RELAY — TECHNICAL FIELD GUIDE / ТЕХНИЧЕСКИЙ СПРАВОЧНИК
PHASETHE IDEA
ALTITUDE—
PERIOD—
← INDEX — FIG. 00 — 35,786 KM · 23 H 56 MIN 4 S · 0° T² = 4π² a³ / GM

RELAY
TELSTAR, SYNCOM & THE GEOSTATIONARY IDEA

In July 1962 the first live television pictures crossed the Atlantic by satellite.

BEGIN — CHAPTER 01 →
CH.01 / 08 — A TOWER THAT ISN'T THERE

An orbit that turns with the Earth

Potočnik put his station 35,900 km up [1].

Clarke, 1945: three stations, 42,000 km [2].

KEPLER'S THIRD LAW, SOLVED FOR ONE TURN OF THE EARTH
a = (GM T² / 4π²)1/3  ·  T = 2π / ω⊕ = 86,164.1 s  →  a = 42,164.2 km
GM and ω from IERS.
CH.02 / 08 — ONE SIDEREAL DAY

Higher is slower

Below GEO the satellite drifts east, above it drifts west.

Echo 1, Telstar and Relay 1 on the same curve.

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Altitude above the equatorial radius.

CH.03 / 08 — ECHO AND TELSTAR

Eighteen minutes at a time

Echo 1 reflected; Telstar amplified.

Andover, Pleumeur-Bodou, 18 minutes.

Telstar's real orbit, one day.

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Model note.

Starfish Prime killed Telstar [6].

Relay 1 mapped the belts [7].

CH.04 / 08 — SYNCOM AND EARLY BIRD

Twenty-four hours, and then zero degrees

Syncom 2: geosynchronous, tilted 33° [8].

Syncom 3: geostationary, Tokyo 1964 [9].

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Left alone, the tilt grows to ~15° over 53 years [18].

Inclined orbits need tracking antennas.

Track note.

CH.05 / 08 — THE SOVIET ANSWER

Molniya: twelve hours, mostly in the north

GEO is low in the northern sky.

Molniya-1, 1965; Orbita, 1967 [12][14].

WHY 63.4°: THE BULGE TURNS THE PERIGEE, EXCEPT AT ONE TILT
dω/dt = (3/4) n J₂ (R/p)² (5 cos² i − 1) = 0  ⇔  cos² i = 1/5  ⇔  i = 63.43°
Critical inclination.
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Molniya model note.

CH.06 / 08 — THE BELT TODAY

A third of the world, a quarter of a second away

Footprint: 42 % of Earth; three satellites overlap.

Delay: 0.24–0.28 s one way.

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Station-keeping box: 0.05° ≈ 37 km [20].

568 active geosynchronous satellites (October 2026) [21].

CH.07 / 08 — FROM A TOWER TO A RING

Sixty years of relays

Telstar proved it could be done; Syncom proved it could be done standing still.

CH.08 / 08 — REFERENCES

Sources cited throughout this guide