameter between the 1999/2000 <strong>and</strong> 2001 baselines. <strong>The</strong> possible elliptical models <strong>of</strong><br />

o Cet which would reproduce the 11.1% size change are illustrated in Figure 4.3. <strong>The</strong> axial<br />

ratio <strong>and</strong> position angle <strong>of</strong> the ellipse are constrained to lie between the dashed lines in<br />

order for an elongation to cause the observed change in apparent diameter. Elongation in<br />

Mira variables could be due to the excitement <strong>of</strong> a non-radial mode <strong>of</strong> pulsation or possibly

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