Co-Orbital Motion with Slowly Varying Parameters

We consider the dynamics of a test particle co-orbital with a satellite of mass m _s which revolves around a planet of mass M ₀ m _s with a mean motion n _s and semi-major axis a _s. We study the long term evolution of the particle motion under slow variations of (1) the mass of the primary, M ₀, (2) the mass of the satellite, m _s and (3) the specific angular momentum of the satellite J _s. The particle is not restricted to small harmonic oscillations near L ₄ or L ₅, and may have any libration amplitude on tadpole or horseshoe orbits. In a first step, no torque is applied to the particle, so that its motion is described by a Hamiltonian with slowly varying parameters. We show that the torque applied to the satellite, as measured by _s = j_s/(n _s J _s) induces an distortion of the phase space which is entirely described by an asymmetry coefficient = _s/, where = m _s/M. The adiabatic invariance of action implies furthermore that the long term evolution of the particle co-orbital motion depends only on the variation of m _s a _s with time. Applying a constant torque to the particle, as measured by _s = j_s/(n _s J _p) is then merely equivalent to replacing = _s/ by = (_s – _p)/. However, if the torque acting on the particle exhibits a radial gradient, then the action is no more conserved and the evolution of the particle orbit is no more controlled by m _s a _s only. We show that even mild torque gradients can dominate the orbital evolution of the particle, and eventually decide whether the latter will be pulled towards the stable equilibrium points L ₄ or L ₅, or driven away from them. Finally, we show that when the co-orbital bodies are two satellites with comparable masses m ₁ and m ₂, we can reduce the problem to that of a test particle co-orbital with a satellite of mass m ₁ + m ₂. This new problem has then parameters varying at rates which are combinations, with appropriate coefficients, of the changes suffered by each satellite.     

基于应力偏量的横波纯应力逆时偏移成像方法

基于弹性波解耦延拓方程的波场分离方法不仅可以得到解耦的纵、横波质点振动速度场,还可以获得纵、横波应力场.针对横波纯应力场在利用单一分量成像时不具有明确物理意义的问题,本文将应力偏张量引入到横波应力场中,基于应力偏量第二不变量构建得到横波应力不变量并将其用于应力场的逆时偏移成像中,获得了可完整表征横波应力场的成像结果.模型试算表明,本文构建的横波应力不变量可以有效利用横波应力张量中的波场信息,并得到准确的弹性逆时偏移成像结果.     

On linking coefficient of two Keplerian orbits

We define a function of the set of pairs of Keplerian ellipses so that the sign of the function will be a topological invariant of their configuration. The sign is negative if and only if the related ellipses are linked. Two modifications of the coefficient which are more reliable in the case of closed to coplanar orbits are proposed. Explicit formulae representing the linking coefficients as functions of orbital elements are deduced. Extension in the case of unbounded orbits is obtained. We suggest different ways to use these coefficients for determining intersections of pairs of osculating Keplerian orbits. If we study dynamical behaviour of geometric configuration of pairs of Keplerian orbits, we can fix the moments of their intersections. These moments correspond exactly to the vanishing of linking coefficients. This revised version was published online in July 2006 with corrections to the Cover Date.     

非开挖施工建模的现状和前景

讨论了非开挖施工主要级别的建模：微隧顶管、HDD和夯管锤，并通过微隧顶管建模的过程说明定位于稳定性与鲁棒性理论、多体动力学理论的必然趋向，以及建模工作将会成为非开挖产业文化的一部分，将推动非开挖产业的发展，并由高端基础研发达到市场份额占有的目的。     

不变量方法

不变量方法是一种数字技术,该方法对给定长度有限的时间序列,可以构造出一个常微分方程组。该方程组的解在有限时段上的采样值与给定序列重合。观测研究是对无法确定其方程的动力系统进行的研究;不变量方法提出了动力数值试验的可能性。     

大气辐射校正方法分析

阐述遥感影像的大气辐射校正的原因及目的,并以徐州地区的CBERS-02星影像数据为基础,应用软件MATLAB7.0,分析大气辐射校正的三种方法,即利用辐射传输方程求解的方法、基于地面场地数据或辅助数据进行辐射校正方法及利用波段特性进行大气辐射校正方法。其中,重点剖析利用波段特性进行大气辐射校正的方法。     

具有跳跃项的Duffing方程的拟周期解

本文研究了一类具有非对称项和有界扰动项的Duffing方程。当扰动项是拟周期函数时,利用典则变换和光滑拟周期扭转映射的不变曲线定理,证明了方程任意解的有界性和拟周期解的存在性。     

DMSP/OLS和VIIRS/DNB夜间灯光影像的校正及拟合

运用不变目标法对DMSP/OLS影像数据进行了相互校正、连续性校正和过饱和校正,以校正后的DMSP/OLS数据为参考对VⅡRS/DNB数据进行了重分类,利用两者影像数据在时间与空间中的重叠区域拟合VⅡRS/DNB数据,并对结果进行了评价,目的是获得长时间序列连续稳定的夜间灯光数据。同时建立了新疆区域校正后影像数据与社会经济指标中年末人口总数、生产总值、平均每天耗电量、建设用地之间的关系,探讨了夜间灯光数据在长时间序列下模拟社会经济参量的能力。结果表明,运用不变目标法校正后的夜间灯光影像更稳定、更连续,缩小了VⅡRS/DNB数据与DMSP/OLS数据像元DN值量级差异,使长时间序列下的灯光数据具有可比性。校正后长时间序列夜间灯光数据与社会经济参量的相关性高,说明校正后的长时间序列灯光影像数据在省级尺度上与社会经济指标契合。     

Rundle模式地震释放的能量及其标度关系

本文扼要介绍了有关Ｒｕｎｄｌｅ模式地震分叉结构及其爆发判据的主要研究结果。在此基础上推导出强地震过程释放的能量及其标度关系。本系列的研究工作,对地震预报研究有参考价值。