Atomic clocks, which lock the frequency of an oscillator to the extremely stable quantized energy levels of atoms, are essential for navigation applications such as deep space exploration1 and global navigation satellite systems2, and are useful tools with which to address questions in fundamental physics3,4,5,6. Such satellite systems use precise measurement of signal propagation times determined by atomic clocks, together with propagation speed, to calculate position. Although space atomic clocks with low instability are an enabling technology for global navigation, they have not yet been applied to deep space navigation and have seen only limited application to space-based fundamental physics, owing to performance constraints imposed by the rigours of space operation7. Methods of electromagnetically trapping and cooling ions have revolutionized atomic clock performance8,9,10,11,12,13. Terrestrial trapped-ion clocks operating in the optical domain have achieved orders-of-magnitude improvements in performance over their predecessors and have become a key component in national metrology laboratory research programmes13, but transporting this new technology into space has remained challenging. Here we show the results from a trapped-ion atomic clock operating in space. On the ground, NASA’s Deep Space Atomic Clock demonstrated a short-term fractional frequency stability of 1.5 × 10−13/τ1/2 (where τ is the averaging time)14. Launched in 2019, the clock has operated for more than 12 months in space and demonstrated there a long-term stability of 3 × 10−15 at 23 days (no drift removal), and an estimated drift of 3.0(0.7) × 10−16 per day. Each of these exceeds current space clock performance by up to an order of magnitude15,16,17. The Deep Space Atomic Clock is particularly amenable to the space environment because of its low sensitivity to variations in radiation, temperature and magnetic fields. This level of space clock performance will enable one-way navigation in which signal delay times are measured in situ, making near-real-time navigation of deep space probes possible18.
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Thornton, C. L. & Border, J. S. Radiometric Tracking Techniques for Deep-Space Navigation (Wiley-Interscience, 2003).
Mallette, L. A., White, J. & Rochat, P. Space qualified frequency sources (clocks) for current and future GNSS applications. IEEE/ION Position Locat. Navig. Symp. (Online), https://doi.org/10.1109/PLANS.2010.5507225 (2010).
Prestage, J. D., Tjoelker, R. L. & Maleki, L. Atomic clocks and variations of the fine structure constant. Phys. Rev. Lett. 74, 3511 (1995).
Safronova, M. S. The search for variation of fundamental constants with clocks. Ann. Phys. 531, 1800364 (2019).
McGrew, D. et al. Atomic clock performance enabling geodesy below the centimetre level. Nature 564, 87 (2018).
Hees, A., Guéna, J., Abgrall, M., Bize, S. & Wolf, P. Searching for an oscillating massive scalar field as a dark matter candidate using atomic hyperfine frequency comparisons. Phys. Rev. Lett. 117, 061301 (2016).
Vessot, R. F. C. et al. Test of relativistic gravitation with a space-borne hydrogen maser. Phys. Rev. Lett. 45, 2081 (1980).
Prestage, J. D., Dick, G. J. & Maleki, L. Linear ion trap based atomic frequency standard. IEEE Trans. Instrum. Meas. 40, 132 (1991).
Cutler, L. S., Giffard, R. P. & McGuire, M. D. A trapped mercury 199 ion frequency standard. In Proc. 13th Annual Precise Time and Time Interval (PTTI) Applications and Planning Meeting, 563–577 (Institute of Navigation, 1981).
Tjoelker, R. L. et al. A mercury ion frequency standard engineering prototype for the NASA deep space network. In Proc. 50th IEEE International Frequency Control Symposium, 1073–1081 (IEEE, 1996).
Burt, E. A., Diener, W. A. & Tjoelker, R. L. A compensated multi-pole linear ion trap mercury frequency standard for ultra-stable timekeeping. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 55, 2586 (2008).
Hinkley, N. et al. An atomic clock with 10−18 instability. Science 341, 1215 (2013).
Brewer, S. M. et al. 27Al+ quantum-logic clock with a systematic uncertainty below 10−18. Phys. Rev. Lett. 123, 033201 (2019).
Tjoelker, R. L. et al. Deep Space Atomic Clock (DSAC) for a NASA Technology Demonstration Mission. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 63, 1034–1043 (2016).
Lutwak, R., Emmons, D., Garvey, R. M. & Vlitas, P. Optically pumped cesium-beam frequency standard for GPS-III. In Proc. 33rd Annual Precise Time and Time Interval (PTTI) Applications and Planning Meeting, 19–30 (Institute of Navigation, 2001).
Riley, W. J. Rubidium atomic frequency standards for GPS block IIR. In Proc. 22nd Annual Precise Time and Time Interval (PTTI), 221–230 (Institute of Navigation, 1990).
Droz, F. et al. Space passive hydrogen maser—performances and lifetime data. In Proc. 2009 IEEE International Frequency Control Symposium Joint with the 22nd European Frequency and Time Forum, 393–398 (IEEE, 2009).
