{"title":"C","authors":"S. Rucinski, W. Lu","doi":"10.1515/9780748629862-004","DOIUrl":null,"url":null,"abstract":"We use photometric and spectroscopic observations of the eclipsing binaries V65, V66, and V69 in the field of the globular cluster M4 to derive masses, radii, and luminosities of their components. The orbital periods of these systems are 2.29, 8.11, and 48.19 days, respectively. The measured masses of the primary and secondary components (Mp and Ms) are 0.8035 ± 0.0086 and 0.6050 ± 0.0044 M for V65, 0.7842 ± 0.0045 and 0.7443 ± 0.0042 M for V66, and 0.7665 ± 0.0053 and 0.7278 ± 0/0048 M for V69. The measured radii (Rp and Rs) are 1.147 ± 0.010 and 0.6110 ± 0.0092 R for V66, 0.9347 ± 0.0048 and 0.8298 ± 0.0053 R for V66, and 0.8655 ± 0.0097 and 0.8074 ± 0.0080 R for V69. The orbits of V65 and V66 are circular, whereas that of V69 has an eccentricity of 0.38. Based on systemic velocities and relative proper motions, we show that all three systems are members of the cluster. We find that the distance to M4 is 1.82 ± 0.04 kpc—in good agreement with recent estimates based on entirely different methods. We compare the absolute parameters of V66 and V69 with two sets of theoretical isochrones in mass–radius and mass–luminosity diagrams, and for assumed [Fe/H] = −1.20, [α/Fe] = 0.4, and Y = 0.25 we find the most probable age of M4 to be between 11.2 and 11.3 Gyr. Color–magnitude diagram (CMD) fitting with the same parameters yields an age close to, or slightly in excess of, 12 Gyr. However, considering the sources of uncertainty involved in CMD fitting, these two methods of age determination are not discrepant. Age and distance determinations can be further improved when infrared eclipse photometry is obtained.","PeriodicalId":187358,"journal":{"name":"A Glossary of Cognitive Linguistics","volume":"254 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"C\",\"authors\":\"S. Rucinski, W. Lu\",\"doi\":\"10.1515/9780748629862-004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We use photometric and spectroscopic observations of the eclipsing binaries V65, V66, and V69 in the field of the globular cluster M4 to derive masses, radii, and luminosities of their components. The orbital periods of these systems are 2.29, 8.11, and 48.19 days, respectively. The measured masses of the primary and secondary components (Mp and Ms) are 0.8035 ± 0.0086 and 0.6050 ± 0.0044 M for V65, 0.7842 ± 0.0045 and 0.7443 ± 0.0042 M for V66, and 0.7665 ± 0.0053 and 0.7278 ± 0/0048 M for V69. The measured radii (Rp and Rs) are 1.147 ± 0.010 and 0.6110 ± 0.0092 R for V66, 0.9347 ± 0.0048 and 0.8298 ± 0.0053 R for V66, and 0.8655 ± 0.0097 and 0.8074 ± 0.0080 R for V69. The orbits of V65 and V66 are circular, whereas that of V69 has an eccentricity of 0.38. Based on systemic velocities and relative proper motions, we show that all three systems are members of the cluster. We find that the distance to M4 is 1.82 ± 0.04 kpc—in good agreement with recent estimates based on entirely different methods. We compare the absolute parameters of V66 and V69 with two sets of theoretical isochrones in mass–radius and mass–luminosity diagrams, and for assumed [Fe/H] = −1.20, [α/Fe] = 0.4, and Y = 0.25 we find the most probable age of M4 to be between 11.2 and 11.3 Gyr. Color–magnitude diagram (CMD) fitting with the same parameters yields an age close to, or slightly in excess of, 12 Gyr. However, considering the sources of uncertainty involved in CMD fitting, these two methods of age determination are not discrepant. Age and distance determinations can be further improved when infrared eclipse photometry is obtained.\",\"PeriodicalId\":187358,\"journal\":{\"name\":\"A Glossary of Cognitive Linguistics\",\"volume\":\"254 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-05-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"A Glossary of Cognitive Linguistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/9780748629862-004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"A Glossary of Cognitive Linguistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/9780748629862-004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们利用对球状星团M4区域内的食双星V65、V66和V69的光度和光谱观测,得出了它们组成部分的质量、半径和光度。这三个系统的轨道周期分别为2.29、8.11和48.19天。V65的主、次分量(Mp和Ms)的测量质量分别为0.8035±0.0086和0.6050±0.0044 M, V66的测量质量分别为0.7842±0.0045和0.7443±0.0042 M, V69的测量质量分别为0.7665±0.0053和0.7278±0/0048 M。V66的测量半径(Rp和Rs)分别为1.147±0.010和0.6110±0.0092 R, V66的测量半径为0.9347±0.0048和0.8298±0.0053 R, V69的测量半径为0.8655±0.0097和0.8074±0.0080 R。V65和V66的轨道是圆形的,而V69的离心率为0.38。基于系统速度和相对固有运动,我们证明了这三个系统都是星团的成员。我们发现到M4的距离为1.82±0.04 kpc,与最近基于完全不同方法的估计非常吻合。我们将V66和V69的绝对参数与两组质量-半径和质量-光度图的理论等时线进行了比较,假设[Fe/H] = - 1.20, [α/Fe] = 0.4, Y = 0.25,我们发现M4最可能的年龄在11.2 - 11.3 Gyr之间。彩色星等图(CMD)与相同的参数拟合得到的年龄接近或略超过12 Gyr。然而,考虑到CMD拟合中涉及的不确定性来源,这两种年龄确定方法并没有差异。当获得红外月食光度测量时,年龄和距离的确定可以进一步改进。
We use photometric and spectroscopic observations of the eclipsing binaries V65, V66, and V69 in the field of the globular cluster M4 to derive masses, radii, and luminosities of their components. The orbital periods of these systems are 2.29, 8.11, and 48.19 days, respectively. The measured masses of the primary and secondary components (Mp and Ms) are 0.8035 ± 0.0086 and 0.6050 ± 0.0044 M for V65, 0.7842 ± 0.0045 and 0.7443 ± 0.0042 M for V66, and 0.7665 ± 0.0053 and 0.7278 ± 0/0048 M for V69. The measured radii (Rp and Rs) are 1.147 ± 0.010 and 0.6110 ± 0.0092 R for V66, 0.9347 ± 0.0048 and 0.8298 ± 0.0053 R for V66, and 0.8655 ± 0.0097 and 0.8074 ± 0.0080 R for V69. The orbits of V65 and V66 are circular, whereas that of V69 has an eccentricity of 0.38. Based on systemic velocities and relative proper motions, we show that all three systems are members of the cluster. We find that the distance to M4 is 1.82 ± 0.04 kpc—in good agreement with recent estimates based on entirely different methods. We compare the absolute parameters of V66 and V69 with two sets of theoretical isochrones in mass–radius and mass–luminosity diagrams, and for assumed [Fe/H] = −1.20, [α/Fe] = 0.4, and Y = 0.25 we find the most probable age of M4 to be between 11.2 and 11.3 Gyr. Color–magnitude diagram (CMD) fitting with the same parameters yields an age close to, or slightly in excess of, 12 Gyr. However, considering the sources of uncertainty involved in CMD fitting, these two methods of age determination are not discrepant. Age and distance determinations can be further improved when infrared eclipse photometry is obtained.