a place for friends (8)

instruments / chronology / derived/align_precession.txt · raw

Timocharis / Aristyllus  n=17  best  -276  1σ [-288,-264]  2σ [-302,-250]  rms 0.25°   | conventional -290: rms 0.26°, Δχ² +1.1
    middle of the Pleiades             stated  +14.17  crossings [-358]  rate +0.49°/cy  resid@best -0.42  @conv -0.34  [ς'' read as 1/6 (French '14 ?')]
    la claire des Hyades (Aldebaran)   stated   +8.75  crossings [-346]  rate +0.43°/cy  resid@best -0.31  @conv -0.25
    la chèvre (Capella)                stated  +40.00  crossings [-232]  rate +0.40°/cy  resid@best +0.18  @conv +0.24
    épaule précédente d'Orion (Bellatr stated   +1.20  crossings [-300]  rate +0.35°/cy  resid@best -0.08  @conv -0.03  [Greek 'α καὶ [πέμπτῳ]' partly unreadable; alternatives 1 1/5, 1 1/4]
    épaule suivante d'Orion (Betelgeus stated   +3.50  crossings [-385]  rate +0.30°/cy  resid@best -0.33  @conv -0.28
    la brillante de la gueule du chien stated  -16.33  crossings [-414, 1697]  rate +0.12°/cy  resid@best -0.14  @conv -0.13
    première des têtes des gémeaux (Ca stated  +33.00  crossings [-369, 1395]  rate +0.14°/cy  resid@best -0.12  @conv -0.10
    la suivante (Pollux)               stated  +30.00  crossings [-248, 814]  rate +0.11°/cy  resid@best +0.03  @conv +0.04
    l'étoile du cœur du lion (Regulus) stated  +21.33  crossings [-359]  rate -0.24°/cy  resid@best +0.24  @conv +0.20
    l'épi (Spica)                      stated   +1.40  crossings [-282]  rate -0.53°/cy  resid@best +0.03  @conv -0.05
    dernière de la queue de la grande  stated  +61.50  crossings [-273]  rate -0.53°/cy  resid@best -0.01  @conv -0.09
    seconde, au milieu de la queue     stated  +67.25  crossings [-245]  rate -0.50°/cy  resid@best -0.17  @conv -0.25
    troisième, à la naissance de la qu stated  +68.50  crossings [-266]  rate -0.44°/cy  resid@best -0.05  @conv -0.13
    Arcturus                           stated  +31.50  crossings [-161]  rate -0.59°/cy  resid@best -0.70  @conv -0.78
    extrémité de la serre méridionale  stated   -5.00  crossings [-246]  rate -0.53°/cy  resid@best -0.17  @conv -0.24
    extrémité de la serre boréale      stated   +1.20  crossings [-308]  rate -0.51°/cy  resid@best +0.17  @conv +0.10
    Antarès                            stated  -18.33  crossings [-296]  rate -0.45°/cy  resid@best +0.09  @conv +0.02
Hipparchus               n=17  best  -118  1σ [-132,-104]  2σ [-144,-92]  rms 0.15°   | conventional -128: rms 0.15°, Δχ² +0.5
    middle of the Pleiades             stated  +15.17  crossings [-160]  rate +0.49°/cy  resid@best -0.21  @conv -0.16  [settled by p.20 difference 1 1/12]
    la claire des Hyades (Aldebaran)   stated   +9.75  crossings [-118]  rate +0.43°/cy  resid@best +0.00  @conv +0.04
    la chèvre (Capella)                stated  +40.40  crossings [-135]  rate +0.40°/cy  resid@best -0.07  @conv -0.03
    épaule précédente d'Orion (Bellatr stated   +1.80  crossings [-124]  rate +0.35°/cy  resid@best -0.02  @conv +0.01
    épaule suivante d'Orion (Betelgeus stated   +4.33  crossings [-99]  rate +0.30°/cy  resid@best +0.05  @conv +0.08
    la brillante de la gueule du chien stated  -16.00  crossings [-50, 1340]  rate +0.12°/cy  resid@best +0.05  @conv +0.06
    première des têtes des gémeaux (Ca stated  +33.33  crossings [-84, 1109]  rate +0.14°/cy  resid@best +0.03  @conv +0.04  [fraction glyph unreadable in both columns; alternatives 33 1/3, 33 3/5]
    la suivante (Pollux)               stated  +30.00  crossings [-248, 814]  rate +0.11°/cy  resid@best -0.09  @conv -0.08
    l'étoile du cœur du lion (Regulus) stated  +20.67  crossings [-130]  rate -0.24°/cy  resid@best +0.03  @conv +0.01  [one fraction glyph unreadable; alternatives 20 1/2, 20 2/3]