Seubert, J., Ely, T. & Stuart, J. Results of the deep space atomic clock deep space navigation analog experiment. In Proc. AAS/AIAA Astrodynamics Specialist Conference (American Astronomical Society, in the press).
Codik, A. Autonomous navigation of GPS satellites: a challenge for the future. J. Inst. Navig. 32, 221–232 (1985).
Dehmelt, H. G. Monoion oscillator as potential ultimate laser frequency standard. IEEE Trans. Instrum. Meas. IM-31, 83–87 (1982).
Liu, L. et al. In-orbit operation of an atomic clock based on laser-cooled 87Rb atoms. Nat. Commun. 9, 2760 (2018).
Tjoelker, R. L. et al. Mercury atomic frequency standards for space-based navigation and timekeeping. In Proc. 43rd annual Precise Time and Time Interval (PTTI) Systems and Applications Meeting, 209–304 (Institute of Navigation, 2011).
Prestage, J.D., Chung, S., Le, T., Lim, L., and Maleki, L. Liter sized ion clock with 10−15 stability. In Proc. Joint IEEE IFCS and PTTI, 472–476 (IEEE, 2005).
Prestage, J. D. & Weaver, G. L. Atomic clocks and oscillators for deep-space navigation and radio science. Proc. IEEE 95, 2235–2247 (2007).
Ely, T. A., Seubert, J. & Bell, J. in Space Operations: Innovations, Inventions, and Discoveries, 105–138 (American Institute of Aeronautics and Astronautics, Inc., 2015).
Ely, T. A., Burt, E. A., Prestage, J. D., Seubert, J. M. & Tjoelker, R. L. Using the Deep Space Atomic Clock for navigation and science. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 65, 950–961 (2018).
Prestage, J. D., Dick, G. J. & Maleki, L. New ion trap for frequency standard applications. J. Appl. Phys. 66, 1013 (1989).
Prestage, J. D., Tjoelker, R. L. & Maleki, L. Higher pole linear traps for atomic clock applications. In Proc. 1999 Joint European Frequency and Time Forum and IEEE International Frequency Control Symposium, 121–124 (IEEE< 1999).
Dicke, R. H. The effect of collisions upon the Doppler width of spectral lines. Phys. Rev. 89, 472 (1953).
Enzer, D., Diener, W., Murphy, D., Rao, S. & Tjoelker, R. L. Drifts and environmental disturbances in atomic clock subsystem: quantifying local oscillator, control loop, & ion resonance interactions. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 64, 623–633 (2017).
Ely, T. A., Murphy, D., Seubert, J., Bell, J. & Kuang, D. Expected performance of the Deep Space Atomic Clock Mission. In Proc. AAS/AIAA Space Flight Mechanics Meeting, 807–826 (American Astronomical Society, 2014).
Howe, D. A., Allan, D. W. & Barnes, J. A. Properties of signal sources and measurement methods. In Proc. 35th Annual IEEE Symposium on Frequency Control, 1–47 (IEEE, 1981).
Dick, G. J. Local oscillator induced instabilities in trapped ion frequency standards. In Proc. 19th Precise Time and Time Interval Symposium, 133–147 (Institute of Navigation, 1987).
Larson, K. M. & Levine, J. Time transfer using the phase of the GPS carrier. In Proc. 1998 IEEE International Frequency Control Symposium, 292–297 (IEEE, 1998).
Bertiger, W. et al. Single receiver phase ambiguity resolution with GPS data. J. Geod. 84, 327–337 (2010).
Petit, G. Sub-10−16 accuracy GNSS frequency transfer with IPPP. GPS Solut. 25, 22 (2021).
Larson, K. M., Ashby, N., Hackman, C. & Bertiger, W. An assessment of relativistic effects for low earth orbiters: the GRACE satellites. Metrologia 44, 484 (2007).
Prestage, J. D., Tjoelker, R. L., Dick, G. J. & Maleki, L. Doppler sideband spectra for ions in a linear trap. In Proc. IEEE International Frequency Control Symposium, 148–154 (IEEE, 1993).
Tjoelker, R. L., Prestage, J. D., Dick, G. J. & Maleki, L. Long term stability of Hg+ trapped ion frequency standards. In Proc. 1993 IEEE International Frequency Control Symposium, 132–138 (IEEE, 1993).
Burt, E. A. & Tjoelker, R. L. Prospects for ultra-stable timekeeping with sealed vacuum operation in multi-pole linear ion trap standards. In Proc. 39th Annual Precise Time and Time Interval Systems and Applications Meeting, 309–316 (Institute of Navigation, 2008).
Chung, S. K., Prestage, J. D. & Tjoelker, R. L. Buffer gas experiments in mercury (Hg+) ion clock. In Proc. IEEE International Frequency Control Symposium, 130–133 (IEEE, 2004).
