我們的研究目標為觀測兩個疏散星團NGC 1513 及NGC 225，進行測光、光變分析得到食雙星，最後再藉由自製的基本雙星數值模型來比對觀測資料。使用的觀測數據來自美國亞利桑那州的81 厘米Tenagra II 望遠鏡，其於2009 年的其中60 天的觀測資料。接著使用一套使用多年、標準地變星分析流程來研究疏散星團中的變星。除了對 NGC1513 和 NGC 225 所進行的測光研究為主，為了解在 NGC 1513 和 NGC225 中的食雙星的特徵及原理，我們也發展了基本的雙星數值模型來比對我們的觀測資料。並且創造了一些虛擬的觀測數據來證明模型的精確性。最後，在這兩個星團中共發現12 顆變星，包括了6 顆食雙星，也模擬了這6 顆食雙星的物理參數，從而建立食雙星的環境。

Time-series photometric observations were carried over sixty nights in 2009
using the 81-cm Tenagra telescope in Arizona within the framework of a multi-year
survey program of variable stars in open clusters. The analysis of NGC 1513 and
NGC 225 was a pilot study of this effort, we also developed the basic algorithms
of the eclipsing binary to compute the data points from our observations to
understand the characteristics of eclipsing binary stars in NGC 1513 and NGC
225. About the model, we create some invented observation data to prove the
accuracy of its. Totally we find the 12 variable stars including 6 eclipsing
binaries in NGC 1513 and NGC 225 and get the results of the model fitting of
eclipsing binaries.

1. Barkhatova, K. A. and Dryakhlushina, L. I. , “ The Open Cluster NGC 1513. “ , Soviet Astronomy, Vol. 4, p.313, 1960.
2. Bronnikova, N. M. , “ Wide Star Pairs in the Vicinity of the Four Open Clusters NGC 1513, 1960, 2099 and 6705. “ , Soviet Astronomy, Vol. 6, p.880, 1963.
3. Chandrasekhar, S. , “The Second Post-Newtonian Equations of Hydrodynamics in General Relativity” , Astrophysical Journal, vol. 158, p.45 Astrophysical Journal, vol. 158, p.55, 1969.
4. Eggleton, P. P. , “Approximations to the radii of Roche lobes “ , Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 268, May 1, 1983, p. 368, 369, 1983.
5. Erika, B. V. , Introduction to Stellar Astrophysics: volume 2: Stellar atmosphere, Cambridge University Press, 2003.
6. Gazeas, K.; Liakos, A.; Niarchos, P. , “DD Mon and XY UMa: CCD Photometry and Modeling of Two Close Binary Systems with Solar-Type Components. “ , San Francisco: Astronomical Society of the Pacific, 2010., p.351, 2010.
7. Goodricke, J. , “ A Series of Observations on, and a Discovery of, the Period of the Variation of the Light of the Bright Star in the Head of Medusa, Called Algol. in a Letter from John Goodricke, Esq. to the Rev. Anthony Shepherd, D. D. F. R. S. and Plumian Professor at Cambridge” , Philosophical Transactions of the Royal Society of London, Volume 73, p.474-482, 1783.
8. Hamid, S. ; Huffer, C. M.and Kopal, Z. , “Computation of elements of eclipsing binaries by automatic methods. “ , Astronomical Journal, Vol. 55, p.169, 1950.
9. Hilditch, R. W. and Maxted, P. F. L. The near-contact binary system RU Ursae Minoris, The Observatory, v. 116, p. 288-293, 1996
10. Hilditch, R. W. , An Introduction to Close Binary Stars, The Press Syndicate of the University of Cambridge, 2001.
11. Hoffmeister, C. and Kholopov, P. N. , “ The 67th Name-List of Variable Stars” , Information Bulletin on Variable Stars, 2681, 1, 1985.
12. Howell, S. B., Handbook of CCD Astronomy, Cambridge University Press, 2006.
13. Eldridge, J. J. , “Massive Binaries: birth, life, relationships and deaths.” , National Tsing Hua University, Taiwan, 2010.
14. Kopal, Z. , “ The classification of close binary systems.“ , Annales d''Astrophysique, Vol. 18, p.379, 1955.
15. Kopal, Z. , “ Studies of the darkening coefficient in three wave lengths”, Astronomical Journal, Vol. 60, p. 164, 1955.
16. Kopal, Z. , Close Binary Systems, Chapman & Hall, London, 1959.
17. Kopal, Z. , “ Semi-detached Binaries and Stellar Evolution. “ , Astronomical Society of the Pacific Leaflets, Vol. 8, p.81, 1959.
