Hints: Cuspidation
Getting started:
These arrows started on left/top, and ended up on the right/bottom. The puzzle can be thought of as a logical puzzle, determining how the arrows reached their current positions in the state that they are in.
Stuck on middle cluephrase:
NEW TIMES OF LAUNCH suggests to use N = 14, E = 5, W = 23 etc. as new launch times for the arrows, and run the process again.