The second Zagreb coindex is a well-known graph invariant defined as the total degree product of all non-adjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity co...

This paper describes the influence of rotor eccentricity synchronous reactive frequency doubler’s characteristics. Specifically, the research is concentrated on the influence of rotor eccentricity on increased frequency EMF E2 value, that is induced it stator’s secondary winding. To clarify this question the simulations by using the finite element method implemented in QuickField software, are ...

OBJECTIVE The compressive tolerance of the cervical spine has traditionally been reported in terms of axial force at failure. Previous studies suggest that axial compressive force at failure is particularly sensitive to the alignment of the cervical vertebra and the end conditions of the test methodology used. The present study was designed to develop a methodology to combine the data of previo...

Abstract: This paper proposes a magnetic actuator using multiple vibration components to perform locomotion in a complex pipe with a 25 mm inner diameter. Due to the desire to increase the turning moment in a T-junction pipe, two vibration components were attached off-center to an acrylic plate with an eccentricity of 2 mm. The experimental results show that the magnetic actuator was able to mo...

Do we perceive correctly whether a 2-D object is balanced or unbalanced? What would be the cause of biased equilibrium judgments? In two psychometric studies, we varied independently the characteristics of the objects and the equilibrium states. First, we observed that observers were excessively sensitive to the eccentricity of the object top. Second, we found that the subjective transition fro...

We report the detection of a planetary companion orbiting the solar-type star HD80606, the brighter component of a wide binary with a projected separation of about 2000 AU. Using high-signal spectroscopic observations of the two components of the visual binary, we show that they are nearly identical. The planet has an orbital period of 111.8 days and a minimum mass of 3.9 MJup. With e =0.927, t...

The origin of Saturn's narrow G ring has been unclear. We show that it contains a bright arc located 167,495.6 +/- 1.3 km from Saturn's center. This longitudinally localized material is trapped in a 7:6 corotation eccentricity resonance with the satellite Mimas. The cameras aboard the Cassini spacecraft mainly observe small (1 to 10 micrometers) dust grains in this region, but a sharp decrease ...

The star S0-2, which is orbiting Sgr A* with a 15-yr period, almost certainly did not form in situ. We propose that it was injected into this close orbit by the tidal disruption of a massive-star binary, whose primary was more massive than S0-2 and at least 60M⊙. From numerical integrations we find that 1-2% of incoming binaries with closest approach equal to 130AU leave the secondary in an orb...

We present here the results of Arecibo timing of PSR B1516+02B, a 7.95-ms pulsar in a binary system with a ∼ 0.17M⊙ companion and an orbital period of 6.85 days located in the globular cluster M5. The eccentricity of the orbit (e = 0.14) has allowed a measurement of the rate of advance of periastron: ω̇ = (0.0136 ± 0.0007)◦yr−1. It is very likely that the periastron advance is due to the effects...

The eccentricity of a system of two planets locked into a 2:1 resonance grows as the planets migrate inwards through a gaseous protoplanetary disk. We show that this can lead to large eccentricities of the inner planet, even when the outer planet has a mass low enough to have eluded detection with current surveys. If most of the observed extrasolar planetary systems initially harboured extra pl...