Distribution of the RF System in a Very Large Lepton Collider

The consequences for the beam dynamics are discussed of concentrating the radio-frequency accelerating system of a very large circular e+e- collider VLLC in a few places around the circumference. As specific example, a VLLC with four long straight sections with RF systems and possibly interaction points and four arcs is used. At 184 GeV beam energy, each RF system accelerates the two beams by about 1 GeV, and causes energy variations between +/- 0.27 % around the circumference. By arranging the RF systems symmetrically around the interaction points, the centre-of-mass energies there are all equal to twice the beam energy. In a VLLC model without low-beta insertions, the effects of this sawtooth energy variation on the mismatch of the horizontal orbit and dispersion, and the amplitude functions are all rather small.