Severity of the weakening of Earth’s resonant ring through other planets, with respect to β. Top: maximum overdensity of the azimuthal average (σ_AA, max) and maximum overdensity of the trailing enhancement (σ_TB, max) of the resonant ring of Earth are given for the nominal case (all 8 planets present) and for Earth as a single planet. The impact of the other planets of the Solar System increases with β, reaching a reduction of overdensities of more than 50% at β = 0.01. Bottom: ratio of maximum density of the trailing enhancement to maximum density of the azimuthal average. A decline towards lower β in the nominal case indicates a reduction of the ring’s leading–trailing asymmetry.