18. Kukarkin, B. V. and Kholopov, P. N. et al. , “ Third Supplement to the third edition of the General Catalogue of Variable Stars, containing information on 699 variable stars designated in 1974 - 1975 and improved information on 3923 previously designated variable stars. “ , The Academy of Sciences of the USSR, Sternberg State Astronomical Institute of the Moscow State University. Moskva: Nauka, 372 p, 1976.
19. Landolt, A.U. , “ UBVRI photometric standard stars in the magnitude range 11.5-16.0 around the celestial equator. “ , Astronomical Journal, vol. 104, no. 1, July 1992, p. 340-371, p.436-491, 1992.
20. Lattanzi, M. G. ; Massone, G. and Munari, U. , “Memberships and CM diagrams of young open clusters. I - NGC 225. “ , Astronomical Journal (ISSN 0004-6256), vol. 102, p.177-199, 1991.
21. Lim, J. and Takakuwa, “Properties and Formation of the Multiple Protostellar System L1551 IRS 5” , Shigehisa The Astrophysical Journal, Volume 653, Issue 1, p.425-436, 2006.
22. Linnell, A. P.; Etzel, P. B.; Hubeny, I. et al. , “A Photometric and Spectrophotometric Study of MR Cygni.” , Astrophysical Journal v.494, p.773, 1998.
23. Maciejewski, G. and Niedzielski, A. ,“ CCD BV survey of 42 open clusters. “ , Astronomy and Astrophysics, Volume 467, Issue 3, June I 2007, pp.1065-1074 , 2007。
24. Neil F. C. and William J. K., Discovering the Universe, 7th Edition, 2005.
25. Nguyen, Q. , “DOPPLER TOMOGRAPHY OF THE ACCRETION DISK IN THE ALGOL BINARY KU CYGNI. “ , SAN DIEGO STATE UNIVERSITY, 1999.
26. Russell, H. N. , “Elements of the eclipsing variables W Delphini, W Ursae Majoris, and W Crucis. “ , Astrophysical Journal, vol. 36, p.133-155, 1912.
27. Russell, H. N. , “ On the Determination of the Orbital Elements of Eclipsing Variable Stars. I、II. ” , Astrophysical Journal, vol. 35, p.315 and vol. 36, p.54 , 1912.
28. Russell, H. N. and Shapley, H. , “On Darkening at the Limb in Eclipsing Variables. I、II.” , Astrophysical Journal, vol. 36, p.239、p.385, 1912.
29. Stellingwerf, R. F. , “Period Determination Using Phase Dispersion Minimization. “ , Astrophysical Journal, vol. 224, p.953-960, 1978.
30. Taylor, J. K. , “Eclipsing binary stars in open clusters. “ , The Observatory, 126, 384-385, 2006.
31 Vogel, H. C. , “ Orbit and Mass of Algol” , Publications of the Astronomical Society of the Pacific, Vol. 2, No. 6, p.27, 1890.
32. Herschel, W. , “ Catalogue of 500 New Nebulae, Nebulous Stars, Planetary Nebulae, and Clusters of Stars; With Remarks on the Construction of the Heavens” , Philosophical Transactions of the Royal Society of London, Volume 92, p.477-528, 1802.
33. Wilson, R. E.and Devinney, E. J. , “Realization of Accurate Close-Binary Light Curves: Application to MR Cygni. “ , Astrophysical Journal, vol. 166, p.605, 1971.
34. 木下大輔,陳錦威,林宏欽,林忠義,黃癸雲,陳文屏,鹿林天文台CCD光度系統之特性與效能。
35. 林建爭，「Probability of Stellar Occultation by KBOs and Identifications of Variable Stars in the TAOS Databases」，國立中央大學，碩士論文，2007。
36. 胡瑞華，「在疏散星團中尋找系外行星與變星」，國立中央大學，碩士論文，2004。
37. 陳婷婉，「Ib/c型超新星之後續光變觀測」，國立中央大學，碩士論文，2008。
38. Astronomy Education at the University of Nebraska-Lincoln：
http://astro.unl.edu/
39. American Association of Variable Star Observers (AAVSO)：
http://www.aavso.org/
40. General Catalogue of Variable Star (GCVS)：http://www.sai.msu.su/groups/cluster/gcvs/gcvs/
41. Information Bulletin on Variable Stars (IBVS)：
http://www.konkoly.hu/IBVS/IBVS.html
42. NStED Periodogram Service：
http://nsted.ipac.caltech.edu/periodogram/cgi-bin/Periodogram/nph-simpleupload
43. Tenagra Observatory：
http://www.tenagraobservatories.com/