In the two-dimensional positioning method of pulsars, the grid method is used to provide non-sensitive direction and positional estimates. However, the grid method has a high computational load and low accuracy due to...In the two-dimensional positioning method of pulsars, the grid method is used to provide non-sensitive direction and positional estimates. However, the grid method has a high computational load and low accuracy due to the interval of the grid. To improve estimation accuracy and reduce the computational load, we propose a fast twodimensional positioning method for the crab pulsar based on multiple optimization algorithms(FTPCO). The FTPCO uses the Levenberg–Marquardt(LM) algorithm, three-point orientation(TPO) method, particle swarm optimization(PSO) and Newton–Raphson-based optimizer(NRBO) to substitute the grid method. First, to avoid the influence of the non-sensitive direction on positioning, we take an orbital error and the distortion of the pulsar profile as optimization objectives and combine the grid method with the LM algorithm or PSO to search for the non-sensitive direction. Then, on the sensitive plane perpendicular to the non-sensitive direction, the TPO method is proposed to fast search the sensitive direction and sub-sensitive direction. Finally, the NRBO is employed on the sensitive and sub-sensitive directions to achieve two-dimensional positioning of the Crab pulsar. The simulation results show that the computational load of the FTPCO is reduced by 89.4% and the positioning accuracy of the FTPCO is improved by approximately 38% compared with the grid method. The FTPCO has the advantage of high real-time accuracy and does not fall into the local optimum.展开更多
The Crab Pulsar was observed at 1540MHz with the 25m radio telescope at Urumqi with a filterbank de-dispersion backend. A total of 2436 giant pulses with pulse energies larger than 4300 Jy μs were detected in two obs...The Crab Pulsar was observed at 1540MHz with the 25m radio telescope at Urumqi with a filterbank de-dispersion backend. A total of 2436 giant pulses with pulse energies larger than 4300 Jy μs were detected in two observing sets. All of these giant pulses are located in the main pulse （MP） and inter pulse （IP） windows of the average profile of the Crab Pulsar. The ratio of the numbers of giant pulses detected in the IP and MP windows is about 0.05. Our results show that, at 1540MHz, the emission in the IP is contributed by giant and normal pulses, while that in the MP is almost dominated by giant pulses. The distribution of energy of the 2436 giant pulses at 1540 MHz can be described by a power-law with index α = 3.13 ± 0.09. The intrinsic threshold of giant pulse energy in the MP window is about 1400Jy μs at 1540MHz.展开更多
We present an X-ray timing analysis of the Crab pulsar, PSR B0531＋21, using archival RXTE data. We have investigated the stability of the Crab pulse profile, in soft （2-20keV） and hard （30-100 keV） X-ray energies...We present an X-ray timing analysis of the Crab pulsar, PSR B0531＋21, using archival RXTE data. We have investigated the stability of the Crab pulse profile, in soft （2-20keV） and hard （30-100 keV） X-ray energies, over the last decade of RXTE operation. The analysis includes measurement of the separation between the two pulse peaks and the intensity and widths of the two peaks. We did not find any significant time dependency in the pulse shape. The two peaks have been stable in phase, intensity and width for the last ten years. The first pulse is relatively stronger at soft X-rays. The first pulse peak is narrower than the second peak in both soft and hard X-ray energies. Both the peaks show a slow rise and a steeper fall. The ratio of the pulsed photons in the two peaks is also constant in time.展开更多
Motivated by the Fermi observations of some γ-ray pulsars in which the phases of radio and γ-ray peaks are almost the same, we investigate the outer gap model in a retarded dipole with a current-induced magnetic fie...Motivated by the Fermi observations of some γ-ray pulsars in which the phases of radio and γ-ray peaks are almost the same, we investigate the outer gap model in a retarded dipole with a current-induced magnetic field and apply it to explain pulsed γ-ray properties of the Crab pulsar. Our results show that the observed γ-ray energy-dependent light curves, which almost align with the radio light curve and phase averaged spectrum for the Crab pulsar, are reproduced well.展开更多
对于脉冲星试验01星的两年实测数据,针对蟹状星云脉冲星星历经历了多次更新的特点,提出了更新标准脉冲轮廓进行X射线计时的改进方法。以一系列观测时长为实测数据分组,再采用改进后的方法进行计时分析并与改进前的结果进行对比。通过对...对于脉冲星试验01星的两年实测数据,针对蟹状星云脉冲星星历经历了多次更新的特点,提出了更新标准脉冲轮廓进行X射线计时的改进方法。以一系列观测时长为实测数据分组,再采用改进后的方法进行计时分析并与改进前的结果进行对比。通过对比改进前后的计时结果,发现改进方法得到的计时残差的均方根(root mean square, RMS)平均降低了14.2%,定位精度平均提高了14.4%,估计原子钟相对频率偏差的精度平均提高了26.2%,体现了改进方法处理经历多次星历更新的Crab脉冲星观测数据的合理性和优越性。此外,改进方法对脉冲星试验01星两年观测数据的稳定度σ_(z)没有量级上的改进,说明改进方法对Crab脉冲星时间稳定度的影响不大。展开更多
