SimReal: Mathematics - Polar Coordinates - Simulation

Polar Curves

Write an expression of a polar curve in the data field 'r' (see examples below).
The polar curve will be drawn immediately.

Control objects:

r                  : Expression of a polar curve (parameter t)
tMin               : Minimum value of the parameter t (default 0)
tMax               : Maximum value of the parameter t (default 2*PI)
tCur               : Current value of the parameter t

r                  : Show the vector from origin to the point P on the polar curcve
Angle              : Show the angle in the polar expression
Txt                : Unused
Grid               : Show grid
Axis               : Show axis
Polar              : Polar (or general parametric curve)
Coord              : Change values on the coord axis
Origin             : Unused
Reset              : Unused
Scrollbar (small)  : Unused
Scollbar  (large)  : Move the point P on the curve

'Angle' is of great help to understand the direction of the polar curve when 'r' itself is negative.

Examples of polar curves:

01: r(t) = 2(1-cos(t))

02: r(t) = 3cos(2t)

03: r(t) = 0.1t

04: r(t) = 1/(1-0.7cos(t))

05: r(t) = 4sin(t)

06: r(t) = 4cos(t)

07: r(t) = 4/(2cos(t)-sin(t))

08: r(t) = 2cos(t)+1