A note concerning the 2:1 and the 3:2 resonances in the asteroid belt

The dynamical behavior of asteroids inside the 2:1 and 3:2 commensurabilities with Jupiter presents a challenge. Indeed most of the studies, either analytical or numerical, point out that the two resonances have a very similar dynamical behavior. In spite of that, the 3:2 resonance, a little outside the main belt, hosts a family of asteroids, called the Hildas, while the 2:1, inside the main belt, is associated to a gap (the Hecuba gap) in the distribution of asteroids.In his search for a dynamical explanation for the Hecuba gap, Wisdom (1987) pointed out the existence of orbits starting with low eccentricity and inclination inside the 2:1 commensurability and going to high eccentricity, and thus to possible encounters with Mars. It has been shown later (Henrard et al.), that these orbits were following a path from the low eccentric belt of secondary resonances to the high eccentric domain of secular resonances. This path crosses a bridge, at moderate inclination and large amplitude of libration, between the two chaotic domains associated with these resonances.The 3:2 resonance being similar in many respects to the 2:1 resonance, one may wonder whether it contains also such a path. Indeed we have found that it exists and is very similar to the 2:1 one. This is the object of the present paper.     

Numerical investigation of motions of resonant asteroids in the three-dimensional space

Motions of asteroids in mean motion resonances with Jupiter are studied in three-dimensional space. Orbital changes of fictitious asteroids in the Kirkwood gaps are calculated by numerical integrations for 10⁵ – 10⁶ years. The main results are as follows: (1) There are various motions of resonant asteroids, and some of them are very complicated and chaotic and others are regular. (2) The eccentricity of some asteroids becomes very large, and the variation of the inclination is large while the eccentricity is large. (3) In the 3:1 resonance, there is a long periodic change in the variation of the inclination, when (7 : ) is a simple ratio (7: longitude of perihelion, : longitude of node). (4) In the 7:3 resonance, the variation of the inclination of some resonant asteroids is so large that prograde motion becomes retrograde. Some asteroids in the 7:3 resonance can collide with the Sun as well as with the inner planets.     

地震综合效应场函数及其在地震预报中的应用──（一）地震综合效应场函数及其计算方法

在系统地分析了目前各种测震学地震预报方法科学思路的基础上,认为测震学地震预报方法基本上可以分为两大类。一类是以已经发生的一些地震作为未来可能发生的地震的“因”,即由于已经发生的地震对区域应力场的影响,导致未来发生较强地震。这一类包括的预报方法较多,如空区、条带、ｂ值、地震迁移、相关地震等等及其由此衍生出来的各种方法。另一类是把已经发生的一些地震作为区域应力场增强的“果”,即已经发生的地震是区域应力场增强过程中的一种反映,而未来地震不一定是已经发生的地震所导致的结果。这一类包括“地震窗口”、小震群活动等方法。针对第一类方法,各种预报方法都是力图从地震三要素中提取未来地震的信息,而具体作法又都是利用地震三要素这个多维空间的某个剖面。为了从地震活动诸要素的多维空间提取综合信息,我们对每个地震加入了破裂面方位,构成了地震第四要素,并依据地震４要素建立了地震综合效应场函数。地震综合效应场函数概括了多种测震学地震预报方法的科学思路和预报经验,从而可以形成测震学的综合预报方法。     

Research on temporal and spatial distribution, evolutionary character and mechanism of crustal deformation field before and after the Tangshan earthquake

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Seismic intensity investigation of the 2001 M=6.0 Yajiang-Kangding earthquake and discussion on its background of seismogenic structures

Introduction According to the determination of the state seismic station network, a strong earthquake with magnitude of 6.0 occurred at 08h09min, February 23, 2001 (Beijing Time) in the mountainous area of Garze, Sichuan Province in southwest China. The epicenter is at 101?6E, 29?4N. The seismic region is just located on combining part among six counties. After the occurrence of the earthquake, an investigating team from the Seismological Bureau of Sichuan Province started off to the sei…     

2001年四川省雅江-康定6.0级地震烈度考察及发震构造背景雏议

2001年2月23日四川省发生的6.0级地震，其宏观震中位于雅江县与康定县之间的高山峡谷地带．极震区烈度可达Ⅷ 度，Ⅷ 度区、Ⅶ 度区和Ⅵ 度区面积分别为180km2，1472 km2和3998 km2，等震线分布总体形态呈椭圆形，长轴近南北向．震区建筑物普遍受损，极震区山地灾害较为严重．初步分析认为，此次地震的发生与理塘断裂和玉农希断裂的长期活动有关，主干断裂活动造成的地壳应力调整和集中，最终在块体内部的次级断裂上释放而产生地震．      

新疆北天山Ms≥5.0地震前的中长期地震活动空间图像特征

对新疆北天山l931年以来6级以上、l970年以来5级以上地震前的地震活动空间图像进行了分析，发现震前多有不同程度的地震空区或条带出现，其孕育时间一般为8－14年；震源深度呈现由浅而深、通常超过25km的变化，孕育时间一般为3—4年。同时对上述地震活动空间图像前兆特征的机理进行了定性分析，并对所选资料的精度等问题进研了讨论。     

2001年施甸地震地质背景与发震构造分析

在讨论地震地质背景基础上，综合分析了震区的深部构造、地表活动断裂、地面形变、极震区展布方向、震害、余震分布、震源机制解等发震构造标志，并且进一步探讨了发震机制。初步认为北北西向罗明坝－太平断裂和北东向飞陵－丙麻断裂是2001年施甸地震的主要发震构造，二者具有共回轭构造活动的特征。     

The identification and criteria of short-term seismicity gap before a great earthquake

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