THE SOUTHWORTH PLANETARIUM
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43.6667° N    70.2667° W  Altitude:  10 feet below sea level Founded
January 1970
2021-2022: CXLVI
"Anybody who considers protocol unimportant has never dealt with a cat."
-Robert Heinlein

THE DAILY ASTRONOMER
Thursday, July 7, 2022
The Red Sirius Mystery

Dead people tell no tales; which makes them horrid conversationalists.
 Extracting information from those folks who've advanced to the next plane
is exceedingly difficult.   Consequently, those still milling about on
sphere three  must sometimes try to fathom the phrases and ideas of those
who've moved on. Such interpretations are not easy and, more often than
not, remain frustratingly elusive.   We  have to rely on our own ideas and
theories that, though based on sound scientific principles, might well be
misguided themselves.
This introduction brings us directly to the "Red Sirius Mystery," a
particularly problematic sequence of Sirius observations that continue to
confound astronomers.   Sirius is well known as it is the night sky's
brightest star.  It represents either the nose or collar of Canis Major,
the greater of Orion's two hunting dogs. One cannot currently observe as it
remains too close to the Sun. Wait, however, until mid August, when it will
reappear low in the southeastern pre-dawn sky.     Sirius spotting is a
sublime pleasure, for it glows white hot throughout the winter night.
 Therein lies the mystery!   Sirius appears white.   And, in fact, as it is
an "A"* star, Sirius exhibits a  blue-white color.
So, one wonders, why have some observers in the distant past referred to
Sirius as "reddish?"  Perhaps most notable amongst these observers is famed
Greek astronomer Claudius Ptolemy (AD 90 – c. AD 168)**, who assigned a
'red' color to  Sirius, just as he did to Betelgeuse, Antares, and a couple
other stars which are genuinely red.    A recurrence of this observation
was found in De cursu stellarum ratio by Saint Gregory (538-594).  Designed
to assist in the timing of prayers, specifically as related to stellar
risings and settings, this work also referred to Sirius' color as 'red.'
However, to thicken the plot, Chinese astronomers of the same time period
record it consistently as white.

Why would a white star, such as Sirius, appear red to anyone?
The short answer is, 'we don't know.'
The longer answer, which winds up in the same place as the shorter one,
requires an unhealthy dose of astronomy.    First, we know that Sirius has
a companion called Sirius B, a white dwarf star.   Well, the better term
would be 'white dwarf' stellar remnant,' as a white dwarf forms after an
active star concludes its core thermonuclear fusion process and casts away
its outer layer as a planetary nebula: a gaseous shell rapidly expanding
away from the white dwarf core.     Our Sun, and all stars of comparable
mass (up to 8 times as massive, generally) will transform into white dwarfs
when their life cycles end.   Before this transformation, however, the star
will expand into the red giant stage.***  Once the fusion reactions end in
the core, the outer layers are cast off as a planetary nebula.  The
remaining core becomes the white dwarf.
One might think that therein lies a solution:   Sirius B might have been a
red giant a couple thousand years ago and, as it was larger, it would have
been more luminous and therefore more readily visible.     Unfortunately,
this 'solution' is problematic.  Astronomers have already estimated the
white dwarf's age as being about 124 million years.***  Besides, if Sirius
B were a red giant 2,000 years ago, we should still see the resultant
planetary nebula: the expanding gaseous layers becoming increasingly more
rarefied through space.      The Ring Nebula (Lyra the Harp) is one of the
best known planetary nebula.  It formed approximately 7000 years ago and as
it is approximately 2300 light years away, we're seeing it just before its
5000th birthday.  The nebula is still distinct and expanding.   We would
certainly see the nebula still, had it formed 2000 years ago.
Another possible solution relates to the atmosphere and how it distorts
colors.   One may well have noticed the ember shading of the rising moon
and Sun. Such atmospheric 'coloring' can occur with stars, but generally
only when the star is low on the horizon.    The amount of atmospheric
gases between an observer and outer space decreases with increasing
altitude.  i.e., it is greatest along the horizon.  Dust particles are
principally responsible for the reddening and the dust density along a
sight line will also increase as one observes closer to the horizon due to
the increased air amounts.)    Here, we encounter another problem because
Sirius would have been higher in Ptolemy's sky than for us.****   At its
highest altitude, Sirius would have been almost halfway between the horizon
and the zenith (see fourth footnote.)  One cannot imagine that the
discoloration would have been significant enough at this latitude to make
Sirius appear red.   It might have appeared somewhat discolored when it was
low on either horizon, but Ptolemy's description seemed to indicate that it
was intrinsically red: a description he would most likely have assigned to
it only have repeated observations at various latitudes.

