首页> 外文会议>Third Meeting on Celestical Mechanics - CELMEC III Jun 18-22, 2001 Rome, Italy >GENERALIZED AVERAGING PRINCIPLE AND THE SECULAR EVOLUTION OF PLANET CROSSING ORBITS
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GENERALIZED AVERAGING PRINCIPLE AND THE SECULAR EVOLUTION OF PLANET CROSSING ORBITS

机译:广义平均原则和行星穿越轨道的平稳演化

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摘要

Planet crossing orbits give rise to mathematical singularities that make it not possible to apply the classical averaging principle to study the qualitative evolution of Near Earth Asteroids (NEAs). Recently this principle has been generalized to deal with crossings in a mathematical model with the planets on circular coplanar orbits. More accuracy is needed to compute the averaged evolution of planet crossing orbits for different purposes: computing reliable crossing times for the averaged motion, writing more precise proper elements and frequencies for NEAs, etc. In this paper we present the generalization of the averaging principle using a model where the eccentricity and the inclination of the planets are taken into account.
机译:行星交叉轨道引起数学上的奇异,这使得不可能应用经典的平均原理来研究近地小行星(NEA)的质变。近来,该原理已被普遍化以处理数学模型中的行星在圆形共面轨道上的穿越。为不同目的计算行星交叉轨道的平均演化需要更高的精度:计算平均运动的可靠穿越时间,为NEA编写更精确的适当元素和频率等。在本文中,我们使用考虑到行星的偏心率和倾斜度的模型。

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