Reed Lunars Method Test Cases
  Last updated: November 28, 2017

  Ho for moon and body are input but Nautical Almanac correction
  for the Ha->Ho is required and input with opposite sign.
  Worth comparing technique with Letcher which requies the
  fewest inputs.

  Comments on NA Altitude Corrections:
   The Sun correction table includes refraction, parallax, and semi-
   diameter.  The Stars and Planets table is refraction only, but the
   Additional Correction for Venus and Mars takes care of parallax.
   This applies to the A2 and A3 tables.  The Moon tables in the back
   of the Almanac include refraction, parallax, semi-diameter, and
   augmentation. Stan Klein comments 10/8/2017


  Reed Test Cases
  ------------------------------------------------------------
            Case 1     Case 2     Case 3     Case 4
  ------------------------------------------------------------
  Moon                                                Moon
   HoMoon  46°39.5'   28°20.8'   52°54.0'   13°38.3'   HoMoon   corrected for UL/LL, semi-diameter
   Alt Cor -0°36.5'  -00°46.72'    -34.9'     -48.8'   Alt Cor  Fron NA, correction for SD and refraction, use opposite sign
  Body      Sun        star       Sun        Sun      Body
   HoBody  47°12.0'   48°26.82'  32°48.4'   30°05.0'   HoBody   corrected for UL/LL
   Alt Cor  0°00.8'    0°00.72'     01.4'      01.5'   Alt Cor  From NA, correction for SD and refraction, use opposite sign
   LDpc    80°39.3'   83°57.55'  63°14.55'  78°58.38'  LDpc     Note that effect of Ho and AltCor is how much bodies were 
                                                                  displaced by Ha to Ho that changed the LDo to LDpc
  >A %m    0.909      0.7980     0.3392     0.4782    >A %m
  >B %b    0.907      0.6004     0.7377     0.1647    >B %b
  >Q       0.001      0.0031     0.0043     0.0073    >Q
  >%Change -0.670     -0.728     -0.278     -0.478    >%Change
  >LDc     80°06.9'   83°20.9'   63°04.0'   78°35.73' >LDc
  >RBA    142°45.5'  115°21.9'   87°57.4'   85°00.9'  >RBA      Relative Bearing Angle between moon-body vertical circles

  Time                                                Time
  LDo     20:16:37              14:43:55   16:35:20   LDo
  LDc     20:16:44              14:43:55   16:35:36   LDc
  Dif           07                     0         16   Dif
  Lon err    02.0'                     0       04.0'  Lon err
  ------------------------------------------------------------

  Case References:
  1) Example taken from "Lunars are Easy" paper by Frank Reed
      http://reednavigation.com/lunars/easylun.html, Thompson-
      Bowditch check compares very well. See those test cases.
  2) ?
  3) Reversed engineered to get pure Reed example LDa=62°42.25'
     KP=42°00.2'N 074°07.5'W Oct 14, 2017 GMT14:43:55
     LDpc=62°42.25'+16.1'+16.0'+00.2'=63°14.55' SDs and augmentation
  4) Mystic Seaport Workshop, Lunars exercise, November 15, 2014, Popko's best sight #4