A coil is a continuous copper wire insulated (usually by a layer of special varnish) wound in a spiral shape (spool). When this wire, so wound, circulates an electric current, a strong magnetic field (electromagnet) will appear.
In the case of the electric motor, the magnetic field is so produced that it attracts the rotor by turning it.
Work Coil (Main Coil)
This coil generates a magnetic field that keeps the rotor in motion, remaining on as long as the compressor motor is energized.
Auxiliary Coil (Starting Coil)
This coil generates a magnetic field that causes the rotor to start and rotate, this coil must be turned off by the starting relay when the compressor rotor is rotating.