Yi, L., Taghavi-Larigani, S., Burt, E. A. & Tjoelker, R. L. Progress towards a dual-isotope trapped mercury ion atomic clock: further studies of background gas collision shifts. In Proc. 2012 IEEE International Frequency Control Symposium, 1–5 (IEEE, 2012).
Shen, G. L. The pumping of methane by an ionization assisted Zr/Al getter pump. J. Vac. Sci. Technol. A 5, 2580 (1987).
Konradi, A., Badhwar, G. D. & Braby, L. A. Recent space shuttle observations of the South Atlantic Anomaly and the radiation belt models. Adv. Space Res. 14, 911–921 (1994).
Ginet, G. P., Madden, D., Dichter, B. K. & Brautigam, D. H. Energetic Proton Maps for the South Atlantic Anomaly. In Proc. 2007 IEEE Radiation Effects Data Workshop, 1–8 (IEEE, 2007).
Jerde, R. L., Peterson, L. E. & Stein, W. Effects of high energy radiations on noise pulses from photomultiplier tubes. Rev. Sci. Instrum. 38, 1387 (1967).
This work is jointly funded by NASA’s Space Technology Mission Directorate (STMD) office and the office of Space Communications and Navigation (SCaN). The research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004). Copyright 2020, California Institute of Technology. Government sponsorship acknowledged.
The authors declare no competing interests.
Peer review information Nature thanks Pascale Defraigne, Ekkehard Peik and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Extended data figures and tables
The GPS receiver (Rcv.) is not shown.
The S1/2, F = 1 to P1/2, F = 1 optical electric dipole transition used for state preparation and readout is shown in purple (note that the source of this light is broad enough to not resolve Zeeman sublevels, so the line is meant to indicate any transition between the S1/2 F = 1 and P1/2 F = 1 manifolds that is consistent with selection rules). Also shown are the S1/2, F = 0, mF = 0 to S1/2, F = 1, mF = 0 magnetic-field-insensitive 40.5-GHz hyperfine clock transition (thick black arrow), and the ΔmF = ±1 field-sensitive Zeeman lines at ±140 kHz (thin black arrows).
Allan deviation without any corrections (red), with relativity corrections but no temperature corrections (green), and with both relativity and temperature corrections (black). Simulated expected clock performance with clock parameters during the run with environmental perturbations (solid blue) and without (dashed blue) is shown for comparison. All traces except the blue are overlapping Allan deviation. For reference, the orbital period of about T = 6,000 s will result in expected peaks in the Allan deviation at 0.37T ≈ 2,200 s (ref. 30).
Extended Data Fig. 4 Variations in the Earth’s magnetic field observed on the DSAC spacecraft as a function of time.
The orbital period is approximately 6,000 s at an altitude of 720 km. The component of the fieldin the weakest shielding direction is plotted. Shielding in the other two directions is over an order of magnitude higher so that the impact of variations on the clock is dominated by the component shown.
The Allan deviation of the frequency shift associated with measured magnetic field variations on board the DSAC spacecraft is shown (red) assuming a worst-case sensitivity of 7 × 10−16 μT−1. Reference lines are also shown for expected multipole trap (dashed blue) and load trap (dashed black) operation noise floors (without LO noise aliasing effects for the multipole trap line). Error bars represent 68% confidence intervals.
Signal size is the number of PMT counts measured at the line centre minus the counts at a detuning of one linewidth corresponding to the first minimum in a Rabi line trace. The slope gives an estimate of the number-dependent second-order Doppler shift while operating in the load trap. As a point of reference, the corresponding shift in the multipole trap would be 10–20 times smaller.
Residuals are now plotted against temperature in the load trap. A linear fit gives a total temperature sensitivity of −2.3(1.1) × 10−15 °C−1.
Temperature data shown for the 52-day dataset described in the main text. a, Long-term temperature variation in the load trap over 52 days correlated with changes in Sun beta angle. b, A 5-day subset showing 24-h temperature variations. c, A 1-day subset showing orbital temperature variation.
Frequency data with the temperature effect removed (black dots) and fitted to a straight line (blue line), so as to place a limit of 4.6 × 10−16 per day on frequency shifts due to trace-gas evolution in the clock vacuum chamber.
Total PMT counts in 8.1-s portions of each clock cycle as a function of time, showing excess counts due to passage through the SAA. Each passage is approximately 20 min, as shown for the expanded view (inset). The varying peak amplitude is due to spacecraft orbital precession, which varies the trajectory of the spacecraft in and out of the SAA on a daily timescale.
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Burt, E.A., Prestage, J.D., Tjoelker, R.L. et al. Demonstration of a trapped-ion atomic clock in space. Nature 595, 43–47 (2021). https://doi.org/10.1038/s41586-021-03571-7
Nature Reviews Physics (2021)