Thanks to James B. Kaler. These contents are the property of the author and are reproduced from original without the author's express consent because of fair use and valid educational purposes.
MARFAK-WEST
(Mu Cassiopeiae). Much of the naming game seems to be
location. "Marfak" more oddly applies not to just one, but to TWO
stars that represent "the elbow," the western one fifth magnitude
(5.17) Mu Cassiopeiae, the eastern one fourth magnitude (4.33)
Theta Cas. They are not related, as Mu is only 25 light years
away, whereas Theta is 137 light years distant. While Theta is a
more or less ordinary class A7 dwarf, Mu is a star with a serious
difference. That it is visually rather dim even though close to us
reveals its inherent faintness. Indeed, this class G (G5) dwarf is
significantly intrinsically less luminous than the Sun, one of the few naked eye stars in the sky
to be able to make that claim. With a temperature of 5290 Kelvin
(490 Kelvin cooler than the Sun), Marfak-West shines at us with a
luminosity only 46 percent solar. More intriguing, the star is
moving in angle across the sky at an exceedingly high pace of 3.78
seconds of arc per year (its "proper motion"), over a third that of
the fastest known (much dimmer Barnard's
Star of Ophiuchus). At Mu Cas's
distance, that translates into an "across the line of sight" speed
(the "transverse velocity") of a surprising 135 kilometers per
second. Combine that with the line of sight speed (the "radial
velocity") of 97 kilometers per second (approaching us), and you
get a full velocity relative to the Sun of 167 kilometers per
second, nearly 10 times the typical value. To that add an
unusually low metal content, an iron abundance but 15 percent
solar, and we see that Mu Cas is a classic "subdwarf"
(which renders the spectrum "peculiar"), a visitor to
our neighborhood from the Galaxy's ancient halo, which
surrounds the disk that makes our Milky
Way. Low metallicities drop the opacities of the stellar gases
and make such stars look too dim for their classes, hence the
"subdwarf" appellation (whereas in reality subdwarfs have classes
too warm for their visual luminosities). In absolute terms, Mu is
moving inward toward the center of the Galaxy at 42 km/s, out of
the Galactic plane at 35 km/s, and is falling behind the Sun in its
Galactic orbit by 61 km/s. Even better, Mu is not just a subdwarf,
but a BINARY subdwarf. Orbiting it is a much dimmer class M
(probably M5) 11th magnitude (11.5) dwarf that takes 21.75 years to
orbit its brighter companion, the two averaging 7.6 Astronomical
Units apart, a high eccentricity making them 3.3 AU apart at
closest, 11.9 AU at farthest.
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The two stars of Mu Cassiopeiae orbit each other on elliptical
paths every 22 years. The small inner orbit is that of the bright
primary star about the center of mass of the system, while the
outer orbit is that of the faint secondary star focussed on the
primary star. The numbers are years of observation; the stars were
closest in 1998. (From an article in the Astrophysical
Journal by J. Drummond, J. Christou, and R. Fugate.)
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Orbital analysis shows Mu Cas A to have a mass of 0.74 times that
of the Sun, with Mu Cas B weighing in at a miserable 0.17 solar.
With a visual luminosity only 0.001 times that of the Sun, from Mu
Cas A, Mu Cas B would shine with the light of but 40 or so full
Moons. Several other dim stars flock within a few minutes of arc
around Mu Cas, one of which (12th magnitude Mu Cas E) may be a
real, though very distant, companion. (Thanks to Jack Drummond for
suggesting this star.)