On transverse mode coupling instability in the VLHC

We present the results of calculation of transverse mode coupling instability (TMCI) thresholds for Very Large Hadron Collider (VLHC). The estimates are done with use of conventional approach and more sophisticated mode dynamics analysis. We found the RF system parameters which allows to get appropriate TMCI threshold number of particles per bunch and attain high luminosity of the collider. Alternative ways to raise the threshold are briefly discussed.