Gas-phase average structures for the ground-vibrational state (1',) for ethane and diborane have been determined by a critical comparison of the experimental results obtained from electron diffraction (average internuclear distances ra) and those obtained from high-resolution infrared and Raman spectroscopy (rotational constants B.("'»). Experimental values have been taken from the recent liter...

A model of relativistic extended particle is considered with the help of generalization of space-time interval. Ten additional dimensions are connected with six rotational and four deformational degrees of freedom. An obtained 14-dimensional space is assumed to be an embedding one both for usual space-time and for 10dimensional internal space of rotational and deformational variables. To descri...

This article presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the Lagrangian form, is the use of the distributed stability and performance analysis tool, called contraction analysis that yields exact nonlinear stability proofs. T...

This paper represents the first effort in seismic fragility analysis of a structure using a structural analysis model developed on the basis of measured vibration data. An instrumented highway bridge is used to demonstrate the analysis procedure involving measuring ambient vibration, identifying modal parameters from the measured data, updating a preliminary FE model (obtained from structural d...

The rotational spectra of m-xylene, (CH3)2C6H4, and of m-xylene-d10, (CD3)2C6D4, have been recorded between 6 and 26.5 GHz using pulsed beam Fourier transform microwave spectroscopy. The clue for the assignment of the internal rotation multiplets was the inertial defect derived from the A1A1 species transitions. The rotational constants for m-xylene and m-xylene-d10 are A = 3572.1117(1) MHz / 2...

This article presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the Lagrangian form, is the use of the distributed stability and performance analysis tool, called contraction analysis that yields exact nonlinear stability proofs. T...

After considering the advantages of using such a simple mechanical model, the nucleus of Comet Hale-Bopp is treated as a free rotation symmetrical top. Although most authors have rejected the periodicity of more than 20 days, we considered in our analysis a possible complex rotational state with the 11.30 hour and the 20–24 day periods. From our model, a complex rotation could be possible if th...

Synthesizing controllers for rotational movements in feature space is an open research problem and is particularly challenging because of the need to precisely regulate the character’s global orientation, angular momentum and inertia. This paper presents feature-based controllers for a wide variety of rotational movements, including cartwheels, dives and flips. We show that the controllers can ...

For the Dirac particle in the rotational system, the rotation induced inertia effect is analogously treated as the modification of the “spin connection” on the Dirac equation in the flat spacetime, which is determined by the equivalent tetrad. From the point of view of parallelism description of spacetime, the obtained torsion axial-vector is just the rotational angular velocity, which is inclu...

The Furuta pendulum, or rotational inverted pendulum, is a system found in many control labs. It provides a compact yet impressive platform for control demonstrations and draws the attention of the control community as a platform for the development of non-linear control laws. Despite the popularity of the platform there are very few papers which employ the correct dynamics and only one that de...