For , ( v ) is usually small (0.0 to 0.3′/hour), so the increment table is nearly linear.
Let’s say at 32m 21s, tabulated d corr = +0.54′ per 1.0′ of d. Then actual correction = 0.54 × (−2.3) = −1.2′.
This matches the 1992 printed increment for Sun. If you meant something else by — such as hidden table logic, computational shortcuts for 1992 calculators, or how to correct for Moon’s HP (horizontal parallax) — let me know and I’ll go even deeper.
[ \textIncrement (GHA) = t \times 15^\circ + \textcorrection for v ]
[ \Delta GHA_Sun = 15 \times (mm/60 + ss/3600) \times 60 \text (arcminutes) ]
But the printed table pre-computes:
Example: 25m 30s → (15 \times 0.425 \times 60 = 382.5′ = 6° 22.5′)
[ \Delta GHA = t \times 15.04107^\circ \text (for Aries/Sun/planets approx) + t \times v ]
For , ( v ) is usually small (0.0 to 0.3′/hour), so the increment table is nearly linear.
Let’s say at 32m 21s, tabulated d corr = +0.54′ per 1.0′ of d. Then actual correction = 0.54 × (−2.3) = −1.2′.
This matches the 1992 printed increment for Sun. If you meant something else by — such as hidden table logic, computational shortcuts for 1992 calculators, or how to correct for Moon’s HP (horizontal parallax) — let me know and I’ll go even deeper.
[ \textIncrement (GHA) = t \times 15^\circ + \textcorrection for v ]
[ \Delta GHA_Sun = 15 \times (mm/60 + ss/3600) \times 60 \text (arcminutes) ]
But the printed table pre-computes:
Example: 25m 30s → (15 \times 0.425 \times 60 = 382.5′ = 6° 22.5′)
[ \Delta GHA = t \times 15.04107^\circ \text (for Aries/Sun/planets approx) + t \times v ]