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+### Statement
+
+$12.1.24.$ [Insert the problem statement]
+
+### Solution
+
+$12.1.24$ Estimate the maximum size of aluminum dust particles that would move away
+from the Sun in outer space under the pressure of solar radiation.
+
+The power radiated by the Sun is $P$, so the intensity of the radiation at a distance $r$ from the Sun is:
+
+\begin{equation}
+ I = \frac{P}{4 \pi r^2}
+\end{equation}
+
+Thus, the pressure exerted by the light on the dust particle is:
+
+\begin{equation}
+ \mathcal{P} = 2 \frac{I}{c} = \frac{P}{4 \pi r^2 c}
+\end{equation}
+
+The corresponding force is:
+
+\begin{equation}
+ F = 2 \pi r_1^2 \mathcal{P} = \frac{P r_1^2}{2 r^2 c}
+\end{equation}
+
+This force must be at least equal to the gravitational force:
+
+\begin{equation}
+ F = \frac{G M_s m_d}{r^2} \quad \text{where} \quad m_d = \rho \frac{4 \pi r_1^3}{3}
+\end{equation}
+
+Finally:
+
+\begin{equation}
+ \frac{G M_s m_d}{r^2} = \frac{P r_1^2}{4 r^2 c} \rightarrow r_1 = \frac{3 P}{8 \pi M_s G c \rho} \approx 1 \, \mu\text{m}
+\end{equation}
+
+#### Answer
+
+[Insert a concise answer or boxed result]