The decade-scale evolution profile of short-burst pulses, observed previously in 4U 0142+61, emerges from mean spectra of mission-integrated Galileo-Cassini-Juno 1996-2020 annual orbiting samplings of Jupiter ⪅8nT global magnetic field. The profile is obtained by temporally mapping hyperlow-frequency (<1μHz) dynamics of the magnetospheric signature of solar wind's Rieger-resonance perturbations in ~0.2-2 zeV, here used as a proxy of magnetoactivity. The 1-6 month (385.8-64.3 nHz) mechanical resonance of solar wind is impressed onto the Jovian magnetosphere entirely and encompassed the Rieger period P Rg = 154 days and first six harmonics: 5