Line of Position — Peacock

See Rigil Kentaurus for a detailed explanation of the steps here. Computing a Line of Position takes these steps:
  1. Measure the object's altitude with a sextant, note exact time of sight, correct sextant altitude for various errors.
  2. Use almanac to find GP of Peacock
  3. Pick an Assumed Position
  4. Use sight reduction tables to compute an azimuth (Z) to the object and an expected altitude (Hc).
  5. Plot

Measure the object's altitude with a sextant

Leg 57 gives this information for the sighting of Peacock:

With this information, we can now fill in the first part of our worksheet:

Object: Peacock Hs: 22°24.8' ±ie -2.5 -dip -2.9 =Ha: 22°19.4 ±corr: -2.3 =Ho: 22°17.1

Find Geographic Position of Peacock

date, time: 1999-03-24 23:45:22 almanac: GHA: 166°58.3 v: _______ decl: S56°44.1 d: _______ HP: ______ +corr: 11°20.5 +d: ______ +v: ___._ =decl: ___°__._ +SHA: 53°36.9 =GHA: 231°55.7 ±AP: ___°__._ =LHA: ___°__._

Pick an Assumed Position

Set AP to 54°S, 74°55.7W

date, time: 1999-03-24 23:45:22 almanac: GHA: 166°58.3 v: _______ decl: S56°44.1 d: _______ HP: ______ +corr: 11°20.5 +d: ______ +v: ___._ =decl: ___°__._ +SHA: 53°36.9 =GHA: 231°55.7 ±AP: -74°55.7 =LHA: 157°

Use Sight Reduction Tables

The table gives these values:

Again, Hc is within a degree of our Ho, which is a good sign.

Again, we go to the correction table and enter d (58) and the minutes of declination (44). This gives 43

Sight reduction table: Hc: 21°36 d: 58' Z: 194° +d: 43 =Hc: 22°19 -Ho: 22°17 =dist: +2 +away, -towards

We are 2 nm further from Peacock than our assumed position.

Plot

Draw a vector from our assumed position in the direction 194°. Measure 2 nm back along that vector and draw a line perpendicular to the vector. This is our Line of Position for Peacock.

Our LOP's intersect almost at an exact spot. This is a good sign. Now let's do the moon next.

Next: Line of Position — Moon