Purpose In order to carry out in-orbit calibration,the hard X-ray modulation telescope satellite(HXMT)has made a number of observations of Crab pulsar.We study the long-term evolution of the X-ray flux of the Crab pul...Purpose In order to carry out in-orbit calibration,the hard X-ray modulation telescope satellite(HXMT)has made a number of observations of Crab pulsar.We study the long-term evolution of the X-ray flux of the Crab pulsar with these observational data.Methods We use nearly four years Crab pulsar’s data obtained by HXMT and the neutron star interior composition of explorer to test whether L_(x)∝L_(sd)^(α) holds for an individual pulsar,where L_(x) is the pulsed X-ray luminosity and Lsd is its spin-down luminosity.We also combine the earlier results obtained with PCA and HEXTE data(Yan et al.in ApJ 865:21,2018)to get the long-term evolution characteristics of the Crab pulsar.Results We find the X-ray flux evolution can be fitted by a linear correlation:L_(x)∝L_(sd)^(1.42±0.18).In soft X-ray energy band(1–10 keV)and hard X-ray energy band(27–250 keV),αdoes not change significantly with either energy or phase.However,this will need to be confirmed in future.For example,the interpulse component of hard X-ray may follow L_(x)∝L_(sd)^(0.96±0.34),which may be different from the correlation of soft X-rays and main pulse component.On the other hand,the hard X-ray flux evolution shows that the performance of high energy X-ray telescope(HE)onboard HXMT,such as effective area,is stable.Conclusion We conclude that the X-ray luminosity of the Crab pulsar closely correlates with its spin-down luminosity.However,the emission mechanism responsible for these phenomena remains not fully understood.展开更多
A theoretical optical spectrum for the Crab pulsar is presented. An inverse Compton scattering mechanism and nonrelativistic analytic solutions of differential cross sections of the Compton scattering in strong magnet...A theoretical optical spectrum for the Crab pulsar is presented. An inverse Compton scattering mechanism and nonrelativistic analytic solutions of differential cross sections of the Compton scattering in strong magnetic field given by Herlod (1979) are used in calculations. This mechanism was suggested in Qiao and others’ previous work. The theoretical curves obtained in this paper can well fit the observed one. This further shows the mechanism to be reasonable.展开更多
基金supported by the National Natural Science Foundation of China (Nos. 61873196 and 62373030)the Innovation Program for Quantum Science and Technology(No. 2021ZD0303400)。
文摘In the two-dimensional positioning method of pulsars, the grid method is used to provide non-sensitive direction and positional estimates. However, the grid method has a high computational load and low accuracy due to the interval of the grid. To improve estimation accuracy and reduce the computational load, we propose a fast twodimensional positioning method for the crab pulsar based on multiple optimization algorithms(FTPCO). The FTPCO uses the Levenberg–Marquardt(LM) algorithm, three-point orientation(TPO) method, particle swarm optimization(PSO) and Newton–Raphson-based optimizer(NRBO) to substitute the grid method. First, to avoid the influence of the non-sensitive direction on positioning, we take an orbital error and the distortion of the pulsar profile as optimization objectives and combine the grid method with the LM algorithm or PSO to search for the non-sensitive direction. Then, on the sensitive plane perpendicular to the non-sensitive direction, the TPO method is proposed to fast search the sensitive direction and sub-sensitive direction. Finally, the NRBO is employed on the sensitive and sub-sensitive directions to achieve two-dimensional positioning of the Crab pulsar. The simulation results show that the computational load of the FTPCO is reduced by 89.4% and the positioning accuracy of the FTPCO is improved by approximately 38% compared with the grid method. The FTPCO has the advantage of high real-time accuracy and does not fall into the local optimum.
文摘The Crab Pulsar was observed at 1540MHz with the 25m radio telescope at Urumqi with a filterbank de-dispersion backend. A total of 2436 giant pulses with pulse energies larger than 4300 Jy μs were detected in two observing sets. All of these giant pulses are located in the main pulse （MP） and inter pulse （IP） windows of the average profile of the Crab Pulsar. The ratio of the numbers of giant pulses detected in the IP and MP windows is about 0.05. Our results show that, at 1540MHz, the emission in the IP is contributed by giant and normal pulses, while that in the MP is almost dominated by giant pulses. The distribution of energy of the 2436 giant pulses at 1540 MHz can be described by a power-law with index α = 3.13 ± 0.09. The intrinsic threshold of giant pulse energy in the MP window is about 1400Jy μs at 1540MHz.
文摘We present an X-ray timing analysis of the Crab pulsar, PSR B0531＋21, using archival RXTE data. We have investigated the stability of the Crab pulse profile, in soft （2-20keV） and hard （30-100 keV） X-ray energies, over the last decade of RXTE operation. The analysis includes measurement of the separation between the two pulse peaks and the intensity and widths of the two peaks. We did not find any significant time dependency in the pulse shape. The two peaks have been stable in phase, intensity and width for the last ten years. The first pulse is relatively stronger at soft X-rays. The first pulse peak is narrower than the second peak in both soft and hard X-ray energies. Both the peaks show a slow rise and a steeper fall. The ratio of the pulsed photons in the two peaks is also constant in time.
