Collision detection model. (a) is the original polyhedron model; (b) is the new polyhedral model generated by interpolation of the original model; (c) is to detect which triangle the projection point P is on; (d) is to detect whether the ejecta E is inside or outside the quadrangular pyramid OACD , where E 1 is inside the polyhedron, E 2 is outside the polyhedron.

Contexts in source publication

Context 1

... the vertex coordinates of the polyhedral model are interpolated to generate a polyhedral model with uniform distribution of latitude and longitude, and the longitude lines and latitude lines are numbered ( Fig.4a and Fig.4b). Then convert the Cartesian coordinates of the position of ejecta to spherical coordinates (θ e , φ e , r e ), and use Eq.10 to calculate which of the two lines of longitude and latitude the projection of the ejecta on the model surface lies between ...

Context 2

... the vertex coordinates of the polyhedral model are interpolated to generate a polyhedral model with uniform distribution of latitude and longitude, and the longitude lines and latitude lines are numbered ( Fig.4a and Fig.4b). Then convert the Cartesian coordinates of the position of ejecta to spherical coordinates (θ e , φ e , r e ), and use Eq.10 to calculate which of the two lines of longitude and latitude the projection of the ejecta on the model surface lies between (Fig.4c). ...

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... N is the normal vector of △ACD. As shown in Fig.4d, − − → AE 2 projects positive on N , outside the polyhedron; − − → AE 1 projects negative on N , inside the polyhedron. ...

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... distribution of the relative acceleration from the surface of the secondary in the case of self-locking to the primary is given in Fig.14a (note that here we have converted the relative acceleration a r to the coordinate system B.), the arrows indicate the tendency of the matter to move and the colour ...

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... region with the greatest tendency to slip is distributed in the north direction and south direction at two apexes of the long axes. Fig.14b shows the relative acceleration from the surface of the secondary at a given moment in the 'flip' state. ...