A bit of caution may be required here.
Normally with the motor stopped for a reasonable period, the refrigerant pressure equalizes across the compressor. When the motor starts up, initially it sees zero back pressure.
As the motor quickly accelerates up to full running speed, the back pressure rises very steeply within a couple of seconds up to full working differential pressure.
Induction motors generally produce very low starting torque without a heavy start winding.
The problem is, that you cannot soft start a piston refrigeration compressor with an induction motor. It will simply stall against the steeply rising pressure at start up, then burn out with a locked rotor. It needs fast violent acceleration up to near synchronous speed before the back pressure can rise sufficiently to be a problem.
You can certainly try to reduce the inrush, and it may just work. But one day it may fail to start, and then the motor may be in trouble.
The expensive oscillating piston compressors now recommended for off grid use do not have this problem, because the amplitude of oscillation reduces under high back pressure but it can never completely stall into fully locked rotor the way an induction motor driven compressor can stall.
I know my own 120 watt capacitor start induction motor compressor has an inrush of 10.6 amps rms (2.5kW) and it takes fully two seconds to creep back down to 120 watts.
My home brew 1.8 kW sine wave inverter handles that inrush easily even with other loads.