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Sextant Simulator

Look through a working sextant at the real sky. The sun, moon, planets and 30 navigational stars are placed by a true ephemeris for the date and position, with refraction, dip, parallax and a rolling deck. Learn the instrument, then bring each body down to the horizon, rock the arc and mark.

How a sextant works

A sextant measures the angle between a celestial body and the horizon. Light from the body reflects off the index mirror, then off the half-silvered horizon mirror into the telescope, while the horizon is seen straight through the clear half. Moving the index arm turns the index mirror; because a mirror turned through an angle deflects a ray through twice that angle, the 60° arc is engraved from 0° to 120°.

Taking a sight

  1. Check the index error against the horizon before you start.
  2. For the sun, swing in the index shades first.
  3. Set the arc to zero, look at the body, then release the clamp and move the arm while you lower the sextant until the horizon appears.
  4. Fine-tune with the micrometer drum to put the lower limb (or a star) on the horizon.
  5. Rock the sextant gently: the body swings in an arc. Its lowest point is the true vertical. Mark the time at that moment.
  6. Read the arc, drum and vernier, and note the time to the second.

From sextant altitude to observed altitude

Error de índice:
The reading when the two horizon images line up. On the arc, subtract it; off the arc, add it.
Dip:
Your eye is above the sea, so the visible horizon lies below the true horizontal. Dip is about 1.76′ × √(height of eye in metres), always subtracted.
Refracción:
The atmosphere bends light down, lifting every body. It is about 34′ on the horizon, 5′ at 10° and under 1′ above 45°, always subtracted.
Semidiámetro:
The sun and moon are discs about 32′ across. Add 16′ for a lower-limb sight, subtract for the upper limb, to get the centre.
Paralaje:
You stand on the Earth's surface, not at its centre. Tiny for the sun (0.1′), but up to a degree for the moon: added.

One minute of altitude error moves the position line one nautical mile. At noon, latitude = 90° − Ho ± declination; from Polaris, latitude is the corrected altitude with a small correction for the star’s distance from the pole.

Positions here come from a low-precision ephemeris accurate to about an arcminute for the sun and stars. Use the Nautical Almanac for real navigation.

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