In the world of atoms and particles, everything tends toward rest: particles lose energy, just as a swing slows down due to energy loss (friction). But many devices — from hydrogen masers to atomic clocks — live by repetitive cycles. To sustain them, precise external pushes are needed — short laser pulses delivered at exactly calculated moments.

Previously, finding such pushes resembled trying to swing by random pushes: computers spent hours simulating thousands of steps until the system settled into a steady rhythm. The new method calculates pulses for only a few control positions — as if knowing that three precise pushes at the right points on the arc will keep the swing going forever. This trick dramatically speeds up calculations, turning them into a routine optimization problem.

The surprise is that the mathematical secret is borrowed from space navigation: there too, trajectories are built through reference points. The algorithm already lives in the Spinach library and helps create ultra-stable quantum computers and sensors, where each 'push' must be flawless.