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As the shuttles move back and forth, each along its channel, all points on the rod move in elliptical paths. The motion of the rod is termed elliptical motion. The semi-axes a and b of the ellipses have lengths equal to the distances from the point on the rod to each of the two pivots.
the foot has to touch the ground for at least half of the cycle for a two/four leg mechanism [1] or respectively, a third of the cycle for a three/six leg mechanism; minimized moving mass; vertical center of mass always inside the base of support [1] the speed of each leg or group of legs should be separately controllable for steering [6]
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Lamé's stress ellipsoid is an alternative to Mohr's circle for the graphical representation of the stress state at a point.The surface of the ellipsoid represents the locus of the endpoints of all stress vectors acting on all planes passing through a given point in the continuum body.
An ellipse has two axes and two foci Unlike most other elementary shapes, such as the circle and square , there is no algebraic equation to determine the perimeter of an ellipse . Throughout history, a large number of equations for approximations and estimates have been made for the perimeter of an ellipse.
Examples include: [2] the wrist-joint; metacarpophalangeal joints; metatarsophalangeal joints; atlanto-occipital joints; These are also called ellipsoid joints. The oval-shaped condyle of one bone fits into the elliptical cavity of the other bone.
In mathematics, the Legendre forms of elliptic integrals are a canonical set of three elliptic integrals to which all others may be reduced. Legendre chose the name elliptic integrals because [1] the second kind gives the arc length of an ellipse of unit semi-major axis and eccentricity (the ellipse being defined parametrically by = (), = ()).
Although the eccentricity is 1, this is not a parabolic orbit. Most properties and formulas of elliptic orbits apply. However, the orbit cannot be closed. It is an open orbit corresponding to the part of the degenerate ellipse from the moment the bodies touch each other and move away from each other until they touch each other again.