Evolution of allowable regions on the surface of the asteroid caused by three collisions. The value of C₀ = −0.1377 J kg⁻¹ corresponds to the Jacobi integral of the particle at the initial moment, whereas C₁ = −0.1381 J kg⁻¹ C₂ = −0.1384 J kg⁻¹ and C₃ = −0.1387 J kg⁻¹ correspond to its Jacobi integral after three collisions, respectively. The semi-transparent gray surface represents the zero-velocity surface, and the yellow line represents the intersection of the zero-velocity surface and the asteroid surface. The red region corresponds to the unstable region. Regions protruding out of the zero-velocity surface and encompassed by yellow lines indicate the allowable regions on the surface of the asteroid.