On 23 September your 1836 DR position is LAT 25°18'S, LONG 162°36'E. You observe an unidentified star bearing 148°T at an observed altitude (Ho) of 13°32'. The chronometer reads 07h 34m 12s, and is 01m 54s slow. Which star did you observe?
Official USCG Answer & Rule Citation
Correct Answer: Option D — Achernar
Calculate the Greenwich Hour Angle (GHA) of Aries and the Sidereal Hour Angle (SHA) of the body using the Nautical Almanac. By applying the DR longitude to the GHA Aries, determine the Local Hour Angle (LHA) and declination. Comparing these coordinates against the star list identifies Achernar as the correct celestial body.
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