In this paper we show how the mass properties of an articulated body, such as its center of mass and its moments of inertia, may be manipulated like any conventional end effector, with well-known iterative, numerical techniques. Within our interactive simulation testbed software, we illustrate this tool for the geometrical design of rigid bodies with prescribed mass properties, and for the mani...

Abstract We study signatures of physical constraints on free rotations rigid bodies. show analytically that the or non-physical nature moments inertia a system can be detected by qualitative changes both in Montgomery phase and tennis racket effect.

The cranked relativistic mean field theory is applied for a detailed investigation of eight superdeformed rotational bands observed in Tb. It is shown that this theory is able to reproduce reasonably well not only the dynamic moments of inertia J (2) of the observed bands but also the alignment properties of the singleparticle orbitals. In the relativistic mean field (RMF) theory the nucleus is...

A. V. Meremianin∗ Department of General Physics, Voronezh State University, 394006, Voronezh, Russia (ΩDated: February 22, 2013) Abstract The Eckart frame is used to separate out the collective rotations in the quantum three-body problem. Explicit expressions for the corresponding rotational and vibro-rotational (i.e. Coriolis) Hamiltonians are derived. Special attention is paid to the situatio...

The projected shell model analysis is carried out using the triaxial Nilsson+BCS basis. It is demonstrated that, for an accurate description of the moments of inertia in the transitional region, it is necessary to take the triaxiality into account and perform the three-dimensional angular-momentum projection from the triaxial Nilsson+BCS intrinsic wavefunction. PACS numbers : 21.60.Cs, 21.10.Hw...

An algorithm is presented to fit precipitates in atom probe tomographic data sets as equivalent ellipsoids. Unlike previous techniques, which measure only the radius of gyration, these ellipsoids retain the moments of inertia and principle axes of the original precipitate, preserving crystallographic orientational information. The algorithm is applied to study interconnected γ-precipitates (L12...