How to turn on the computer?

This computer has been working bad forty awhile now. Its still useful but every time I plug it in I have to position the cord a certain way Every time. Somtimes when I plug it in it does not turn on. The battery turns green and after about 20 seconds it starts blinking orange. The computer itself cannot be turned on without a charger. When its blinking I just want to know how to actually get it on. Thank you.