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arXiv 0805.4263astro-ph
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利用到达时间分析探测脉冲星卫星的可能性

Possibility of Detecting Moons of Pulsar Planets Through Time-of-Arrival Analysis

Karen M. Lewis, Penny D. Sackett, Rosemary A. Mardling

摘要:

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。该信号由两个频率为(2n_p - 3n_b)和(2n_p-n_b)的正弦波组成,其中n_p和n_b分别为行星和月球绕其质心的平均运动以及行星-月球系统绕宿主的平均运动。信号的幅度等于分数sin I[9(M_p M_m)/16(M_p + M_m)^2] [r/R]^5,其中M_p和M_m是行星和月球的质量,r是它们的轨道间距,R是主脉冲星与行星-月球质心之间的距离,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,以限制任何可能的卫星的轨道分离和质量。我们发现,一个稳定的卫星围绕这颗脉冲星行星可以检测到,如果月球有一个约五十分之一的行星围绕脉冲星的轨道,和一个质量比约5%或更大的行星。

英文摘要:

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 (2n_p - 3n_b) and (2n_p - n_b ), where n_p and n_b 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 equal to the fraction sin I[9(M_p M_m)/16(M_p + M_m)^2] [r/R]^5 of the system crossing time R/c, where M_p and M_m are the 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 B1620-26 b, 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 the moon had a separation of about one fiftieth of that of the orbit of the planet around the pulsar, and a mass ratio to the planet of ~5% or larger.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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