From Shining Moon Wikipedia
Every 1 hour that you are online you get 2 cashpoints.
Every 2 hours that you are online you get 1 Moonlight Coin.
Note 1: The hours you're online count upwards. You are online 1 hour today and 1 tomorrow = 2 hours total.
Note 2: Venders are a special case, they're inside the hourly counting table but differently counted and rewarded.
Note 3: Relogging or disconnecting resets the timer.
Note 4: This has no limitation to IP.