Date
Latitude °N
Longitude °E
UTC Offset h
Hanoi, Vietnam · 21.03°N 105.83°E
—
Computing…
Sky Timeline — 24-Hour Horizon Visibility
Day (Sun > 0°)
Civil twilight (−6°)
Nautical (−12°)
Astronomical (−18°)
Night (< −18°)
Altitude Over Time
Rise · Transit · Set — Local Time
| Body | Rise ↑ | Transit ⊙ | Set ↓ | Max Alt | Az Rise | Az Set | Now (Alt / Az) |
|---|
Accuracy notes —
Sun: Meeus Ch.25 low-precision (~1 min for rise/set).
Moon: Meeus Ch.47 simplified series, ~20 terms (~5 min).
Planets: JPL Keplerian elements 1800–2050 (Standish 1992), ~1° inner / ~5° outer.
Rise/set computed by 10-min altitude sampling + linear interpolation.
All times in local clock time (UTC + offset entered above).
Atmospheric refraction of 34′ included for Sun; 34′ for planets/stars; Moon uses 0.7275·HP − 34′.