类星体长周期光变分析方法的研究
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摘要
给出了4种分析类星体长周期光变的方法,用一个模拟的周期信号y=sinθ检验这4种分析方法,结果表明:(1)天体光变采样的数据点个数相对少到一定值时,Jurkevich方法、时间补偿离散傅里叶变换分析方法(DCDFT)、离散相关分析方法(DCF)和功率谱密度分析方法(PSD)的分析结果不一样,获取最短的连续数据点后,Jurkevich方法分析结果在4种方法中可能最为精确可靠,且计算方法简捷实用;(2)获得了Jurkevich分析方法的最佳参数,当m=9时分析结果最佳;(3)用m=9时的Jurkevich方法分析了类星体3C 279及3C 454.3的光变周期,得出3C 279的可能光变周期为(2.81±0.54)年,3C 454.3的可能光变周期为457 d。
This paper first introduces four methods for analyzing long-period variability of quasars, then uses a simulated periodic signal y=sinθ to test four methods. The analysis results show:(1) When the number of data points sampled by the celestial body is relatively small to a certain value, the analysis results of Jurkevich method, DCDFT method, DCF method and PSD method are different. After getting the shortest continuous data point, the analysis result of Jurkevich method is probably the most accurate and reliable among the four methods, and the calculation method is simple and practical.(2) The best parameters of the Jurkevich analysis method are obtained, and the best results are when m=9.(3) Using the Jurkevich method with m=9 to analyze the variability of 3 C 279 is about(2.81 ± 0.54) years and the variability of 3 C 454.3 is about 457 d.
This paper first introduces four methods for analyzing long-period variability of quasars, then uses a simulated periodic signal y=sinθ to test four methods. The analysis results show:(1) When the number of data points sampled by the celestial body is relatively small to a certain value, the analysis results of Jurkevich method, DCDFT method, DCF method and PSD method are different. After getting the shortest continuous data point, the analysis result of Jurkevich method is probably the most accurate and reliable among the four methods, and the calculation method is simple and practical.(2) The best parameters of the Jurkevich analysis method are obtained, and the best results are when m=9.(3) Using the Jurkevich method with m=9 to analyze the variability of 3 C 279 is about(2.81 ± 0.54) years and the variability of 3 C 454.3 is about 457 d.
引文
[1] 谢照华. 耀变体的吸积盘与喷流关联及粘滞系数的研究[D]. 昆明: 云南大学, 2012.
[2] 王文广. 耀变体的光变特性及色指数分析[D]. 昆明: 云南师范大学, 2017.
[3] FAN J H, ADAM G, XIE G Z, et al. Correlation between the gamma-ray and the radio emissions[J]. Astronomy & Astrophysics, 1998, 338(1): 27-30.
[4] FAN J H, KURTANIDZE O, LIU Y, et al. Optical monitoring of two brightest nearby quasars, PHL 1811 and 3C 273[J]. The Astrophysical Journal Supplement, 2014, 213(2): article id. 26.
[5] RIEGER F M, MANNHEIM K. Implications of a possible 23 day periodicity for binary black hole models in Mkn～501[J]. Astronomy & Astrophysics, 2012, 359(3): 948-952.
[6] WEBB J R, SMITH A G, LEACOCK R J, et al. Optical observations of 22 violently variable extragalactic sources-1968-1986[J]. The Astronomical Journal, 1988, 95(2): 374-397.
[7] JURKEVICH I. A method of computing periods of cyclic phenomena[J]. Astrophysics and Space Science, 1971, 13(1): 154-167.
[8] 余莲, 张雄, 王文广, 等. 蝎虎天体PKS 0735+178的光变特性分析[J]. 天文研究与技术, 2018, 15(1): 10-16.
[9] FERRAZ-MELLO S. Estimation of periods from unequally spaced observations[J]. The Astronomical Journal, 1981, 86(4): 619.
[10] 罗双玲, 张雄, 王文广. 时间补偿离散傅里叶变换分析PKS 1510-089 红外光变周期[J]. 云南师范大学学报 (自然科学版), 2016, 36(5): 1-4.
[11] FAN J H, LIN R G. The variability analysis of PKS 2155-304[J]. Astronomy & Astrophysics, 2000, 355(3): 880-884.
[12] 张蓉竹, 蔡邦维, 杨春林, 等. 功率谱密度的数值计算方法[J]. 强激光与粒子束, 2000(6): 661-664.
[13] 张雄, 谢光中, 白金明. 用Jurkevich方法分析计算BL Lac天体的光变周期[J]. 天体物理学报, 1998(3): 33-41.
