The integrable cases of the planetary three-body problem at first-order resonance

This paper investigates the stability of the motion in the averaged planar general three-body problem in the case of first-order resonance. The equations of the averaged motion of bodies near the resonance surface is obtained and is analytically integrated by quadratures. The stability of the averaged motion is analytically investigated in relation to the semi-major axes, the eccentricities and the resonance phases. An autonomous second-order equation is obtained for the deviation of semiaxes from the resonance surface. This equation has an energy integral and is analytically integrated by quadratures. The quasi-periodic dependence on time with two-frequency basis of the averaged motion of bodies is found. The basic frequencies are analytically calculated. With the help of the mean functionals calculated along integral curves of the averaged problem the new analytic first integrals are constructed with coefficients periodic in time. The analytic conditions of librations of resonance phases are obtained.     

Mapping models for near-conservative systems with applications

A systematic method is presented to construct a mapping model for a near-conservative system, based on that of Hadjidemetriou for a Hamiltonian system [1]. The mapping we constructed preserves the basic features of the actual system. We apply this method to the forced oscillating system and to the 3 : 1 resonant grain motion in the presence of Poynting-Robertson drag.Supported by the National Natural Science Foundation of China.     

Forced secondary resonances at the 3 : 1 commensurability

For the 3 : 1 Jovian resonance problem, the time scales of the two degrees of freedom of the resonant Hamiltonian are well-separated [5]. With the adiabatic approximation, the solution for the fast oscillations can be found in terms of the slowly varying variables. Thus the rapidly oscillating terms in the slow oscillation equations can be treated as forced terms. We refer to the resonance between the forcing and intrinsic frequencies as a forced secondary one in this paper. We discuss the forced secondary resonances in asteroidal motion at the 3 : 1 commensurability by using Wisdom's method. The results show that the orbits situated originally near the resonance will leave the neighbourhood of resonance and tend to the separatrices and critical points for different energies, respectively. We have not found any stochastic web as expected in this case. Moreover, we study the problem of validity on the approximation of a system.The Project Supported by the National Natural Science Foundation of China.     

Surfaces of section in the Miranda-Umbriel 3:1 inclination problem

The recent numerical simulations of Tittemore and Wisdom (1988, 1989, 1990) and Dermottet al. (1988), Malhotra and Dermott (1990) concerning the tidal evolution through resonances of some pairs of Uranian satellites have revealed interesting dynamical phenomena related to the interactions between close-by resonances. These interactions produce chaotic layers and strong secondary resonances. The slow evolution of the satellite orbits in this dynamical landscape is responsible for temporary capture into resonance, enhancement of eccentricity or inclination and subsequent escape from resonance. The present contribution aims at developing analytical tools for predicting the location and size of chaotic layers and secondary resonances. The problem of the 3:1 inclination resonance between Miranda and Umbriel is analysed.     

Novel Analysis of Tadpole and Horseshoe Orbits

A simple analysis of tadpole and horseshoe orbits is performed using a new perturbation technique. The first-order results are presented explicitely, extension to any perturbation order is delineated. This revised version was published online in July 2006 with corrections to the Cover Date.     

淮南煤田次生生物成因气的比例及资源意义

主要利用实验的方法,并结合计算,对淮南煤田各研究矿区次生生物成因和热成因混合煤层气的比例进行了对比估算。结果显示:两种方法估算的研究区煤层气的混合比例较为一致。淮南煤田混合煤层气中次生生物成因气所占比例较大,最高达到了79%,最低的也占到了43%。同时,国内外的研究也表明,煤层中后期次生生物气的生成可明显提高煤储层的含气量。因此,淮南煤田中后期次生生物气的生成对矿区煤层气资源的贡献重大。     

中国铝物质流历史变化分析和再生铝资源利用研究

本文采用物质流分析(Material Flow Analysis, MFA)的方法, 构建了铝全生命周期动态物质流分析框架, 自上而下的追踪了1949—2021年中国铝的流量、存量和供需情况。结果表明: 1)1949—2021年中国铝土矿铝物质累计流入量5.86亿t, 国内开采与进口各占一半左右。实际铝物质累计消费量3.74亿t。生命周期内铝损失严重, 铝物质损失量2.39亿t。2)2021年人均铝物质社会存量208.9 kg/人, 与同经济发展时期的北美、日本基本一致。3)1990年以来中国再生铝产量快速增长, 累计0.77亿t, 以国内生产为主, 占比76.7%。随着含铝产品到达寿命及未来铝需求量的持续走高, 将迎来含铝产品的报废时代。建议从全生命周期的角度出发, 减少铝在各个环节的损失量; 合理布局再生铝产业, 提高再生铝的利用, 优化铝供应结构, 促进铝工业低碳转型, 支撑“双碳”目标的实现。     

