S T A R P A T H ® S c h o o l o f N a v i g a t i o n PRINTABLE CELESTIAL NAVIGATION WORK FORMS For detailed instructions and numerical examples, see the companion booklet listed below. FORM 104 — All bodies, using Pub 249 or Pub 229 FORM 106 — All Bodies, Using NAO Tables FORM 108 — All Bodies, Almanac, and NAO Tables FORM 109 — Solar Index Correction FORM 107 — Latitude at LAN FORM 110 — Latitude by Polaris FORM 117 — Lat, Lon at LAN plus Polaris FORM 111 — Pub 249, Vol. 1 Selected Stars Other Starpath publications on Celestial Navigation Celestial Navigation Starpath Celestial Navigation Work Forms Hawaii by Sextant How to Use Plastic Sextants The Star Finder Book GPS Backup with a Mark 3 Sextant Emergency Navigation Stark Tables for Clearing the Lunar Distance Long Term Almanac 2000 to 2050 Celestial Navigation Work Form Form 104, All Sights, Pub. 249 or Pub. 229 WT h m s date body Hs ° ´ WE DR log index corr. 1 +S -F Lat + off - on ZD DR HE DIP +W -E Lon ft - UTC h m s UTC date / LOP label Ha ° ´ GHA v Dec d HP ° ´ moon ° ´ + 2 hr. planets hr - moon GHA + d additional ° ´ + ´ altitude corr. m.s. corr. - moon, mars, venus 3 SHA + stars Dec Dec altitude corr. or ° ´ or ° ´ all sights v corr. moon, planets min GHA upper limb moon ° ´ tens d subtract 30’ d upper Ho units d ° ´ a-Lon ° ´ d lower -W+E dsd dsd T LHA corr. + Hc 00´ W / 60´ E ° d. ° ´ Pub. 229 corr. A a = TA LHA tab d Z ° ° ´ + Zn = 5 Hc - Dec d. Dec ° N Pub. 249 ´ a - Lat = 4 deg S corr. min a-Lat ° N Hc ° ´ a - Lon = S 6 North Latitudes South Latitudes LHA greater than 180° ...................................... Zn = Z LHA greater than 180° ...................................... Zn = 180° - Z LHA less than 180° ........................................... Zn = 360° - Z LHA less than 180° ........................................... Zn = 180° + Z WT h m s date body Hs ° ´ WE DR log index corr. 1 +S -F Lat + off - on ZD DR HE DIP +W -E Lon ft - UTC h m s UTC date / LOP label Ha ° ´ GHA v Dec d HP ° ´ moon ° ´ + 2 hr. planets hr - moon GHA + d additional ° ´ + ´ altitude corr. m.s. corr. - moon, mars, venus 3 SHA + stars Dec Dec altitude corr. or ° ´ or ° ´ all sights v corr. moon, planets min GHA upper limb moon ° ´ tens d subtract 30’ d upper Ho units d ° ´ a-Lon ° ´ d lower -W+E dsd dsd T LHA corr. + Hc 00´ W / 60´ E ° d. ° ´ Pub. 229 corr. A a = TA LHA tab d Z ° ° ´ + Zn = 5 Hc - Dec d. Dec ° N Pub. 249 ´ a - Lat = 4 deg S corr. min a-Lat ° N Hc ° ´ a - Lon = S 6 Celestial Navigation Work Form Form 106, All Sights, Using the NAO Tables Location on table pages N S Declination Top Sides same + D° D' sign B = sign Z Latitude N S LHA contrary - 1 + if LHA = 0 to 90 SR Table A° A' + B° B' + Z1 - if LHA = 91 to 269 ------------------ > 1 - - + if LHA = 270 to 360 F° F' bar top means rounded value 30' or 0.5° rounds up + if F = 0 to 90 A F SR Table H° H' P° P' + Z2 2 ------------------ > - - if F = 90 to 180 same sign as Z F' P Aux 2 C N. Lat Z = S. Lat 3 --------- > but reverse sign if + 1 F' = 30 to 59 - 360.0 180.0 + if A' = 30 to 59 C + 2 - LHA A' Z2 Aux 4 --------- > > - if A' = 0 to 29 - Z + 0 to 180 + Z > 180 to 360 - Hc = A Ho = T > > take label > of larger Zn = a = T A Location on table pages N S Declination Top Sides same + D° D' sign B = sign Z Latitude N S LHA contrary - 1 + if LHA = 0 to 90 SR Table A° A' + B° B' + Z1 - if LHA = 91 to 269 ------------------ > 1 - - + if LHA = 270 to 360 F° F' bar top means rounded value 30' or 0.5° rounds up + if F = 0 to 90 A F SR Table H° H' P° P' + Z2 2 ------------------ > - - if F = 90 to 180 same sign as Z F' P Aux 2 C N. Lat Z = S. Lat 3 --------- > but reverse sign if + 1 F' = 30 to 59 - 360.0 180.0 + if A' = 30 to 59 C + 2 - LHA A' Z2 Aux 4 --------- > > - if A' = 0 to 29 - Z + 0 to 180 + Z > 180 to 360 - Hc = A Ho = T > > take label > of larger Zn = a = T A Celestial Navigation Work Form Form 108, All Bodies, Almanac, and NAO Tables WT h m s date body Hs ° ´ WE DR log index corr. 1 +S -F Lat + off - on ZD DR HE DIP +W -E Lon ft - UTC h m s UTC date / LOP label Ha ° ´ GHA v Dec d HP ° ´ moon ° ´ + 2 hr. planets hr - moon GHA + d additional ° ´ + ´ altitude corr. m.s. corr. - moon, mars, venus 3 SHA + stars Dec Dec altitude corr. or ° ´ or ° ´ all sights v corr. moon, planets min GHA upper limb moon ° ´ subtract 