基金partially supported by the National Natural Science Foundation of China(Grant Nos.11173020 and 11433004)the Top Talents Program of Yunnan Province
文摘Motivated by the Fermi observations of some γ-ray pulsars in which the phases of radio and γ-ray peaks are almost the same, we investigate the outer gap model in a retarded dipole with a current-induced magnetic field and apply it to explain pulsed γ-ray properties of the Crab pulsar. Our results show that the observed γ-ray energy-dependent light curves, which almost align with the radio light curve and phase averaged spectrum for the Crab pulsar, are reproduced well.
文摘对于脉冲星试验01星的两年实测数据,针对蟹状星云脉冲星星历经历了多次更新的特点,提出了更新标准脉冲轮廓进行X射线计时的改进方法。以一系列观测时长为实测数据分组,再采用改进后的方法进行计时分析并与改进前的结果进行对比。通过对比改进前后的计时结果,发现改进方法得到的计时残差的均方根(root mean square, RMS)平均降低了14.2%,定位精度平均提高了14.4%,估计原子钟相对频率偏差的精度平均提高了26.2%,体现了改进方法处理经历多次星历更新的Crab脉冲星观测数据的合理性和优越性。此外,改进方法对脉冲星试验01星两年观测数据的稳定度σ_(z)没有量级上的改进,说明改进方法对Crab脉冲星时间稳定度的影响不大。
文摘通过对比NICER(Neutron Star Interior Composition Explorer)和XPNAV-1(X-ray Pulsar Navigation-1)关于Crab脉冲星同一时段(108天)观测数据的计时处理结果,发现在周期跃变发生前的时段(95天),NICER数据的拟合前计时残差的RMS(root mean square)为5.77μs,远优于XPNAV-1数据的拟合前计时残差的RMS 51.56μs,体现了NICER在有效面积、探测效率、数据采集等方面的优势,给未来我国的X射线脉冲星探测器研制提供了发展方向;而在周期跃变发生后的时段(13天),发现XPNAV-1数据的拟合前计时残差的RMS为55.87μs,而NICER数据的拟合前计时残差的RMS为167.27μs,周期跃变对NICER的影响更大,说明在处理周期跃变发生后时段的NICER数据时,由于NICER的观测精度非常高,需要更频繁地更新Crab星历。最后分别得到了两个探测器整段数据的计时残差。XPNAV-1数据的拟合前计时残差的RMS为55.94μs,而NICER数据的拟合前计时残差的RMS为64.34μs,这说明NICER数据受周期跃变影响更为明显,进一步证明了上述结论。
基金support from the National Program on Key Research and Development Project(Grant No.2021YFA0718500)from the Minister of Science and Technology of China(MOST)supports from the National Natural Science Foundation of China under Grants U1938102,12273043,U1838201,U1838202,U1938109 and U1938108supported by International Partnership Program of Chinese Academy of Sciences(Grant No.113111KYSB20190020).
文摘Purpose In order to carry out in-orbit calibration,the hard X-ray modulation telescope satellite(HXMT)has made a number of observations of Crab pulsar.We study the long-term evolution of the X-ray flux of the Crab pulsar with these observational data.Methods We use nearly four years Crab pulsar’s data obtained by HXMT and the neutron star interior composition of explorer to test whether L_(x)∝L_(sd)^(α) holds for an individual pulsar,where L_(x) is the pulsed X-ray luminosity and Lsd is its spin-down luminosity.We also combine the earlier results obtained with PCA and HEXTE data(Yan et al.in ApJ 865:21,2018)to get the long-term evolution characteristics of the Crab pulsar.Results We find the X-ray flux evolution can be fitted by a linear correlation:L_(x)∝L_(sd)^(1.42±0.18).In soft X-ray energy band(1–10 keV)and hard X-ray energy band(27–250 keV),αdoes not change significantly with either energy or phase.However,this will need to be confirmed in future.For example,the interpulse component of hard X-ray may follow L_(x)∝L_(sd)^(0.96±0.34),which may be different from the correlation of soft X-rays and main pulse component.On the other hand,the hard X-ray flux evolution shows that the performance of high energy X-ray telescope(HE)onboard HXMT,such as effective area,is stable.Conclusion We conclude that the X-ray luminosity of the Crab pulsar closely correlates with its spin-down luminosity.However,the emission mechanism responsible for these phenomena remains not fully understood.
基金Project supported by the National Natural Science Foudation of China.
文摘A theoretical optical spectrum for the Crab pulsar is presented. An inverse Compton scattering mechanism and nonrelativistic analytic solutions of differential cross sections of the Compton scattering in strong magnetic field given by Herlod (1979) are used in calculations. This mechanism was suggested in Qiao and others’ previous work. The theoretical curves obtained in this paper can well fit the observed one. This further shows the mechanism to be reasonable.
