A review of spectroscopic methods for observations of stars in searching for and studying exoplanets is presented. Instrumental errors in measuring radial velocities and strategies to decrease (or fundamentally eliminate) them are considered. The role of astrometric and photometric methods is pointed out. The results of the study of the chemical composition of parent stars and the spectroscopy of transit phenomena are discussed. Some promising directions are evaluated. The development of Russian ground-based and orbital instruments for spectroscopy and spectropolarimetry of stars is reported.

中文翻译：

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用光谱法研究系外行星

提出了一种用于寻找和研究系外行星的光谱方法，用于观测恒星。考虑了测量径向速度时的工具误差以及减小（或从根本上消除它们）策略的方法。指出了天文和光度法的作用。讨论了对母星化学成分和传输现象的光谱学研究的结果。对一些有希望的方向进行了评估。据报道，俄罗斯的地面和轨道仪器用于恒星的光谱学和极化极谱法的发展。