Classical Dynamics of Particles and Systems 1965
DOI: 10.1016/b978-1-4832-5676-4.50017-2
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Dynamics of Rigid Bodies

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Cited by 49 publications
(75 citation statements)
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“…The relative velocity of a point on a moving rigid body is given by Marion & Thornton [ 36 ]. In the context of two rigidly mounted IMUs, the relative velocity is expressed as: where L̇ 2,1 is the relative velocity between the IMUs 2 and 1, ω 1 is the angular velocity vector measured by IMU 1, and L 2,1 is the vector between IMUs 1 and 2.…”
Section: Centralized Filter Fusionmentioning
confidence: 99%
“…The relative velocity of a point on a moving rigid body is given by Marion & Thornton [ 36 ]. In the context of two rigidly mounted IMUs, the relative velocity is expressed as: where L̇ 2,1 is the relative velocity between the IMUs 2 and 1, ω 1 is the angular velocity vector measured by IMU 1, and L 2,1 is the vector between IMUs 1 and 2.…”
Section: Centralized Filter Fusionmentioning
confidence: 99%
“…Thus, an object falling from a tower 100 meters high (for example, from the top of the Torre degli Asinelli in Bologna, Italy, which Riccioli used in his experiments), if it were at the equator, should be deflected eastward by approximately 3.3 centimeters; if it were at the poles, it would not be deflected at all. 15 This is a rough calculation-a modern calculation of the Coriolis force gives an eastward deflection of d & (2/3)(2p/T)cos(k)(2h 3 /g) 1/2 , where k is the latitude, 16 which yields an eastward deflection of 2.2 cm at the equator, 1.6 cm at 45°N latitude (Bologna), and zero at the poles. Thus, the eastward deflection is small but measurable, especially if the influence of air resistance is negligible when dropping dense, heavy bodies.…”
Section: Riccioli's ''Coriolis-force'' Argumentmentioning
confidence: 99%
“…If a rigid body has at least two symmetry axes that are not parallel or perpendicular to each other, it is a spherical top. 80 The more symmetric the structure is, the more S tends toward zero.…”
Section: Papermentioning
confidence: 99%