30’ Ho ° ´ a-Lon 4 -W+E ° ´ 5 LHA ° 00´ W / 60´ E Location on table pages N S Declination Top Sides emas + D° D' Latitude N S LHA contrary - sign B = sign Z1 + if LHA = 0 to 90 SR Table A° A' + B° B' + Z1 - if LHA = 91 to 269 6 ------------------> - - + if LHA = 270 to 360 F° F' bar top means rounded value 30' or 0.5° rounds up + if F = 0 to 90 A F SR Table H° H' P° P' + Z2 7 ------------------> - - if F = 90 to 180 Aux same sign as Z2 C N. Lat Z = S. Lat F' P ---------> but reverse sign if + 1 8 - F' = 30 to 59 C 360.0 180.0 + if A' = 30 to 59 + - LHA A' Z2 Aux 2 ---------> > 9 - if A' = 0 to 29 - Z + 0 to 180 + Z > 180 to 360 - Hc = A 10 Ho = T > take label > > of larger a = T A Zn = 11 a-Lat = a-Lon = Celestial Navigation Work Form Form 117, Short Forms for LAN and Polaris Sights Lat at LAN Date hr min sec Find Ho degrees minutes UTC LAN = Hs-max = Declination in Nautical Almanac at UTC of LAN IC (+Off, - On) = ± degrees minutes d-value (±) Dip (from HE) = − Dec (hr) = N S Ha = d corr = ± alt corr (UL-,LL+) = ± Dec = N S Ho = Find z (90º-Ho) 89º 60.0’ Ho = − Lon at LAN = GHA sun at UTC of LAN z = degrees minutes GHA (hr) = DR (Lat, Lon) = GHA (m.s) = + GHA = Lat = sum or difference Dec and z If GHA between 0 and 180, Lon W = GHA Dec or z = If GHA between 180 and 360, Lon E = 360-GHA z or Dec = ± Lat = LAN Lat Rules: For Contrary Name: Lat = z - Dec. For Same Name: DR-Lat > Dec, Lat = z + Dec; DR-Lat < Dec, Lat = Dec -z. But don’t forget the easy rule: add them, and if that is nonsense (compared to your DR Lat) then sub-tract them. LAN Lon Reminder: LAN Lon is only as accurate as the UTC you assign to the event. The Lon will be uncertain by 15’ for each 1 minute of time uncertainty in your choice of peak Hs time. Find LHA ♈ UTC Polaris sight hr min sec Lat by Polaris degrees minutes Date DR (Lat, Lon) = Hs of Polaris = IC (+Off, - On) = ± LHA ♈ = GHA ♈ - Lon W (or + Lon E) Dip (from HE) = − degrees minutes Ha = GHA ♈ (hr) = alt corr = − GHA ♈ (m.s) = + Ho = GHA ♈ = subtract 1º − -1º +a0 = + DR Lon (-W,+E) = ± +a1 = + +a2 = + LHA ♈ = Lat = Use LHA ♈ in Polaris Tables to find a0, a1, a2 Celestial Navigation Work Form Form 109, for Solar Index Correction Toward or Away Date Toward or Away Date On Off Diff Check SD On Off Diff Check SD sight # -- + sight # -- + = = ÷2 = ÷4 = = ÷2 = ÷4 SD= = = SD= = = Toward or Away Date Toward or Away Date On Off Diff Check SD On Off Diff Check SD sight # -- + sight # -- + = = ÷2 = ÷4 = = ÷2 = ÷4 SD= = = SD= = = Toward or Away Date Toward or Away Date On Off Diff Check SD On Off Diff Check SD sight # -- + sight # -- + = = ÷2 = ÷4 = = ÷2 = ÷4 SD= = = SD= = = Toward or Away Date Toward or Away Date On Off Diff Check SD On Off Diff Check SD sight # -- + sight # -- + = = ÷2 = ÷4 = = ÷2 = ÷4 SD= = = SD= = = Toward or Away Date Toward or Away Date On Off Diff Check SD On Off Diff Check SD sight # -- + sight # -- + = = ÷2 = ÷4 = = ÷2 = ÷4 SD= = = SD= = = Toward or Away Date Toward or Away Date On Off Diff Check SD On Off Diff Check SD sight # -- + sight # -- + = = ÷2 = ÷4 = = ÷2 = ÷4 SD= = = SD= = = This form covers 12 sights. Celestial Navigation Work Form Form 107, for Latitude at LAN Step 1 Correct Hs to get Ho Record Maximum Sextant Height (Hs = peak height Lower ° 1-1 Hs ' of the sun at noon), and mark limb Upper Record Index Correction O + 1-2 IC ' (mark sign + if o, - if on) On – Record eye height (HE) and Look up Dip Correction on Dip – 1-3 the right-hand side of Table A2, front of the Almanac ' (correction depends on HE) HE (ft) Sum the above three numbers to get Ha 1-4 ° ' Apparent Height 1-5 Look up altitude correction on lefthand side of Alt corr. + ' Table A2, front of the Almanac – (correction depends on Ha, Limb, and month) (mark sign + for lower limb, - for upper limb) Sum the above two numbers to get 1-6 ° ' Observed Height Ho ° ' Step 2 Determine the Zenith Distance 89 60.0 ° ' 2-1 Record Ho from Step 1, above, and then Ho – subtract it from 90° to get the zenith distance ° ' 2-2 Zenith distance z GMT date = Step 3 Use the Almanac to Find Sun's Declination 3-1 Record the date and GMT of the sight GMT (hr) = GMT (min) = (the time the sun reached its peak height) Turn to the daily page of the Almanac for the date N ° ' 3-2 Dec (hr) S the hour of the sight (line 3-1) and record it here.