EJECTION–COLLISION ORBITS AND INVARIANT PUNCTURED TORI IN A RESTRICTED FOUR‐BODY PROBLEM

We study the motion of an infinitesimal mass point under the gravitational action of three mass points of masses μ, 1–2μ and μ moving under Newton's gravitational law in circular periodic orbits around their center of masses. The three point masses form at any time a collinear central configuration. The body of mass 1–2μ is located at the center of mass. The paper has two main goals. First, to prove the existence of four transversal ejection–collision orbits, and second to show the existence of an uncountable number of invariant punctured tori. Both results are for a given large value of the Jacobi constant and for an arbitrary value of the mass parameter 0<μ≤1/2. This revised version was published online in July 2006 with corrections to the Cover Date.     

The Wave Energy Concentration at the Agulhas Current off South Africa

The case of a freak wave collision with the ship in the Agulhas current is described. The explanation of the appearance of the freak wave as a result of wind-wave transformation in the Agulhas current is given. Swell is captured and intensified by the counter-current and is located in the neighbourhood of the maximum value of the current velocity, as a result of which there is a great concentration of wave-energy density. The superposition of wind and sea with swell transformed by the current promotes the formation of the freak waves. Using a simple mathematical analysis, an optimal ship track is proposed which could reduce the risk of collision with a freak wave.     

Arc–arc collision in the Izu collision zone, central Japan, deduced from the Ashigara Basin and adjacent Tanzawa Mountains

The Pleistocene Ashigara Basin and adjacent Tanzawa Mountains, Izu collision zone, central Japan, are examined to better understand the development of an arc–arc orogeny, where the Izu–Bonin – Mariana (IBM) arc collides with the Honshu Arc. Three tectonic phases were identified based on the geohistory of the Ashigara Basin and the denudation history of the Tanzawa Mountains. In phase I, the IBM arc collided with the Honshu Arc along the Kannawa Fault. The Ashigara Basin formed as a trench basin, filled mainly by thin-bedded turbidites derived from the Tanzawa Mountains together with pyroclastics. The Ashigara Basin subsided at a rate of 1.7 mm/year, and the denudation rate of the Tanzawa Mountains was 1.1 mm/year. The onset of Ashigara Basin Formation is likely to be older than 2.2 Ma, interpreted as the onset of collision along the Kannawa Fault. Significant tectonic disruption due to the arc–arc collision took place in phase II, ranging from 1.1 to 0.7 Ma in age. The Ashigara Basin subsided abruptly (4.6 mm/year) and the accumulation rate increased to approximately 10 times that of phase I. Simultaneously, the Tanzawa Mountains were abruptly uplifted. A tremendous volume of coarse-grained detritus was provided from the Tanzawa Mountains and deposited in the Ashigara Basin as a slope-type fan delta. In phase III, 0.7–0.5 Ma, the entire Ashigara Basin was uplifted at a rate of 3.6 mm/year. This uplift was most likely caused by isostatic rebound resulting from stacking of IBM arc crust along the Kannawa Fault which is not active as the decollement fault by this time. The evolution of the Ashigara Basin and adjacent Tanzawa Mountains shows a series of the development of the arc–arc collision; from the subduction of the IBM arc beneath the Honshu Arc to the accretion of IBM arc crust onto Honshu. Arc–arc collision is not the collision between the hard crusts (massif) like a continent–continent collision, but crustal stacking of the subducting IBM arc beneath the Honshu Arc intercalated with very thick trench fill deposits.     

船舶转向避让碰撞距离模型的确定

船舶碰撞距离直接影响船舶碰撞危险度的大小。分析了影响船舶碰撞距离的因素:会遇 态势、船舶的操纵性能、船舶尺度、船舶速度等;给出目标船静止不动时和目标船有运动速度时的 船舶转向避让时碰撞距离数学模型,为研究船舶碰撞危险度和船舶自动避碰决策系统提供理论依 据。     

