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In 1898, Ernest Duporcq stated a famous theorem about rigid-body motions with spherical trajectories, without giving a rigorous proof.
Usual state vector choices are Cartesian coordinates for ascent trajectories, orbital parameters for orbital transfers, spherical coordinate for reentry trajectories.
For spherical flame propagation, the trajectory is shown to change significantly with the fuel Lewis number and a C-shaped solution curve of flame propagation speed as a function of flame radius is observed for large fuel Lewis numbers.
Emphasis focuses on the trajectories of spherical and cylindrical particles in the furnace.
This metric is based on comparing the fraction of time spent by the trajectories in spherical sets to the measure of the spherical sets.
Considering the distribution of the angles of Abp1 trajectories, the spherical geometry of the cells and the depth of field we estimated that these projection effects would lead maximally to about 10% underestimation of the true movement along the invagination axis.
By plugging in a variety of factors, including the original heading, density, and velocity, they could predict the trajectory of any spherical object shot into the water, they report online today in the New Journal of Physics.
This paper develops a shape-based method based on a Fourier series approximation that is capable of representing trajectories defined in spherical coordinates and that enforces thrust constraints.
Note that classes of points are visually and linearly discriminated from each other; (c) representation of point clouds as homogeneous spherical distributions around the mean trajectories of the left hand.
This paper also describes a new nonlinear kinematic controller that allows the spherical capsule to track an arbitrary trajectory.
It has shown that the designed Stewart platform can satisfy the requirement of feed source trajectory control of large spherical radio telescope.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com