    l'épi (Spica)                      stated   +0.60  crossings [-138]  rate -0.53°/cy  resid@best +0.11  @conv +0.06
    dernière de la queue de la grande  stated  +60.25  crossings [-50]  rate -0.53°/cy  resid@best -0.38  @conv -0.43
    seconde, au milieu de la queue     stated  +66.50  crossings [-112]  rate -0.50°/cy  resid@best -0.04  @conv -0.09  [fraction glyph unreadable; alternatives 66 1/2, 66 1/6]
    troisième, à la naissance de la qu stated  +67.60  crossings [-100]  rate -0.44°/cy  resid@best -0.10  @conv -0.15
    Arcturus                           stated  +31.00  crossings [-79]  rate -0.59°/cy  resid@best -0.24  @conv -0.30
    extrémité de la serre méridionale  stated   -5.60  crossings [-136]  rate -0.53°/cy  resid@best +0.10  @conv +0.05
    extrémité de la serre boréale      stated   +0.40  crossings [-157]  rate -0.51°/cy  resid@best +0.20  @conv +0.15
    Antarès                            stated  -19.00  crossings [-152]  rate -0.45°/cy  resid@best +0.15  @conv +0.11
Ptolemy                  n=17  best  +114  1σ [+102,+126]  2σ [+88,+142]  rms 0.20°   | conventional +137: rms 0.23°, Δχ² +2.4
    middle of the Pleiades             stated  +16.25  crossings [58]  rate +0.49°/cy  resid@best -0.27  @conv -0.38
    la claire des Hyades (Aldebaran)   stated  +11.00  crossings [183]  rate +0.43°/cy  resid@best +0.28  @conv +0.20
    la chèvre (Capella)                stated  +41.17  crossings [59]  rate +0.40°/cy  resid@best -0.21  @conv -0.29  [settled by p.20 difference 4/5]
    épaule précédente d'Orion (Bellatr stated   +2.50  crossings [91]  rate +0.35°/cy  resid@best -0.07  @conv -0.13  [settled by p.20 (δυσὶ μοίραις καὶ ∠, difference ~2/3)]
    épaule suivante d'Orion (Betelgeus stated   +5.25  crossings [264]  rate +0.30°/cy  resid@best +0.36  @conv +0.31
    la brillante de la gueule du chien stated  -15.75  crossings [513, 522, 529, 749, 751, 764, 774, 780]  rate +0.12°/cy  resid@best +0.14  @conv +0.13
    première des têtes des gémeaux (Ca stated  +33.40  crossings [-9, 1030]  rate +0.14°/cy  resid@best -0.09  @conv -0.10  [Greek 'λγ καὶ δυσὶ πέμπτοις']
    la suivante (Pollux)               stated  +30.17  crossings [33, 37, 44, 523]  rate +0.11°/cy  resid@best -0.02  @conv -0.03
    l'étoile du cœur du lion (Regulus) stated  +19.83  crossings [131]  rate -0.24°/cy  resid@best -0.05  @conv +0.02  [two fraction glyphs; alternatives 19 5/6, 19 1/2]
    l'épi (Spica)                      stated   -0.50  crossings [57]  rate -0.53°/cy  resid@best +0.32  @conv +0.44
    dernière de la queue de la grande  stated  +59.67  crossings [54]  rate -0.53°/cy  resid@best +0.34  @conv +0.46
    seconde, au milieu de la queue     stated  +65.00  crossings [155]  rate -0.50°/cy  resid@best -0.23  @conv -0.11
    troisième, à la naissance de la qu stated  +66.25  crossings [145]  rate -0.44°/cy  resid@best -0.17  @conv -0.05
    Arcturus                           stated  +29.83  crossings [114]  rate -0.59°/cy  resid@best -0.00  @conv +0.13  [settled by p.20 difference 1 1/6]
    extrémité de la serre méridionale  stated   -7.17  crossings [154]  rate -0.53°/cy  resid@best -0.21  @conv -0.10
    extrémité de la serre boréale      stated   -1.00  crossings [113]  rate -0.51°/cy  resid@best +0.00  @conv +0.11
    Antarès                            stated  -20.25  crossings [131]  rate -0.45°/cy  resid@best -0.07  @conv +0.02

intervals by precession: first→Hipparchus +158 y, Hipparchus→Ptolemy +232 y; the book states 265 y for the second and gives Nabonassar 454–466 for Timocharis vs 880–887 for Ptolemy (≈420 y) for the whole span

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