Three N-body simulations of massless particles captured in the 1/3 SOR under the effects of an ad hoc exterior dissipative force. The central body is represented by a spherical component plus a mass anomaly with $\overline{\mu }$ = 5 × 10⁻². Each simulation is characterized by a different value of 𝒦 = τ_a/τ_e, as shown in the legend in the top-left panel. Although all simulations lead to resonance capture in the 1/3 SOR, the final outcome is a strong function of 𝒦. For very weak eccentricity damping, the resonant orbit is unstable and the particle is ejected after its eccentricity surpasses e ~ 0.3. Stable orbits are found for larger values of 𝒦, although in different libration modes. A very strong eccentricity damping is required for a symmetric libration around σ = π. Weaker damping leads to asymmetric librations. Note that both asymmetric lobes are populated, though only temporarily for one of them.