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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)

- R Caimmi
- 2009

Macrogases are defined as two-component, large-scale celestial objects where the subsystems interact only via gravitation. The macro-gas equation of state is formulated and compared to the van der Waals (VDW) equation of state for ordinary gases. By analogy, it is assumed that real macroisothermal curves in macrogases occur as real isothermal curves in… (More)

- R Caimmi
- 2009

On the basis of earlier investigations on homeoidally striated Mac Laurin spheroids and Jacobi ellipsoids (Caimmi and Marmo 2005; Caimmi 2006a, 2007), different sequences of configurations are defined and represented on the ellipticity-rotation plane, (Oêχ 2 v). The rotation parameter, χ 2 v , is defined as the ratio, E rot /E res , of kinetic energy… (More)

- R Caimmi
- 2008

The tensor virial theorem for subsystems is formulated for three-component systems and further effort is devoted to a special case where the inner subsystems and the central region of the outer one are homogeneous, the last surrounded by an isothermal homeoid. The virial equations are explicitly written under the additional restrictions: (i) similar and… (More)

- R Caimmi
- 2008

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)

- R Caimmi, T Valentinuzzi
- 2008

Two-component systems are conceived as macrogases, and the related equation of state is expressed using the virial theorem for subsystems , under the restriction of homeoidally striated density profiles. Explicit calculations are performed for a useful reference case and a few cases of astrophysical interest, both with and without truncation radius.… (More)

- R Caimmi
- 2008

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)

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)

- R Caimmi
- 2008

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)

- R Caimmi, T Valentinuzzi
- 2008

Two-component, ideal, self-gravitating fluids are conceived as macro-gases, and the related equation of state is expressed using the virial theorem for subsystems, under the restriction of homeoidally striated density profiles. Explicit calculations are performed for a useful reference case and a few cases of astrophysical interest, both with and without… (More)