Laptop doesn't start after being shutdown for a couple of hours except when connected to power

I'm using an HP Compaq 6530b laptop and for a year or more now, my laptop doesn't start after it has been shut down, hibernated, or even after removing the battery for a few hours, and only happens when my laptop has been off for ~2hrs or more: Anytime I try to turn it on, the power LED comes on and the charging led blinks for a few seconds before they both turn off; the only way I can turn on the laptop is to connect it to power, let it charge for a minute, disconnect the charger, click the power button, and connect the charger as the led light is blinking My battery is not dead because when

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