![]() Usubamatov, "Mathematical model for motions of gyroscope suspended from a flexible cord", Cogent Engineering, vol. Sah, "Analysis of a Coriolis Acceleration", Journal of Advanced Science and Engineering Research, vol. Recent investigations of the physical principles of gyroscope motions demonstrating that the centrifugal, common inertial, Coriolis forces, and the change in the angular momentum manifest the action of gyroscope’s resistance and precession torques [ 22 R. However, the origin of gyroscope effects is more complex than those represented in the known theories. Ferrari, "Gyroscope’s Precession and the Principle of Equivalence", Ann. Kurosu, "Gyroscopic Force Measuring System", Transactions of SICE, pp. This is the reason that gyroscope theory still attracts researchers seeking to find answers on gyroscope challenges [ 20 K. Wum, "Error analysis and test study of fibre optic gyroscope north-finder", Proceedings of SPIE, vol. Physical Review Letters 64, APS Journal, Vol. McHugh, Gyroscope-weighing experiment with a null result. From this, researchers have spawned artificial terms, such as gyroscope effects and others that contradict the physics laws [ 18 J. Mathematical models for gyroscope properties in known publications do not match practical applications for gyroscopic devices. Nevertheless, the action of these inertial forces on gyroscopes is not presented by mathematical models. ![]() Yavrucuk, "Gimbal angle restricted control moment gyroscope clusters", Proceedings of 4th International Conference on Recent Advances in Space Technologies (RAST), pp. Butikov, "Inertial rotation of a rigid body", Eur. Some researchers intuitively pointed to the action on the spinning rotor of other inertial forces [ 14 E. Lee, "Vorticity, gyroscopic precession, and spin-curvature force", Phys. ![]() Jonsson, "Gyroscope precession in special and general relativity from basic principles", Am. However, all known manuscripts contain numerous assumptions, simplifications, as well as explaining the gyroscope effects in terms of the change in the angular momentum only [ 12 R.M. , 3rd edMcGraw-Hill Book Company: New York. Uicker, Theory of Machines and Mechanisms. There are many publications regarding gyroscope theory as well as many approaches and mathematical solutions that describe gyroscopic properties [ 10 J. , 12th edPrentice Hall, Pearson: Singapore. ![]() Hibbeler, Engineering Mechanics - Statics and Dynamics. All fundamental textbooks of classical mechanics have chapters that represent gyroscope theory [ 8 R.C. Numerous publications have been dedicated to computing of gyroscopic effects in engineering. The applied theory of gyroscope emerged mainly in the twentieth century due to increasing the angular velocities of the spinning components of the movable machines. Since those time brilliant, famous, outstanding, and ordinary scientists studied gyroscopic effects and published fundamental manuscripts that describe interesting gyroscope properties. Furthermore, it indicates the pair of the tanks with less fuel expelled all of its propellant by 2014 and that approximately 46 kg of propellant remains in the other two tanks, an amount that closely matches the operational fuel accounting estimate.Industrial Revolution involved scientists to pay the attention to the remarkable gyroscope property expressesed in permanent maintaining the axis of a spinning rotor in a space. This novel analysis of spin and precession periods indicates that at the time of launch, propellant was distributed unevenly between the two pairs of fuel tanks, with one pair having approximately 20% more propellant than the other pair. A Monte Carlo search was performed to tune free parameters using the observed spin period to precession period ratio over the life of the mission. The resulting modeled ratios were compared to the actual spin period to precession period ratio derived from the effect of post-maneuver nutation angle on sun sensor measurements. A Fast Fourier Transform (FFT) of output from a dynamics simulation was employed to relate calculated moments of inertia to spin and precession periods. Numerical integration of possible fuel distributions was used to calculate moments of inertia for the spinning spacecraft. This analysis was undertaken once telemetry suggested that two of the four fuel tanks had no propellant remaining, contrary to pre-launch expectations of the propulsion system performance. Fuel Distribution Estimate via Spin Period to Precession Period Ratio for the Advanced Composition Explorer The spin period to precession period ratio of a non-axisymmetric spin-stabilized spacecraft, the Advanced Composition Explorer (ACE), was used to estimate the remaining mass and distribution of fuel within its propulsion system.
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