The notion that a hitherto unseen third body may have contributed to the
coloration seems similarly implausible, as the Sirius system is quite close
(8.4 light years) and any such body, or its remains, would have been
discovered by now.

Some have suggested that the 'red' description is more metaphorical and
observational.  The 'red' being indicative of some sinister quality
associated with the star, as opposed to an intrinsic aspect.      Colors do
have associations, of course, and perhaps the ancient astronomers were not
above the occasional poetic phrasing.    This answer might be more a
reaction to exasperation than thoughtful supposition, as we haven't yet
fathomed why anyone would have considered Sirius to be red.   The notion
that it was a Marxist sympathizer, an idea advanced by someone who thought
the entire inquiry a pointless exercise that required an equally frivolous
explanation, appeals richly to us.  After all the astronomy we've attempted
to do today, it is heartening for us to end the song on a stupid note.

*We won't spend an inordinate amount of time on this matter (perhaps,  in
some people's opinions, we already have).   Astronomers have a nifty little
letter sequence that indicates a star's spectral type or "color index."
 The sequence is O B A F G K M   (Just think of the
litigation-precipitating mnemonic "Oh, be a fine girl, kiss me.")  The O
stars are the hottest (effective temperatures higher than 59,000 F ==>
33,000 K)  and exhibit a blue color;  The M's are the red stars, and have
the lowest effective temperature of the active stars,  (down to 3800 F -->
2400 K).    A stars, like Sirius, are among the hottest and have an
apparent blue-white color.  Although, it should be noted that the "white"
color of most stars result from our own eye limitations.   We cannot
perceive color at low light levels, so most stars merely appear white.
(Notable exceptions:  Betelgeuse, in Orion, and Antares, in Scorpius, are
extraordinarily large red supergiants and they both appear red in the sky.)

**We remember this fellow as the one who developed the Ptolemaic solar
system model which placed Earth in the dead center and described all the
planets, Sun and Moon and revolving around it.     Though derided as
fraudulent -for he apparently fabricated data to support his system-
Ptolemy showed a high level of mathematical aptitude by creating a model
that explained a planet's retrograde motion while retaining the two rigid
Greek paradigms of a central Earth and perfectly circular planetary orbits.

***Determining stellar ages is hardly a trivial matter.    Deducing the
"cooling" age of a white dwarf isn't much easier.   Essentially, they can
know the white dwarf's mass because it is a component in a binary star
system. (One can derive the mass of a binary star system-and its two
members- if one knows the period and the separation distances.)   Once this
mass is known, astronomers can calculate the mass of the star that produced
it, called the "progenitor."   Through modeling, we can understand how hot
a white dwarf star will become once created, as this relates directly to
its mass. (White dwarf stars have different masses, up to about 1.4 times
the mass of the Sun.)    By comparing the assumed initial temperature with
the current measured temperature, one can estimate the white dwarf''s age
as the cooling rate is already known.   (Cooling rates are a complex mess,
too, but never mind.)

****Sirius' declination is -17 degrees, meaning that it is 17 degrees below
the Celestial Equator, the projection of Earth's equator onto the sky.
With this one piece of information, we can determine a star's maximum
altitude in our sky, as that will occur whenever the star culminates (or
crosses the meridian, which marks due south.)      We're at latitude 43
degrees north (almost), so the Celestial Equator's highest altitude equals
90 - 43  = 47 degrees.   Since Sirius is 17 degrees south of that line, its
culmination angle will be 30 degrees.     Ptolemy's home was Alexandria,
Egypt (approx latitude 31 degrees N.)   In Alexandria, the Celestial
Equator passes 90 - 31 = 59 degrees above due south.   Sirius would
therefore have a culmination angle of 59 - 17 = 42 degrees.



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