2018年IAO实测低年组第6题-变星的脉动周期

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英文原题

Pulsation peroid of a variable star. SZ Lyn is a δ Scuti (δ Sct) type short period pulsating star. the star is observed in B band at Mount Abu Observatory, India. The light curve data are given in the table 6. The different magnitudes were taken by observing a comparison star in the same field. The time is in Julian Days(JD). This data set is only for one observation night and therefore integer part of the JD does not change. You are asked to produce the light curve for this observation.

6.1. Plot the data points, differential magnitude against the Julian Day（JD).

6.2 Draw a smooth light curve throgh the data pionts.

6.3. The period of pulsation is assumed to be the between consecutive maxims in the light curve. Estimate the pilsation period (P) of SZ Lyn.

6.4. Calculate the absolute magnitude of SZ Lyn, if the perios-uminosity relationship for δ Scuti type stars is given by empirical formal

$$M_{b}\ =\ -2.36\ lg\ P\ -\ 0.62$$

6.5. If the apparement magnitude (m_B) of SZ Lyn is 9.7^m, estimate the distance to SZ Lyn.

中文翻译

变星的脉动周期 SZ Lyn 是一颗δ Scuti（δ Sct）型短周期脉动变星。它被印度的Mount Abu天文台用B波段观测。它的光度曲线在Table 6中，其星等的变化是通过对比视场内的其他恒星得到的。时间是儒略日（JD）。因为这些数据都来自同一个夜晚，所以儒略日的整数部分没有改变。你要画出该次观测的光变曲线。

6.1. 以星等为纵轴，儒略日为横轴，画出这些数据点。

6.2. 连接这些数据点画出一条平滑的光变曲线。

6.3. 假设两个最大值之间是一个脉动周期，估算SZ Lyn的光变周期（P）。

6.4. 计算SZ Lyn的绝对星等，如果δ Scuti型变星的亮度-周期关系的经验公式是

$$M_{b}\ =\ -2.36\ lg\ P\ -\ 0.62$$。

6.5 如果SZ Lyn 的视星等是9.7^m，计算SZ Lyn的距离。