  The synchrotron motion simulator is invented to simulate the longitudinal
motion for particles under RF (Radio Frequency) voltage field in a ring
accelerator. It is especially used to study the efficiency of adiabatic capture
for a booster ring. The purpose of adiabatic capture is to optimize RF voltage
settings during the ramping of beam energy and obtain the greatest efficiency
of particle capture. In this paper we study the longitudinal (synchrotron)
motion for particles in the TLS (Taiwan Light Source) booster. We compare the
properties of TLS booster as a proton or electron accelerator, using the same
ramping scenario of beam energy, and optimize the RF voltage settings to have
the best capture efficiency.
