The precise determination of the physical and dynamical parameters of the HIP 109951 triple star system (WDS J22161-0705AB) which is formed by the A, Ba, and Bb components are presented. The binary nature of component B was recently confirmed by studying the radial velocities. The analysis of the system follows Al-Wardat's complex method for analyzing CVBS which employs Kurucz (Atlas9) line blanketed plane-parallel atmospheres simultaneously with an analytic method for dynamical analysis (we used Docobo's method) to calculate the parameters of this triple system. The result of our study yielded the following parameters: T^A_eff = 5836 ± 80 K, R^A = 1.090 ± 0.039R_⊙, log g^A = 4.45 ± 0.06, M^A = 1.05 ± 0.16M_⊙; T^Ba_eff = 5115 ± 80 K, R^Ba = 0.596 ± 0.05R_⊙, log g^Ba = 4.60 ± 0.07, M^Ba = 0.83 ± 0.16M_⊙, T^Bb_eff = 4500 ± 80 K, R^Bb = 0.490 ± 0.06R_⊙, log g^Bb = 4.65 ± 0.07, and M^Bb = 0.67 ± 0.16M_⊙ based on the revised HIPPARCOS parallax. The orbital solution gave a total mass as M = 2.59M_⊙ based on Gaia parallax and M = 2.15M_⊙ based on the revised HIPPARCOS parallax. The synthetic spectral energy distributions (SED) and synthetic stellar photometry of the entire system and individual components are given and compared with the available observational ones. Finally, the positions of the system components on the HR diagram and the evolutionary tracks are given and their formation and the evolution of the system are discussed.

中文翻译：

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三重恒星系统的物理和动力学参数：HIP 109951

提出了由A，Ba和Bb组分形成的HIP 109951三星系统（WDS J22161-0705AB）的物理和动力学参数的精确确定。最近通过研究径向速度证实了组分B的二元性质。该系统的分析遵循Al-Wardat的复杂方法来分析CVBS，该方法同时使用Kurucz（Atlas9）线覆盖的平面平行大气和动力学分析方法（我们使用Docobo方法）来计算此三重系统的参数。我们的研究的结果，得到以下参数：Ť^甲_EFF = 5836±80 K，- [R^甲= 1.090±0.039 [R _⊙，日志克^甲= 4.45±0.06，中号^甲= 1.05±0.16中号_⊙ ; Ť^巴_EFF = 5115±80 K，- [R^巴= 0.596±0.05 - [R _⊙，日志克^的Ba = 4.60±0.07，中号^的Ba = 0.83±0.16中号_⊙，Ť^了Bb _EFF = 4500±80 K，- [R^了Bb = 0.490±0.06 ř _⊙，登录克^了Bb = 4.65±0.07，和中号^了Bb = 0.67±0.16中号_⊙基于修改后的HIPPARCOS视差。轨道溶液，得到总质量为中号= 2.59中号_⊙基于盖亚视差和中号= 2.15中号_⊙基于修订的依巴谷视差。给出了整个系统和单个组件的合成光谱能量分布（SED）和合成恒星光度法，并与可用的观测值进行了比较。最后，给出了系统组件在HR图上的位置和演化轨迹，并讨论了它们的形成和演化。