We present a study of the Earth's rotational motion in terms of the Earth Orientation Parameters (EOP) of the new paradigm that is recommended by the IAU 2000 resolutions to transform between the celestial and terrestrial reference systems. This paper presents the first part of the study whose purpose is to establish the dynamical equations of the rotation of a rigid Earth as a function of these new parameters. Starting from Euler dynamical equations for a rigid Earth, and using expressions for the components of the instantaneous rotation vector as functions of the celestial coordinates X, Y of the Celestial intermediate pole (CIP) and of the Earth rotation angle (ERA), the equations of Earth rotation were obtained explicitly in terms of those parameters. Taking into account the order of magnitude of the terms of these equations, we obtain the most appropriate form of the equations for a practical integration. We then investigated the possible methods of integration for providing semi-analytical solutions for the X and Y variables in the axially symmetric case. We also perform a number of tests regarding the efficiency of these methods, based on the IAU 2000 precession-nutation. We extended this approach to a deformable Earth, based on integration constants compliant with the new P03 precession model.\ud
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机译：我们根据IAU 2000决议建议在天体参考系统和地面参考系统之间转换的新范例的地球方向参数（EOP）来研究地球的旋转运动。本文介绍了研究的第一部分，其目的是建立刚性地球自转作为这些新参数的函数的动力学方程。从刚性地球的欧拉动力学方程开始，并使用瞬时旋转矢量分量的表达式作为天体中间极点（CIP）的天体坐标X，Y和地球旋转角（ERA）的函数，根据这些参数明确获得了地球自转的坐标。考虑到这些方程式项的数量级，我们获得了最适合实际集成的方程式形式。然后，我们研究了在轴对称情况下为X和Y变量提供半解析解的可能的积分方法。我们还根据IAU 2000进动标记对这些方法的效率进行了许多测试。基于与新P03进动模型兼容的积分常数，我们将此方法扩展到了可变形的地球。\ ud
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