The observed values of the time-derivatives of the spin or orbital frequency of pulsars are affected by their dynamical properties. We derive thorough analytical expressions for such dynamical contributions in terms of the Galactic coordinates, the proper motion, the pulsar distance and the radial velocity. We see that although for most of the cases, the effects of the dynamical terms in the second-derivative of frequencies or parameters that depend on such second derivatives, e.g., braking index, are negligible, there might be unique pulsars for which the effects of the dynamical terms would be large enough. We emphasize the fact that our expressions provide more accurate results than pre-existing approximate ones that exclude some of the terms.

中文翻译：

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在观测到的脉冲星自旋或轨道频率的二阶时间导数中的动力学效应研究

脉冲星自旋或轨道频率的时间导数的观测值受其动力学特性的影响。我们从银河坐标、自身运动、脉冲星距离和径向速度方面推导出了这种动力学贡献的全面解析表达式。我们看到，虽然在大多数情况下，依赖于这种二阶导数的频率或参数的二阶导数中的动力学项的影响可以忽略不计，但可能存在独特的脉冲星，其影响动态项将足够大。我们强调这样一个事实，即我们的表达式提供了比排除某些术语的预先存在的近似结果更准确的结果。