Parametric Curve(s)

$$$ \forall\alpha\in\{0,2\pi\}\quad\; k_{a}\in \mathbb{N}\quad1\leqslant\;k_{a}\;\leqslant5\quad\;$$$
$$$ \left \{ \begin{array}{r c l} \theta(\alpha)& = &\cos^{k_{a}}{(\alpha)} \\ r(\alpha)& = &0.24\times\sin{\alpha} \end{array}\right .$$$