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arXiv 1808.02508astro-ph.SR
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小偏心双星近星点推进效应的探讨

Exploring the Effect of Periastron Advance in Small-Eccentricity Binary Pulsars

Abhimanyu Susobhanan, Achamveedu Gopakumar, Bhal Chandra Joshi, Ranjan Kumar

摘要:

短轨道周期的小偏心率双星,原则上可以经历近星点的大幅推进。我们探讨测量这种效果的可能性,通过实施一个定时模型,ELL 1 k,在流行的TEMPO 2脉冲星定时包。在我们的ELL 1 k模型中,拉普拉斯-拉格朗日参数的真实长期变化可以导致可测量的定时残差,同时使用Lange等人(2001)的现有ELL 1定时模型进行长达十年的定时活动,特别是对于表现出显着的近星点推进的双星。我们还列出了我们的方法与TEMPO和TEMPO 2包中的ELL 1模型的各种实现之间的主要区别。详细的TEMPO 2模拟表明,在某些观测到的具有微小偏心率的双星中,如PSR J1719-1438,可能会限制脉冲星同伴的拱点运动常数。幸运的是,ELL 1 k计时模型不会对正在进行的脉冲星计时阵列活动构成任何挑战,这些活动通常采用ELL 1计时模型。详细的TEMPO 2模拟表明,在某些观测到的具有微小偏心率的双星中,如PSR J1719-1438,可能会限制脉冲星同伴的拱点运动常数。幸运的是,ELL 1 k计时模型不会对正在进行的脉冲星计时阵列活动构成任何挑战,这些活动通常采用ELL 1计时模型。

英文摘要:

Short-orbital period small-eccentricity binary pulsars can, in principle, experience substantial advance of periastron. We explore the possibility of measuring this effect by implementing a timing model, ELL1k, in the popular TEMPO2 pulsar timing package. True secular variations in the Laplace-Lagrange parameters, present in our ELL1k model, can lead to measurable timing residuals while pursuing decade-long timing campaigns using the existing ELL1 timing model of Lange et al. (2001), especially for binaries exhibiting significant periastron advance. We also list the main differences between our approach and various implementations of the ELL1 model present in both TEMPO and TEMPO2 packages. Detailed TEMPO2 simulations suggest the possibility of constraining the apsidal motion constant of pulsar companions in certain observed binary pulsars with minuscule eccentricities such as PSR J1719-1438. Fortunately, the ELL1k timing model does not pose any challenges to the on-going Pulsar Timing Array campaigns that routinely employ the ELL1 timing model. Detailed TEMPO2 simulations suggest the possibility of constraining the apsidal motion constant of pulsar companions in certain observed binary pulsars with minuscule eccentricities such as PSR J1719-1438. Fortunately, the ELL1k timing model does not pose any challenges to the on-going Pulsar Timing Array campaigns that routinely employ the ELL1 timing model.

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