论文标题
在拉格朗日的制定之后
On distributions law of planetary rotations and revolutions as a function of aphelia, following Lagrange's formulation
论文作者
论文摘要
通过极性运动（PM）和一天的长度（LOD）确定地球旋转。 PM的激发源是与流体循环相关的扭矩（“地球物理激发”），以及luni-solar潮汐的LOD（“天文激发”）。在拉格兰奇（1853）的力学表现之后，我们探讨了行星旋转与革命之间的联系。中央田中运动的能量是动力学，离心（行星依赖性）和中心偏度（所有行星）能量的总和。对于每个行星，都可以计算一个“引力常数” GP。对于巨型行星，GP随着Aphelia的函数而降低。陆地行星没有这种有组织的行为。其他行星的扰动潜力会对流离失所产生小的角度贡献：这恰好与爱因斯坦著名的进攻公式相同。地球的perihelia延迟遵循a（-5/2）的权力法。在拉格朗日形式主义中很容易理解这一点（离心术语接管了很小的距离）。牙龈的行星失去了能量，可能转移到行星旋转。旋转速度的比例遵守a -5/2功率定律。面积速度与集成周期R的比率也适合-5/2功率依赖性，这意味着革命和旋转之间的能量交换线性。对于爱因斯坦（Einstein），太阳的时空变形是场扰动的起源。对于拉格朗日，扰动只能是由于扭矩的相互作用。周围延迟，面积的速度和行星旋转显示了阿菲利亚的功率定律，其行为与动力矩的行为形成对比。地带速度与行星的动力矩线性链接，这必须是实现传递的水平。
Earth rotation is determined by polar motion (PM) and length of day (lod). The excitation sources of PM are torques linked to fluid circulations ("geophysical excitations"), and those of lod to luni-solar tides ("astronomical excitations"). We explore the links between the rotations and revolutions of planets, following Lagrange's (1853) presentation of mechanics. The energy of a planet in motion in a central field is the sum of kinetic, centrifugal (planet dependent) and centripetal (identical for all planets) energies. For each planet, one can calculate a "constant of gravitation" Gp . For the giant planets, Gp decreases as a function of aphelia. There is no such organized behavior for the terrestrial planets. The perturbing potential of other planets generates a small angular contribution to the displacement : this happens to be identical to Einstein's famous formula for precession. Delays in the planet's perihelia follow a (-5/2) power law of a. This is readily understood in the Lagrange formalism (the centrifugal term takes over for small distances). The telluric planets have lost energy, probably transferred to the planets rotations. The ratio of areal velocities to rotation obeys a -5/2 power law of a. The ratio of areal velocity to integrated period R also fits a -5/2 power dependence, implying linearity of the energy exchange between revolution and rotation. For Einstein deformation of space-time by the Sun is the origin of the field perturbation. For Lagrange the perturbation could only be due to the interactions of torques. The perihelion delays, the areal velocities and the planetary rotations display power laws of aphelia, whose behavior contrasts with that of the kinetic moment. The areal velocity being linearly linked to the kinetic moment of planets, this must be the level at which the transfer is achieved.
