To make the brine I combined in a large plastic container the water, lemon juice, sugar, kosher salt, star anise, toasted anise seeds, bay leaves and peppercorns. Stir until the sugar and salt dissolve.
Place the pork chops in the brine. Seal the container and refrigerate overnight.
Remove the pork chops from the refrigerator at least 30 minutes before you plan to begin grilling to bring to room temperature. Discard the brine, rinse the chops briefly in cold water and pat dry with paper towels.
Melt the butter and coat the dried chops. Season with cracked pepper.
Preheat grill to 400°.
Brush and oil the grill grates, place the pork chops on the grill over the direct-heat area and sear, turning once, until nicely grill-marked on both sides, 2 to 3 minutes per side.
Drop temp to 350° and cook until the pork chops are somewhat firm to the touch about 15 minutes more for medium. Transfer the chops to a platter and let rest for 10 minutes.