We describe new methods for the construction of spiral toolpaths for high-speed machining. In the simplest case, our method takes a polygon as input and a number δ > 0 and returns a spiral starting at a central point in the polygon, going around towards the boundary while morphing to the shape of the polygon. The spiral consists of linear segments and circular arcs, it is G continuous, it has n...

The problem of spiral galaxies rotation curves and some others are approached classically on the base of the geometrodynamics. The modification of the expression for Einstein-Hilbert action leads to the generalized geodesics and then to the equations for the gravity force that contain not only the Newtonian term. The used approach is consistent with the equivalence principle, preserves all the ...

The dynamics and engineering of a spiral slingatron mass accelerator are described together with the status of experiments. The potential utility of this mechanical device for space launch applications is discussed.

We study equations of a non-gauge vector field in a spherically symmetric static metric. The constant vector field with a scale arrangement of components: the time component about the Planck mass m Pl and the radial component about M suppressed with respect to the Planck mass, serves as a source of metric reproducing flat rotation curves in dark halos of spiral galaxies, so that the velocity of...

If the disk of the spiral galaxies has a moderated value of the mean optical depth, the observed luminosity function should be corrected for the combined effect of the inclination and the opacity of the galactic disk. We obtain the corrected luminosity function for current models of opaque matter distribution.

New CO(1→0) and CO(2→1) profiles complemented by data from the literature are used to obtain CO linewidths for 29 barred spiral galaxies with young nuclear starbursts. The ages of the starbursts were estimated from optical spectroscopy and recent evolutionary synthesismodels. TheCO linewidths and the starburst ages are correlated : galaxies with young (4-6 Myr) starbursts display narrow (<∼ 100...

The axial injection system of the U400 cyclotron has been constructed and put into operation since the second half of 1996. With the aim of increasing the transportation and the acceleration coefficients of the injected beams the modernization of this system is done. The double buncher system (Sine and Line types) was put into operation in 1997-1998. The expected acceleration efficiency with th...

The spiral-down effect occurs when incorrect assumptions about customer behavior cause high-fare ticket sales, protection levels, and revenues to systematically decrease over time. If an airline decides how many seats to protect for sale at a high fare based on past high-fare sales, while neglecting to account for the fact that availability of low-fare tickets will reduce high-fare sales, then ...

Recent surveys of the Local Group spiral Galaxies M 31 and M 33 with XMM-Newton yielded a large number of X-ray sources.