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Library of Congress Catalog Card Number: 77-600056

National Bureau of Standards Monograph 155
Nat. Bur. Stand. (U.S.), Monogr. 155, 177 pages (Dec. 1977)
CODEN: NBSMA6

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402

Stock No. 003-003-01650-1 Price: $4 (Add 25 percent additional for other than U.S. mailing).

Time and its measurement is, simultaneously, very familiar and very mysterious. I suspect we all believe that the readings of our clocks and watches are somehow related to the sun's position. However, as science and technology developed, this relationship has come to be determined by a very complex system involving-just to name a few-astronomers, physicists, electronic engineers, and statisticians. And because time is both actively and precisely coordinated among all of the technologically advanced nations of the world, international organizations are also involved. The standard time-of-day radio broadcasts of all countries are controlled to at least 1/1000 of a second of each other; most time services, in fact, are controlled within a very few millionths of a second! The National Bureau of Standards (NBS) mounts a major effort in developing and maintaining standards for time and frequency. This effort tends to be highly sophisticated and perhaps even esoteric at times. Of course, most of the publications generated appear in technical journals aimed at specialized, technically sophisticated audiences.

I have long been convinced, however, that it is very important to provide a descriptive book, addressed to a much wider audience, on the subject of time. There are many reasons for this, and I will give two. First, it is very simply—a fascinating subject. Again, we often have occasion to explain the NBS time program to interested people who do not have a technical background, and such a book would be an efficient and-hopefully-interesting means of informing them. Finally, this book realizes a long-standing personal desire to see a factual and yet understandable book on the subject of time.

James A. Barnes
May 6, 1977

Preparation of this document was supported in part by the 1842nd Electronic Engineering Group, C2/DCS Division, Air Force Communications

Service.

I. THE RIDDLE OF TIME

1. The Riddle of Time

The Nature of Time/What Is Time?/Date, Time Interval, and Synchronization/Ancient
Clock Watchers/Clocks in Nature/Keeping Track of the Sun and Moon/Thinking Big
and Thinking Small-An Aside on Numbers

2. Everything Swings

Getting Time from Frequency/What Is a Clock?/The Earth-Sun Clock/Meter-Sticks to
Measure Time/What Is a Standard?/How Time Tells Us Where in the World We Are/
Building a Clock that Wouldn't Get Seasick

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11

II. MAN-MADE CLOCKS AND WATCHES

3. Early Man-Made Clocks

25

Sand and Water Clocks/Mechanical Clocks/The Pendulum Clock/The Balance-Wheel Clock/
Further Refinements/The Search for Even Better Clocks

4. "Q" Is for Quality

31

The Resonance Curve/The Resonance Curve and Decay Time/Accuracy, Stability, and
Q/High Q and Accuracy/High Q and Stability/Waiting to Find the Time/Pushing Q to
the Limit/More about Q-An Aside

5. Building Even Better Clocks

39

The Quartz Clock/Atomic Clocks/The Ammonia Resonator/The Cesium Resonator/One
Second in 370,000 Years/Atomic Definition of the Second/The Rubidium Resonator/The
Hydrogen Maser/Can We Always Build a Better Clock?

6. The "Correct Time" for the Man in the Street

49

Modern Mechanical Watches/Electric and Electronic Watches/The Quartz-Crystal Watch/
How Much Does "The Time" Cost?

III. FINDING AND KEEPING THE TIME

7. Time Scales

59

The Calendar/The Solar Day/The Stellar or Sidereal Day/Earth Rotation/The Continu-
ing Search for More Uniform Time: Ephemeris Time/How Long Is a Second?/"Rubber"
Seconds/The New UTC System and the Leap Second/The Length of the Year/The Keep-
ers of Time/U. S. Timekeepers/The Bureau International de l'Heure

8. The Clock behind the Clock

71

Flying Clocks/Time on a Radio Beam/Accuracy/Coverage/Reliability/Other Considera-
tions/Other Radio Schemes

79

9. The Time Signal on Its Way

Choosing a Frequency/Very Low Frequencies/Low Frequencies/Medium Frequencies/
High Frequencies/Very High Frequencies/Frequencies above 300 MHz/Noise-Addita-
tive and Multiplicative/Three Kinds of Time Signals

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vi

THE USES OF TIME

10. Standard Time

Standard Time Zones and Daylight-Saving Time/Time as a Standard/Is a Second Really a Second?/Who Cares about the Time?

11. Time, The Great Organizer

Electric Power/Modern Communication Systems/Transportation/Navigation by Radio Beacons/Navigation by Satellite/Some Common and Some Far-out Uses of Time and Frequency Technology

V

TIME, SCIENCE, AND TECHNOLOGY

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99

12. Time and Mathematics

113

Taking Apart and Putting Together/Slicing up the Past and the Future-Calculus/Conditions and Rules/Getting at the Truth with Differential Calculus/Newton's Law of Gravitation/What's Inside the Differentiating Machine?-An Aside

13. Time and Physics

123

Time is Relative/Time Has Direction/Time Measurement Is Limited/Atomic and Gravitational Clocks/The Struggle to Preserve Symmetry/The Direction of Time and Time Symmetries-An Aside

14. Time and Astronomy

135

Measuring the Age of the Universe/The Expanding Universe/Time Equals Distance/Big
Bang or Steady State?/Stellar Clocks/White Dwarfs/Neutron Stars/Black Holes/Time
Comes to a Stop/Time, Distance, and Radio Stars

15. Clockwork and Feedback

143

Open-Loop Systems/Closed-Loop Systems/The Response Time/System Magnification or
Gain/Recognizing the Signal/Fourier's "Tinker Toys"/Finding the Signal/Choosing a
Control System

16. Time as Information

Three Kinds of Time Information Revisited/Geological Time/Interchanging Time and
Location Information/Time as Stored Information/The Quality of Frequency and Time
Information

17. The Future of Time

Using Time to Increase Space/Time and Frequency Information-Wholesale and Retail/ Time Dissemination/Clocks in the Future/The Atom's Inner Metronome/Time Scales of the Future/The Question of Labeling—-A Second is a Second is a Second/Time through the Ages/What Is Time, Really?/Particles Faster than Light-An Aside

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