On 28 April your vessel's 0515 zone time...

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Question 1 of 2066636eea28f7522a1c51adc2

On 28 April your vessel's 0515 zone time position is LAT 23° 26' S, LONG 95° 30' E. At this time, the observed altitude (Ho) of the star Rigil Kentaurus is 24° 51.4'. Your chronometer reads 11h 16m 36s and is 01m 18s fast. What is theintercept (a) based on the assumed position method?

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🔍 Key Concepts

• Assumed position (AP) for intercept method (rounding latitude and LHA) • Relationship between Ho, Hc, and intercept: "intercept = difference in minutes of arc between Ho and Hc" • Finding the star’s GHA and Dec at the correct UTC using chronometer time and correction

💭 Think About

• How do you turn the given chronometer reading and its 01m 18s fast error into the correct UTC for the sight reduction tables? • Once you have the star’s GHA and Dec from the Nautical Almanac, how do you form the Local Hour Angle (LHA) from GHA and your assumed longitude? • After using your sight reduction tables (or calculator) to get Hc, how do you get the intercept in minutes of arc, and what does it mean if Ho is greater than or less than Hc?

✅ Before You Answer

• Be sure you apply the chronometer error with the correct sign (a fast chronometer means it is ahead of UTC). • Check that your assumed longitude is correctly chosen and that you’ve used the right sign (East vs West) when forming LHA. • Verify that your final intercept is in minutes of arc only (strip off degrees) and that you’re comparing Ho − Hc, not the other way around.

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