Roberto Caimmi

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The fossil record of early hominids suggests that their Arm length, and presumably stature and weight, had a tendency to increase. Using the minimum jerk principle and a related formulation of averaged specific power, ASP, with regard to selected two-joint Arm movements, the current paper explores relationships between ASP, hand trajectory length (or Arm(More)
With regard to homeoidally striated Jacobi ellipsoids (Caimmi & Marmo 2005), a unified theory of systematically rotating and peculiar motions is developed, where both real and imaginary rotation (around a fixed axis) are considered. The effect of positive or negative residual motion excess, is shown to be equivalent to an additional real or imaginary(More)
The current paper is aimed in getting more insight on three main points concerning large-scale astrophysical systems, namely: (i) formulation of tensor virial equations from the standpoint of analytical mechanics; (ii) investigation on the role of systematic and random motions with respect to virial equilibrium configurations; (iii) extent to which(More)
Simulated dark matter haloes are fitted by self-similar, universal density profiles, where the scaled parameters depend only on a scaled (truncation) radius, Ξ = R/r 0 , which, in turn, is supposed to be independent on the mass and the formation redshift. The further assumption of a lognormal distribution (for a selected mass bin) of the scaled radius, or(More)
Analytical and geometrical properties of generalized power-law (GPL) density profiles are reviewed, and special effort is devoted to the special cases where GPL density profiles reduce to (i) a double power-law (DPL), and (ii) a single power-law (SPL). Then GPL density profiles are compared with simulated dark haloes (SDH) density profiles, and nonlinear(More)
Unsustained matter distributions unescapely collapse unless fragmentation and centrifugal or pressure support take place. Starting from the above evidence, supermassive compact objects at the centre of large-mass galaxies (defined as " holes ") are conceived as the end-product of the gravitational collapse of local density maxima (defined as " central(More)