We consider particles with low free or proper eccentricity that are orbiting near planets on eccentric orbits. Via collisionless particle integration we numerically find the location of the boundary of the chaotic zone in the planet’s corotation region. We find that the distance in semi-major axis between the planet and boundary depends on the planet mass to the 2/7 power and is independent of ...

For any vertex v and any edge e in a non-trivial connected graph G, the eccentricity e(v) of v is e(v) =max{d(v, u) : u ∈ V }, the vertex-to-edge eccentricity e1(v) of v is e1(v) = max{d(v, e) : e ∈ E}, the edge-to-vertex eccentricity e2(e) of e is e2(e) = max{d(e, u) : u ∈ V } and the edge-to-edge eccentricity e3(e) of e is e3(e) = max{d(e, f) : f ∈ E}. The set C(G) of all vertices v for which...

It is generally accepted that neutron stars form in core collapse events that are accompanied by a supernovae (types II or Ib or Ic). Typical progenitors are, therefore, larger than ∼ 2.1M⊙. We suggest [1, 2] that the binary pulsar J0737-3039 provides evidence for a new formation channel: collapse of a light progenitor. This binary pulsar J0737-3039 has several remarkable features including amo...

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...

In this paper, torsional behavior of asymmetric structures with fixed base and isolated base has been compared. Studied Structures are three-dimensional, three and eight story steel structures whose nonlinear time history analysis was conducted based on the records of El Centro earthquake (1940), Tabas earthquake (1978), and Bam earthquake (2003). Analysis results show the efficiency of seismic...

Waqas Nazeer 1, Shin Min Kang 2,3, Saima Nazeer 4, Mobeen Munir 1, Imrana Kousar 4, Ammara Sehar 4 and Young Chel Kwun 5,* 1 Division of Science and Technology, University of Education, Lahore 54000, Pakistan; [email protected] (W.N.); [email protected] (M.M.) 2 Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea; smkang@gn...

The latency time, which is the residual vibration of afine actuator and track eccentricity, has been the aim for direct pull-in in optical disk system. Modified velocity profiles of the coarse actuator and control inputs of the fine actuator have been proposed for the minimum residual vibration. Generally, there exists eccentricity due to mismatch of the disk center and the axis of a spindle mo...

Birkhoff’s fundamental theorem on distributive lattices states that for every distributive lattice L there is a poset PL whose lattice of down-sets is order-isomorphic to L. Let G(L) denote the cover graph of L. In this paper, we consider the following problems: Suppose we are simply given PL. How do we compute the eccentricity of an element of L in G(L)? How about a center and the radius of G(...