The late evolutionary stages of low- and intermediate-mass stars are characterised by mass loss through a dust-driven stellar wind. Recent observations reveal complex structures within these winds, that believed to be formed primarily via interaction with companion. How complexities arise, which in type systems, is still poorly understood. Particularly, there lack studies investigating the stru...

The $ (1+n) $-gon elliptic relative equilibrium (ERE for short) is the planar central configuration solution consisting of n unit masses at vertices a regular with body mass m center, and each particle moves on Keplerian orbit common eccentricity e\in [0,1) $. Maxwell first considered this model in his study stability Saturn's rings. Moeckel [10] proves that e = 0 $, linearly stable sufficientl...

Inspiraling compact binaries have been identified as one of the most promising sources of gravitational waves for interferometric detectors. Most of these binaries are expected to have circularized by the time their gravitational waves enter the instrument’s frequency band. However, the possibility that some of the binaries might still possess a significant eccentricity is not excluded. We imag...

We present a re-analysis of our Hand K-band photometry and light-curves for GCIRS 16SW, a regular periodic source near the Galactic center. These data include those presented by DePoy et al. (2004); we correct a sign error in their reduction, finding GCIRS 16SW to be an eclipsing binary with no color variations. We find the system to be an equal mass overcontact binary (both stars overfilling t...

We present the results of MHD simulations of low mass protoplanets interacting with turbulent, magnetised protostellar disks. We calculate the orbital evolution of ‘planetesimals’ and protoplanets with masses in the range 0 ≤ mp ≤ 30 M⊕. The disk models are cylindrical models with toroidal net-flux magnetic fields, having aspect ratio H/r = 0.07 and effective viscous stress parameter α ≃ 5× 10....

In spite of the fact that flexibility crankshaft diesel engines exhibits notable nonlinearities, analytical modeling such nonlinearities is not yet realized. The present study thus analytically models effect eccentricity on flexible and piston secondary motion. modeled as summation hydrodynamic dynamic mass crankshaft. also absolute value vibrational displacement center paper proves sensitive t...

In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described...

For any two vertices u and v in a connected graph G, a u − v path is a monophonic path if it contains no chords, and the monophonic distance dm(u, v) is the length of a longest u − v monophonic path in G. For any vertex v in G, the monophonic eccentricity of v is em(v) = max {dm(u, v) : u ∈ V}. The subgraph induced by the vertices of G having minimum monophonic eccentricity is the monophonic ce...