Problem 3.5 Show that the trajectories around a spiral fixed point form a logarithmic spiral. 3 Regular motion 63 Fig. 3.9. Spiral attractor and its neighbourhood. 4 The dashed line shows the ellipse of the frictionless trajectory. The parameters and the initial conditions are the same as in Fig. 3.8. -6 -5 -4 3 5 -2 -3 4: 4. + 2.

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Problem 3.5 Show that the trajectories around a spiral fixed point form
a logarithmic spiral.
3 Regular motion
63
Fig. 3.9. Spiral attractor
and its neighbourhood.
4
The dashed line shows the
ellipse of the frictionless
trajectory. The parameters
and the initial conditions
are the same as in Fig. 3.8.
-6 -5 -4
3
5
-2
-3
4:
10
1
4
7
8 9 10
11
6.
--5
-10
4.
+ 2.
2.
Transcribed Image Text:Problem 3.5 Show that the trajectories around a spiral fixed point form a logarithmic spiral. 3 Regular motion 63 Fig. 3.9. Spiral attractor and its neighbourhood. 4 The dashed line shows the ellipse of the frictionless trajectory. The parameters and the initial conditions are the same as in Fig. 3.8. -6 -5 -4 3 5 -2 -3 4: 10 1 4 7 8 9 10 11 6. --5 -10 4. + 2. 2.
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