Steering a motorcycle or bicycle is counterintuitive; to turn right, you must steer left initially, and vice versa. You can execute this initially counter-directed turn by turning the handlebars explicitly ~called counter-steering! or by throwing your hips to the side. Contrary to common belief, gyroscopic forces play only a limited role in balancing and steering @D. E. H. Jones, Phys. Today 23...

1) J. Paulose, A. Meunnissen, V. Vitelli, “Selective buckling via states of self-stress in topological metamaterials,” arXiv:1502.03396 2) Z. Yang F. Gao, X. Shi, X. Lin, Z. Gao, Y. Chong, B. Zhang, “Topological Acoustics,” Phys. Rev. Lett. 114, 114301 (2015). 3) L.M. Nash, D. Kleckner, A. Read, V. Vitelli, A.M. Turner, W.T.M. Irvine, “Topological mechanics of gyroscopic metamaterials,” arXiv:1...

Dynamic analysis of symmetric rotor with gyroscopic effect is performed in this study. First, equations of motion have been derived using Lagrange equation and then solved analytically by Homotopy Perturbation Method (HPM) and numerically appling Runge-Kutta-Fehlberg 4th-5th order method. Results are presented through graphs and table. Comparison of analytic outcomes with numerical ones showed ...

Given an undamped gyroscopic system GðλÞ 1⁄4 Mλ þ CλþK with M , K symmetric and C skew-symmetric, this paper presents a real-valued spectral decomposition of GðλÞ by a real standard pair ðX;TÞ and a skew-symmetric parameter matrix S . When T is assumed to be a block diagonal matrix, the parameter matrix S has a special structure. This spectral decomposition is applied to solve the quadratic inv...

We report on the operation of a 2.56  m2 helium-neon based ring laser interferometer at a wavelength of 1.152276 μm using crystalline coated intracavity supermirrors. This work represents the first implementation of crystalline coatings in an active laser system and expands the core application area of these low-thermal-noise cavity end mirrors to inertial sensing systems. Stable gyr...

This paper presents the theory and design of a torque-optimal guidance algorithm for CubeSat applications. CubeSats and nano-satellites provide mission-flexible low-cost platforms for the academic and scientific communities to conduct cutting-edge research in the harsh environment of space. The mission life of nano-satellites may be limited by the attitude actuators, and it is therefore benefic...