标题： 银河系中行星状星云的动力学：第三积分的证据 显示英文标题

标题： The dynamics of planetary nebulae in the Galaxy: evidence for a third integral

摘要： 我们对673个银河系行星状星云进行了动力学分析，使用了具有Kuzmin-Kutuzov Stäckel势的双积分轴对称模型。 该方法通过二次规划拟合了速度矩的投影分布函数。 在修正了星际消光后，使用了2.2 $\mu$米COBE亮度图作为投影恒星计数图进行建模，因为它构成了演化红种群的银河系分布视图，这些红种群被认为是行星状星云的前身。 我们得到的模型为COBE 2.2 $\mu$米地图提供了双积分分布函数，因此还有 {\it 更有说服力地}的去投影，这还允许识别所有主要的银河系成分。 我们得出了它们的密度定律。 然而，投影速度弥散度拟合得不好，特别是在盘状结构中，这表明可能存在第三个积分。 如果这个结果能通过额外数据得到证实，这意味着首次在整体尺度上证明了第三个积分的存在和重要性。 显示英文摘要

摘要： We present a dynamical analysis of 673 galactic Planetary Nebulae, using a two-integral axisymmetric model with a Kuzmin-Kutuzov St\"{a}ckel potential. The method fits the kinematics to the projected moments of a distribution function, by means of Quadratic Programming. The 2.2 $\mu$m COBE brightness map has been used after correction for the interstellar extinction as a projected star counts map in the modeling, because it constitutes a galactic distribution view of evolved red populations which are considered to be the progenitors of PNe. The model we have obtained provides a 2-integral distribution function for the COBE 2.2 $\mu$m map, and thus {\it a fortiori} a deprojection of it, which allows moreover the identification of all the major Galactic components. We derive the density laws for them. The projected velocity dispersions are not well fitted though, especially in the disk, which points at the likely presence of a third integral. If this result can be confirmed by additional data, this would mean that for the first time the presence and importance of a third integral on a global scale is demonstrated.