[14] KIDGER M R, TAKALO L, SILLANP A. A new analysis of the 11-year period in OJ287: confirmation of its existence[J]. Astronomy and Astrophysics, 1992, 264: 32-361.
[15] PYATUNINA T B, KUDRYAVTSEVA N A, GABUZDA D C, et al. Frequency-dependent time delays for strong outbursts in selected blazars from the Metsahovi and UMRAO monitoring data bases-Ⅱ[J]. Monthly Notices of the Royal Astronomical Society, 2007, 381(2): 797-808.
[16] HEIDT J, WAGNER S J. Statistics of optical intraday variability in a complete sample of radio-selected BL Lac objects[J]. Astronomy and Astrophysics, 1996, 305: 42-52.
[17] 刘凯博, 杨东末, 侯德东, 等. Jurkevich方法在3C 120天体光变周期分析中的应用[J]. 云南师范大学学报 (自然科学版), 2009, 29(5): 1-5, 16.
[18] 李怀珍. Blazar天体的光变及能谱分布的研究[D]. 昆明: 云南大学, 2011.
[19] 苏成悦. 类星体PKS 2251+158的长期光学光变周期分析[J]. 天体物理学报, 2000, 20(1): 11-16.
[2] 王文广. 耀变体的光变特性及色指数分析[D]. 昆明: 云南师范大学, 2017.
[3] FAN J H, ADAM G, XIE G Z, et al. Correlation between the gamma-ray and the radio emissions[J]. Astronomy & Astrophysics, 1998, 338(1): 27-30.
[4] FAN J H, KURTANIDZE O, LIU Y, et al. Optical monitoring of two brightest nearby quasars, PHL 1811 and 3C 273[J]. The Astrophysical Journal Supplement, 2014, 213(2): article id. 26.
[5] RIEGER F M, MANNHEIM K. Implications of a possible 23 day periodicity for binary black hole models in Mkn～501[J]. Astronomy & Astrophysics, 2012, 359(3): 948-952.
[6] WEBB J R, SMITH A G, LEACOCK R J, et al. Optical observations of 22 violently variable extragalactic sources-1968-1986[J]. The Astronomical Journal, 1988, 95(2): 374-397.
[7] JURKEVICH I. A method of computing periods of cyclic phenomena[J]. Astrophysics and Space Science, 1971, 13(1): 154-167.
[8] 余莲, 张雄, 王文广, 等. 蝎虎天体PKS 0735+178的光变特性分析[J]. 天文研究与技术, 2018, 15(1): 10-16.
[9] FERRAZ-MELLO S. Estimation of periods from unequally spaced observations[J]. The Astronomical Journal, 1981, 86(4): 619.
[10] 罗双玲, 张雄, 王文广. 时间补偿离散傅里叶变换分析PKS 1510-089 红外光变周期[J]. 云南师范大学学报 (自然科学版), 2016, 36(5): 1-4.
[11] FAN J H, LIN R G. The variability analysis of PKS 2155-304[J]. Astronomy & Astrophysics, 2000, 355(3): 880-884.
[12] 张蓉竹, 蔡邦维, 杨春林, 等. 功率谱密度的数值计算方法[J]. 强激光与粒子束, 2000(6): 661-664.
[13] 张雄, 谢光中, 白金明. 用Jurkevich方法分析计算BL Lac天体的光变周期[J]. 天体物理学报, 1998(3): 33-41.
[14] KIDGER M R, TAKALO L, SILLANP A. A new analysis of the 11-year period in OJ287: confirmation of its existence[J]. Astronomy and Astrophysics, 1992, 264: 32-361.
[15] PYATUNINA T B, KUDRYAVTSEVA N A, GABUZDA D C, et al. Frequency-dependent time delays for strong outbursts in selected blazars from the Metsahovi and UMRAO monitoring data bases-Ⅱ[J]. Monthly Notices of the Royal Astronomical Society, 2007, 381(2): 797-808.
[16] HEIDT J, WAGNER S J. Statistics of optical intraday variability in a complete sample of radio-selected BL Lac objects[J]. Astronomy and Astrophysics, 1996, 305: 42-52.
[17] 刘凯博, 杨东末, 侯德东, 等. Jurkevich方法在3C 120天体光变周期分析中的应用[J]. 云南师范大学学报 (自然科学版), 2009, 29(5): 1-5, 16.
[18] 李怀珍. Blazar天体的光变及能谱分布的研究[D]. 昆明: 云南大学, 2011.
[19] 苏成悦. 类星体PKS 2251+158的长期光学光变周期分析[J]. 天体物理学报, 2000, 20(1): 11-16.