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Local Sidereal Time (GMST/LST)

Calculates Greenwich Mean Sidereal Time (GMST) and Local Sidereal Time (LST) for geographic coordinates and a specific date, used in amateur astronomy.

Fórmula da NAA (Naval Almanac Office), precisão ~1 segundo. Útil para alinhamento de telescópios e identificação de estrelas no meridiano.

Sidereal time: which right ascension is on your meridian

The sidereal day runs 23 hours, 56 minutes and 4 seconds — almost four minutes shorter than the solar day. The difference is not a measurement error: while the Earth turns, it also advances along its orbit, so it has to turn a little more than 360 degrees to bring the Sun back to the meridian. Over a year that surplus adds up to exactly one rotation, which is why 366 sidereal days fit into 365 solar ones.

For anyone pointing a telescope, local sidereal time is the figure that matters: it tells you which right ascension is crossing the meridian at that instant. An object whose right ascension equals your LST is culminating now, at the highest point it will reach that night — and therefore looking through the least atmosphere. Planning an observing session is largely a matter of ordering targets by that comparison.

The page computes GMST, mean sidereal time at Greenwich, and adds longitude divided by fifteen to reach the local value. East longitude goes in positive. The word mean in the name means the nutation of the Earth's axis has been ignored: the gap between mean and apparent sidereal time reaches a little over a second, irrelevant for aiming an amateur telescope and relevant for astrometry.

Frequently asked questions

Why is the sidereal day shorter?
Because it measures rotation against the stars, while the solar day measures it against the Sun. Since the Earth moves about one degree a day along its orbit, it has to turn that extra degree for the Sun to return to the same place in the sky — nearly four minutes of additional rotation each day.
How does this help plan an observation?
Compare the target's right ascension with local sidereal time. If they match, the object is on the meridian; if the right ascension is two hours greater, it culminates in two hours. It is the calculation that replaces pointing the telescope by trial and finding the target has already set.
What is the difference between mean and apparent sidereal time?
The apparent value includes nutation, the short-period wobble of the Earth's axis caused by the Moon; the mean value ignores it. The difference is the equation of the equinoxes and stays within about 1.1 seconds. Simple formulas, like the one used here, give the mean — enough for visual work.

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