The energy flux of the Sun at the orbit of the Earth (i.e., at 1:5 × 108 km) is equal to ∼ 103 J=m2s. Consider a tiny dust particle of radius r and density ρ at a distance R away from the Sun. Suppose the particle is at rest in the rest-frame of the Sun and absorbs all the radiation shone upon it. Find the threshold radius rc of the particle for which the force of the Sun on the particle vanishes. Show that rc is independent of R. For particles with radii smaller than rc the solar wind dominates the gravity of the Sun and the radiation pressure directs them out of the solar system. Find rc for a particle with density ρ = 2 g=cm3.1

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The energy flux of the Sun at the orbit of the Earth (i.e., at 1:5 × 108 km) is equal to ∼ 103 J=m2s. Consider a tiny dust
particle of radius r and density ρ at a distance R away from the Sun. Suppose the particle is at rest in the rest-frame of the
Sun and absorbs all the radiation shone upon it. Find the threshold radius rc of the particle for which the force of the Sun
on the particle vanishes. Show that rc is independent of R. For particles with radii smaller than rc the solar wind dominates
the gravity of the Sun and the radiation pressure directs them out of the solar system. Find rc for a particle with density
ρ = 2 g=cm3.1

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