The Multiple Orbits window is opened by
selecting the Multiple Orbits option from the Panels menu button located
in the Command window. The user selects a region of the product of the phase space and
parameter space centered about the point specified in the Selected Point window.
The user may specify that points be chosen on a regular grid inside
the region or only on the boundary.
In the former case, a ``box'',
including its interior, is selected.
The dimension of the box depends on the number of coordinates which have Number
of points specified greater than 1. The total number of points will be the product
of the values in the Number of points fields. In the latter case, the points will
form only the outline of a rectangle in two dimensions. The two dimensions
selected will be the first two coordinates in the list with the Number of points
specified greater than 1. If there is only one coordinate with Number of points
greater than 1, then the a line segment is selected. If all the Number of points
fields are set to 1, then only the point specified in the Selected Point window
is selected.
Each edge of the set of selected points is discretized by the Number of points
specified for the associated coordinate, and has length twice the value of the Radius field
for that coordinate.
If a transformation other than Identity is selected, then each of these points will
be passed through this filter. Transformations may be defined so that these points
can be projected onto some submanifold of the whole space or to
create arrays of points which are not in the form of a ``box''.
Initial multiple points may also be loaded by using the mouse interface.
Dragging the SELECT button while holding down CONTROL in a 2-D View
window will draw a rectangle
in the viewing canvas. Upon release of the mouse button, a notice will
appear allowing the user two choices. The selections are Load IC's and
Cancel. If the user selects Load IC's, the appropriate Radius fields on the
Multiple Orbits window are changed, and the new initial conditions are loaded.
However, no orbits are computed. If the user selects Cancel, no action is taken.