compresor on /off continusly

Air conditioning  switch in auto position  compressor continuously  On/off. 

Could I get a aircraft type and possibly a schematic?

  Aircraft -Cessna CJ2

Bypass "Binary Pressure Switch" (Jumper it with CB-2 pulled as this is a hot circuit).

The coil in "Motor Power Relay" might be going bad (Opening when hot - closing when cold).

I would think the second is probably more correct. Pull CB-1 and put a meter across the power contacts of relay. See if it opens and closes continuously. That diode shown below the power relay is a Suppression Diode , it could be breaking down also. Most are built into the relay itself.... if not, one side of it can be disconnected for testing purposes.

You said "Auto" position. I see no "auto" on your print.

    please check this wiring diagram it include Auto switch and other signal to turn on/off  compressor

There is a little more going on as shown on the second print.

I would still stick with what I mentioned above as a first step.

You can backtrack on the compressor control relay coil for 28 VDC. It has a hard wired ground, so there is nothing to follow on the ground side.

First stop is the binary pressure switch. Is 28 present? Is it cycling?

If cycling, move upstream to PT040 or the Evap Fan Freeze Protection Switch. Is 28 present? Is it cycling?

Next up is K2.... Is 28 present at Pin 15? Is it cycling? Is the cycling caused by the relay? If so,change paths and follow that relay voltage.

Let the VOM tell you where the problem is. A schematic or wiring print is just a road map. Somewhere, there's a back-up, blockage, break..... seek the problem out.

The condensor motor was found faulty sir 
what thumb rule you follow during troubleshooting.