班公湖- 怒江缝合带同碰撞海沟盆地砂岩物源分析及其大地构造意义

同碰撞海沟沉积可为重建板块缝合带大地构造演化、约束陆块初始碰撞时间提供重要信息。本文对班公湖-怒江缝合带西段的改则县亚多组和日土县多仁组进行了沉积学、岩相学、碎屑锆石年代学、重矿物研究。沉积学分析表明,多仁组、亚多组沉积于海底扇环境。最年轻的碎屑锆石年龄限制了最早沉积时代为晚侏罗世。多仁组、亚多组砂岩Q：F：L分别为52：4：44、32：8：60,均以丰富的沉积岩和酸性火成岩岩屑及少量的变质岩屑为特征;重矿物以磷灰石、锆石、电气石等稳定重矿物为主。多仁组和亚多组具有相似的碎屑锆石年龄分布模式,主峰分布在350～200 Ma、550～450 Ma、900～750 Ma、1900～1800 Ma、2550～2450 Ma范围内。这些数据表明,亚多组、多仁组碎屑物质来源于沉积区北侧的班公湖-怒江缝合带增生杂岩及南羌塘岩浆岩。多仁组、亚多组出现的大量沉积岩岩屑,表明物源区经历了广泛的构造缩短作用,导致沉积岩和同期岩浆岩被剥蚀,因此多仁组、亚多组是拉萨-羌塘同碰撞的产物。据此推断,沿班公湖-怒江缝合带改则-日土区域拉萨-羌塘初始碰撞发生在晚侏罗世多仁组、亚多组沉积之前。     

Deep reflection seismic imaging of the internal zone of the South Armorican Hercynian belt (western France) (ARMOR 2/Géofrance 3D Program)

We present results and interpretation of a 72 km long deep seismic reflection profile acquired across the internal zone of the Hercynian belt of South Brittany. The profile is of excellent quality, most of the crust being highly reflective. The “ARMOR 2 South” profile, is correlated with the “ARMOR 2 North” profile that was published in 2003. Correlation of the main subsurface reflections with surface geological and structural data provides important information about the crustal structure that resulted from thickening during Late Devonian and regional-scale extension during Late Carboniferous. In particular, seismics image shows a very high reflectivity zone, lying flat over more than 40 km at about 10–12 km depth. This zone is interpreted as a major zone of ductile crustal thinning.     

血管介入手术中的柔性虚拟力触觉系统研究

随着微创手术的发展,虚拟手术的应用前景越来越广阔.力反馈作为虚拟手术的核心技术,其实现的效果直接影响了虚拟手术的沉浸感.通过对经典包围盒碰撞检测算法进行研究比对,选择了球包围盒的碰撞检测算法,并建立了精确的反馈力计算模型,实现了介入血管中的柔性碰撞仿真.该仿真具有很高的实时性和精度.     

Paleomagnetic and 40Ar/39Ar geochronological results from the Linzizong Group,Linzhou Basin,Lhasa Terrane,Tibet: Implications to Paleogene paleolatitude and onset of the India–Asia collision

The Linzizong Group (64–44 Ma) of the Lhasa Terrane in Tibet is critically positioned for establishing the paleoposition of the southern leading edge of the Asian continent during Paleogene times and constraining onset of the India–Asia collision. Here we report paleomagnetic results from a collection comprising 384 drill-core samples from 34 sites embracing all three formations of this group. Comprehensive demagnetization and field tests isolate characteristic remanent magnetizations (ChRM) summarized by overall tilt-corrected formation-mean directions of D = 183.6°, I = −12.4° (α₉₅ = 8.1°) for the Dianzhong (64–60 Ma), D = 1.0°, I = 18.1° (α₉₅ = 8.1°) for the Nianbo (60–50 Ma), and D = 12.4°, I = 23.2° (α₉₅ = 7.3°) for the Pana (50–44 Ma). Fold tests are positive in each formation suggesting a pre-folding origin and we interpret the magnetizations as quasi-primary and acquired at, or slightly later than, formation of the Linzizong Group. Revised Paleogene paleopoles with Ar–Ar age constraints for the Lhasa Terrane indicate that onset of the India–Asia collision occurred no later than ∼60.5 ± 1.5 Ma at a low paleolatitude of ∼10°N. Analysis of 60 site-mean observations from a range of studies of the Pana Formation in the higher part of the succession highlight a large dispersion of ChRM directions; a number of possible causes are suggested but further study of this formation over a wider area is required to resolve this issue.     

辽西花坤头营子地区旋卷构造特征浅析

辽宁西部花坤头营子地区旋卷构造是板块碰撞陆内造山作用结果.该构造由内环、外环及推覆体三部分组成.内环为一个完整的莲花状构造体系,由中心向外,岩石地层单位呈一圈一圈的,由老向新排列.外环为以雾迷山组为主体的北东向的瓦房子复背斜核部.内环与外环以塌陷断层、旋转挤压断层分隔.与该构造有关的矿产有铅锌、锰矿.