Option 1 Direct Solar
Solar Panel
DC Pump (connected directly to the solar panel)
note: only works when the sun is shining
Option 2
Solar Panel
Battery
DC Pump (connected to battery)
note: will work day/night
Option 3
Solar Panel
Battery
Inverter
AC Pump (connected to inverter)
note: will work with any pump day/night
Lets expand on option 3,
AC Pump (the one you have that is listed as 375W (1/2HP). Run time = twice weekly, 1hrs each time
Inverter 400W, but then we have to think about surge power required for motor, so maybe 1000W
Battery 2000WHr
Solar Panel 160W (12V) or a regular 250W (24V)
Clarifying Questions:
Can you check and report how much watts your pump uses, it will affect the rest of the system