Possibility of Detecting Moons of Pulsar Planets through Time-of-Arrival Analysis
Possibility of Detecting Moons of Pulsar Planets through Time-of-Arrival Analysis
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DOI：
10.1086/592743
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发表时间：
2008-05
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通讯作者：
K. Lewis;P. Sackett;Rosemary A. Mardling School of Mathematical Sciences-Rosemary-A.-Mardling-School-of-Mathematical-102399213;Monash University;R. S. O. Astronomy;Astrophysics
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作者：
K. Lewis;P. Sackett;Rosemary A. Mardling School of Mathematical Sciences-Rosemary-A.-Mardling-School-of-Mathematical-102399213;Monash University;R. S. O. Astronomy;Astrophysics
在月球轨道和星-月质心均为圆轨道且共面的情况下，导出了星-月双星对脉冲星带行星到达时间信号的扰动。信号由两个频率为（2np − 3 nb）和（2np − nb）的正弦波组成，其中np和nb分别是行星和月球绕其重心的平均运动，以及行星-月球系统绕宿主的平均运动。信号的振幅是系统穿越时间R/c的分数sin I [ 9（MpMm）/16（Mp + Mm）2][r/R]5，其中Mp和Mm是行星和月球的质量，r是它们的轨道间隔，R是主脉冲星和行星-月球重心之间的距离，I是行星轨道平面的倾角，c是光速。分析的情况下，PSR B1620- 26 b，脉冲星行星，以限制轨道分离和质量的任何可能的卫星。我们发现，如果一颗稳定的卫星的质量大于其行星质量的5%，并且行星-卫星距离为行星-脉冲星间距的2%，则可以探测到围绕这颗脉冲星行星运行的卫星。
The perturbation caused by planet-moon binarity on the time-of-arrival signal of a pulsar with an orbiting planet is derived for the case in which the orbits of the moon and the planet-moon barycenter are both circular and coplanar. The signal consists of two sinusoids with frequency (2np − 3nb) and (2np − nb), where np and nb are the mean motions of the planet and moon around their barycenter, and the planet-moon system around the host, respectively. The amplitude of the signal is the fraction sin I [ 9(MpMm)/16(Mp + Mm)2][r/R]5 of the system crossing time R/c, where Mp and Mm are the masses of the planet and moon, r is their orbital separation, R is the distance between the host pulsar and planet-moon barycenter, I is the inclination of the orbital plane of the planet, and c is the speed of light. The analysis is applied to the case of PSR B1620–26b, a pulsar planet, to constrain the orbital separation and mass of any possible moons. We find that a stable moon orbiting this pulsar planet could be detected, if its mass were >5% of its planet’s mass, and if the planet-moon distance were ~2% of the planet-pulsar separation.