渤海湾盆地黄骅坳陷石炭系—二叠系烃源岩生烃演化及与中—新生代构造演化的响应关系

渤海湾盆地石炭系—二叠系为烃源岩的古生界潜山内幕型原生油气藏认识程度低,勘探难度大,明确石炭系—二叠系烃源岩生烃演化过程及与中—新生代构造演化的响应关系对内幕型原生油气藏勘探具有重要意义。笔者等基于三维地震资料、典型井实测镜质体反射率、流体包裹体等数据资料,进一步采用构造解析、潜山埋藏史分析以及盆地生烃模拟等技术手段,探讨了渤海湾盆地黄骅坳陷中—新生代构造运动及对石炭系—二叠系烃源岩生烃演化的控制作用,明确了生烃时期及有利生烃范围。研究表明,黄骅坳陷中—新生代构造活动经历了“两期裂陷,两期抬升”的四个演化阶段,形成多种类型的埋藏史,构造运动引起的古地温变化使南北地区烃源岩进行差异了生烃演化,裂陷建造作用促进地温上升,有利于有机质生烃,挤压改造作用抑制地温上升,有机质生烃中止。乌马营潜山及歧北潜山具有3次生烃阶段,生烃期为早—中三叠纪、早白垩纪、古近纪,港北潜山具有两次生烃阶段,生烃期为早—中三叠纪、古近纪。黄骅坳陷内早期(即早—中三叠纪)生烃范围局限,晚期(即古近纪)生烃最有利,乌马营地区及歧北地区为原生油气藏有利勘探区。     

Anatomical Study of Cretaceous, Permineralized, Bennettitalean Fossils from Heilongjiang Province, NE China

Well-preserved Cretaceous trunk fragments of Cycadeoidea (Cycadeoidaceae) were recently found in Keshan County, Heilongjiang Province, Northeast China. These fossils represent important evidence of the distribution of this group of plants in East Asia. In these trunk fragments, the stem cortices and leaf bases with cones are preserved. The leaf bases are rhombic with cones infrequently distributed among leaf bases. The cortex is broad and consists of fundamental parenchyma cells, numerous secretory ducts and C-shaped leaf traces with adaxial secondary xylem and abaxial secondary phloem. The genus Cycadeoidea, which is widely distributed in the Cretaceous deposits of East Asia, North America and Western Europe, was an important component of Cretaceous floras. Bennettitalean trunk fossils with well-preserved anatomical structures are rarely known from China. These fossils are important for studies of the evolution of genus Cycadeoidea and for stratigraphic correlation.     

Revisiting natural and laboratory electron spin resonance (ESR) dose response curves of quartz from Chinese loess

Natural and laboratory ESR dose response curves (DRCs) of [AlO₄/h]⁰ and [TiO₄/M⁺]⁰ were investigated for samples of quartz from the Luochuan loess-palaeosol master section, Chinese Loess Plateau. The natural and laboratory DRCs show a clear divergence above ∼1000 Gy, with much lower D₀ values and saturation levels observed for the natural DRCs, which is in agreement with the previous study by Tsukamoto et al. (2018). Young (<15 ka) samples from Luochuan and Jingbian – another site of the Chinese Loess Plateau, together with two modern samples of Chinese loess, were used to investigate the residual signals of [AlO₄/h]⁰ and [TiO₄/M⁺]⁰ centres. Our results are in line with published studies and show that the significant residual signals corresponding to several tens to hundreds of Gy are present in both Al and Ti centres. These need to be taken into account before laboratory DRC construction. ESR pulse annealing experiments performed on samples irradiated with different doses show an apparent dose-dependent thermal instability of [AlO₄/h]⁰ and [TiO₄/M⁺]⁰, with the signals for higher doses decaying faster with increasing temperature. We attribute the change in D₀ with preheat reported in Tsukamoto et al.2018, as well as the difference between laboratory and natural DRCs, to this apparent dose-dependent thermal instability of the signals. The saturation level of the natural DRC, being the result of reaching the equilibrium between filling of the traps and emptying them due to thermal decay, is therefore additionally affected at higher doses, due to the increased thermal instability. The inability to recreate in the laboratory the same response to irradiation as the one observed in nature questions the accuracy of dating samples beyond ∼1000 Gy.