Understanding Atomic Clock
How an atomic clock keeps time
Every atomic clock relies on the same principle: atoms of a chosen element absorb energy at one exact, unchanging frequency, and by locking an electronic oscillator to that frequency you get a 'tick' that barely drifts. Caesium is so dependable that the SI second is defined as 9,192,631,770 oscillations of its radiation. Navigation satellites fly three technologies, trading size, power and stability — including the passive hydrogen maser that anchors Europe's Galileo fleet:
| Clock type | Atomic reference | Flown on | Character |
|---|---|---|---|
| Caesium (Cs-133) | Hyperfine transition at 9,192,631,770 Hz — this defines the SI second | GPS, GLONASS | The long-term time standard; relatively bulky |
| Rubidium (Rb-87) | Hyperfine transition near 6.835 GHz | GPS, Galileo, BeiDou | Compact and low-power; mild long-term drift |
| Hydrogen maser (passive) | Hyperfine transition near 1.420 GHz | Galileo, BeiDou | Most stable day-to-day; ~1 s in 3 million years |
Why a billionth of a second decides your position
A satnav receiver never measures distance directly — it measures time. Each satellite broadcasts the exact instant its signal left; the receiver notes when it arrives; the gap times the speed of light gives the range (strictly a pseudorange, because the receiver's own inexpensive clock is imperfect). Light travels about 30 cm per nanosecond, so a one-nanosecond error becomes 30 cm of ranging error. A receiver needs at least four satellites: three to solve for latitude, longitude and height, and a fourth to cancel its own clock offset. How badly clock and geometry errors inflate the final fix is captured by the dilution of precision, and delivering trustworthy position, navigation and timing (PNT) is the entire reason the clocks must be this good.
Einstein rides along
Atomic clocks are so precise that Einstein's relativity becomes a daily engineering correction rather than a textbook curiosity. A GPS satellite orbits at about 20,200 km and 14,000 km/h, and two relativistic effects pull its clock opposite ways. Weaker gravity at altitude (general relativity) speeds the clock up by roughly 45 microseconds per day, while its orbital velocity (special relativity) slows it by about 7 — a net gain of around 38 microseconds every day. Left uncorrected, a position fix would be wrong within minutes and errors would accumulate at about 10 km per day. Engineers compensate by tuning each clock slightly low before launch — its 10.23 MHz reference is set to 10.22999999543 MHz — so that, seen from the ground, it ticks at exactly the right rate.