It has been shown that double cross-polarization can be achieved efficiently with the satellite-transitions of half-integer quadrupolar nuclei using a selective ST spinlock. The offset from the large modulating first-order quadrupolar coupling has been treated in the quadrupolar jolting frame leading to a scaled effective rf field with the phase of the satellite-transition spinning sidebands near the rf frequency. The phase spread for the effective rf field usually causes signal cancellation for single-step excitation or CP but the cancellation does not occur for double CP. As a result, highly efficient HETCOR spectra can be obtained for the satellitetransitions as demonstrated for the 35 Cl nuclei in hist via protons under fast MAS. Satellitetransitions can provide additional information to the usually acquired central-transition spectra with careful magic-angle calibration. For spin S = 3/2 quadrupolar nuclei such as 35 Cl, the satellite-transition coherence can be converted efficiently to double-quantum satellite-transitions, which have nearly isotropic spectral resolution. Ultrafast MAS is important to these experiments not only for improved 1 H spectral resolution and sensitivity, but also for optimal double-quantum cross polarization condition to satellite-transitions with minimal loss from rotary resonance effects to the spinlock.