Search for Spatial Structures at Scales Z∼ 1. III. The Effect of Lensing on QSO ?

We carried out a search for peak in homogeneities in the distribution of matter – namely clumps and voids, within the range Z ∼ 1-3. We used a new method, based on the lensing of quasars by a combination of lenses, belonging to the above sought in homogeneities in the matter distribution. This work confirms the evidence of the existence of in homogeneities found by us earlier – of a clump (superattractor N.1), and of a void(supervoid). Besides, the existence of a new gigantic clump (superattractorN.2) was also discovered at Z ∼ 3. These clumps could well serve ascenters of the Bose-condensation in the early Universe; in particular –as Anselm's arion condensate, which leads to the formation of quasiperiodic structures with a period p ∼ 100-200 Mpc. This revised version was published online in July 2006 with corrections to the Cover Date.     

Dynamics of double open clusters in the galactic field

Data from catalogs of multiple open star clusters (OSCs) have been used to compile a list of double and triple OSCs. Seven pairs of young OSCs with similar ages of their components have been selected from them. The dynamical evolution of the selected pairs of clusters in the Galactic gravitational field has been simulated numerically. The individual cluster masses have been estimated and the time dependences of the separations between the clusters have been constructed. The separations between the clusters are shown to exceed the tidal cluster radii. Various hypotheses of the origin of double OSCs are discussed: chance formations of pairs, formation within the same star complex, etc.     

Validity of paleomagnetic poles and principles of constructing their wander paths: A case study of the East European platform

Methods of selecting paleomagnetic data for the construction of apparent polar wander paths (APWPs) are analyzed. It is shown that the existing criteria of reliability of paleomagnetic data cannot be regarded as evidence for their validity. In other words, no unambiguous dependence exists between the reliability and the closeness of paleomagnetic poles to a hypothetical region crossed by the reliable APWP. A new approach to the construction of paleomagnetic APWPs based on simple principles (principle of space and principle of time) is proposed. Using a numerical implementation of this algorithm, three stable clusters were determined (L _p = 164, F _p = 43; L _p = 144, F _p = 13; and L _p = 170, F _p = ?2); the respective maximum estimates of their ages are 248–251, 345, and 385 Ma. These clusters can be regarded as reliable paleomagnetic poles in the Paleozoic of the East European platform.     

Criteria for the stability of triple systems and their application to observations of multiple stars

Criteria for stability of triple systems are studied and compared with the results of numerical simulations obtained for model triple systems and observed multiple stars. The results for the stability analyses using two new criteria—those of Aarseth and of Valtonen et al.—agree with the simulation results in 98% of cases. Thus, these criteria can be used to analyze the stability of systems for which direct modeling of their dynamical evolution is difficult (for example, because not all orbital parameters for their subsystems are known). The last published version of the “Multiple-Star Catalog” of Tokovinin is analyzed to search for systems that may be unstable according to the two new criteria. More detailed studies are carried out for the HD 284419 (T Tau) system. The parameters of the apparent motion method is used to obtain new orbital solutions for this system. The regions of dynamical stability of the system as functions of the orbital parameters are estimated. It is not possible to determine a unique solution for the orbit with the available data; for periods shorter than 300 yr and longer than 5500 yr, the probability of decay of the system on time scales less than 107 yr is high. This conclusion is supported by the application of the stability criteria, as well as direct modeling of the system’s dynamical evolution.     

Search for and study of nearly periodic orbits in the plane problem of three equal-mass bodies

We analyze nearly periodic solutions in the plane problem of three equal-mass bodies by numerically simulating the dynamics of triple systems. We identify families of orbits in which all three points are on one straight line (syzygy) at the initial time. In this case, at fixed total energy of a triple system, the set of initial conditions is a bounded region in four-dimensional parameter space. We scan this region and identify sets of trajectories in which the coordinates and velocities of all bodies are close to their initial values at certain times (which are approximately multiples of the period). We classify the nearly periodic orbits by the structure of trajectory loops over one period. We have found the families of orbits generated by von Schubart’s stable periodic orbit revealed in the rectilinear three-body problem. We have also found families of hierarchical, nearly periodic trajectories with prograde and retrograde motions. In the orbits with prograde motions, the trajectory loops of two close bodies form looplike structures. The trajectories with retrograde motions are characterized by leafed structures. Orbits with central and axial symmetries are identified among the families found.