[image: display-image-php_84_orig.jpg]
*Calypso:*  the Immortal Wife
Poor Odysseus.    For those unfamiliar with his story, we'll provide a
brief synopsis.  He was the King of Ithaca whose life would have likely
been less eventful had he not been so fiendishly clever.    His travails
truly began when he joined the throng of eager suitors who besieged King
Tyndareus' palace in order to win his daughter Helen's hand in marriage.
As the world's most beguilingly beautiful woman, Helen would naturally be
sought by all.  Or, almost all.    Odysseus was unique among these men in
that he truly didn't wish to be Helen's husband. Instead, he desired her
cousin Penelope, daughter of Tyndareus' brother Icarius.   (Not to be
confused with Icarus, the ill-fated son of Daedalus who fell to his death
when venturing too close to the Sun while flying upon waxen-wings.)   Being
a sagacious sort, Odysseus knew that Penelope was the wiser, craftier and
more loyal of the two women.   He managed to win Penelope by assisting her
uncle Tyndareus, who was worried that violence would ensue immediately
after he chose the suitor to be Helen's husband.    Odysseus advised the
King to have all the suitors swear an oath to protect the sanctity of the
marriage no matter whom he chose.    The King heeded his advice and in
gratitude persuaded his brother to allow Odysseus to marry Penelope.  When
Trojan prince Paris kidnapped Helen after she was married to Menelaus, the
suitors were oath-bound to sail to Troy and retrieve her.  By that time
Penelope had already given birth to Telemachus and Odysseus wanted to
remain at home.   After all, an oracle warned him that if he went to fight
the Trojans he would be gone twenty years.    So, when Palamedes arrived in
Ithaca to summon Odysseus, the latter pretended to be mad by plowing salt
into his soil while babbling incoherently.  Suspecting subterfuge,
Palamedes placed the infant Telemachus in the plow's path.  Odysseus' ruse
was up when he diverted the plow away from his son.        So, poor
Odysseus joined the fight, which lasted ten years.   After the war ended,
thanks to the Trojan Horse trick that Odysseus, himself, had devised, he
and his crew embarked immediately for Ithaca.      Alas, they encountered
one peril after another:   the flesh-craving cyclops Polyphemus, Circe, the
witch who transformed his men into swine, Scylla and Charybdis, sirens, and
so many others.     By the time Odysseus reached the island of Ogygia, all
his crew members had perished.   The nymph Calypso watched him step onto
shore and fell madly in love with him.   She enraptured him with her beauty
and singing and kept him on the island for seven years.    They spent their
days roaming through the lush fields and crystalline caverns of Ogygia and
spent their nights in close intimacy.    Everyday Calypso fell more deeply
in love with Odysseus.  She promised Odysseus eternal youth if he would
remain on the island forever as her husband.  Yet, everyday Odysseus pinned
more desperately for his wife Penelope.      Though reluctant to confide
these feelings to Calypso, he did pray to his matron goddess Athena to help
him.    Athena went to Zeus and pleaded on Odysseus' behalf.   Zeus sent
Hermes, the messenger god, to Ogygia to inform Calypso that she must
release Odysseus for it was not his destiny to remain with her forever.
  Initially Calypso was furious and railed at the gods for not permitting
goddesses to have affairs with mortals.   Yet, she ultimately relented.
 Calypso prepared a raft and stocked it with enough provisions to enable
Odysseus to reach Ithaca. (Of course, he experienced one more detour, to
the island of the Phaeanians, before arriving home.)      When Odysseus did
reach Ithaca and was reunited with Penelope, he found that his wife had
remained loyal and faithful.   He, of course, well, didn't....

THE SOUTHWORTH PLANETARIUM
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Julian Date: 2459094.16
2020-2021:  II


THE DAILY ASTRONOMER
Tuesday, September 1, 2020
Remote Planetarium 80:  Dark Matters


Why does astronomy work?    How have astronomers managed to learn so much
about the cosmos?    Simple:     celestial objects emit light, or, more
accurately, electromagnetic radiation.  This radiation disseminates through
the Universe radially away from any luminous object.  Astronomers study
that light and from it they glean immense amounts of information related to
the object that produced it.  One can regard such light as being akin to a
tapestry which astronomers have learned to decipher over the last few
centuries.    Astronomy is the art of interpreting light.

Yet, not all celestial objects emit such radiation.     Dark matter, which
astronomers believe comprises the vast majority of material within the
Milky Way Galaxy and a substantial amount of material in the Universe,
imparts no light into the Universe.       It is not visible at all, hence
the term "dark."    According to the most recent estimates, dark matter
makes up


   - 84% of the Milky Way Galaxy
   - 26% of the Universe

These estimates prompt the questions:  how do astronomers know dark matter
exists?    Of what material does it consist?


*KNOWING ABOUT DARK MATTER:*

While the concept of "dark stars" and other invisible celestial objects
dates back to the 17th century, when Newton developed his Law of Universal
Gravitation, the first systematic study of dark matter didn't occur until
Swiss astronomer Fritz Zwicky (1898-1974) observed the Coma Cluster of
Galaxies.

[image: 70298529_1462110942.jpg]  * Fritz Zwicky  *

Located about 300 million light years from our solar system, the Coma
Cluster of Galaxies consists of more than 1000 member galaxies distributed
over a region ten million light years in radius.    In 1933, Zwicky
announced that the cluster's component galaxies were moving far too swiftly
than they should have been according to the physical laws relating a
cluster's mass and the velocities of the galaxies within it.  Zwicky
employed the Virial Theorem, which states that within a self-gravitating
distribution of equal mass objects such as galaxies, the total kinetic
energy of the objects relates to the entire gravitational potential energy
of the entire system.     He hypothesized the existence of invisible
material he dubbed* "dunkle Materie."*

The astronomical community largely ignored Zwicky's work for nearly half a
century.     The concept of "dark matter" came to the fore later in the
twentieth century when astronomers such as Vera Rubin (1928-2016) studied
the galactic rotation rates and the velocities of stars within the Milky
Way.

[image: Rubin-Vera.jpg]   *Vera Rubin*

By analyzing the structures of distant galaxies, astronomers determined
that the masses of galaxies seemed to be concentrated in and around the
galactic nuclei (centers).    Consequently, they assumed that the speeds of
stars would  decrease with increasing distance from the galactic center as
the amount of material within the galaxy determines these velocities.
(On a smaller scale, the Sun's mass relates directly to the orbital speeds
of its attendant planets.  The more massive the Sun, the quicker the
revolutionary velocity.

[image: main-qimg-d41e0bd7d39175b06afb31ef42b78f3d.webp]

They were astonished to have observed that the velocities of stars toward
the galaxy's outer regions were moving much more quickly than they
expected.   The above graph shows the difference between the calculated
velocity curve (red) and the observed velocity curve (white).          The
most plausible theory to explain this discrepancy involves dark matter.
Much more material must be present within the Milky Way than we can
directly observe.   In fact, the majority of the galaxy must consist of
dark matter.

The extensive observations of galaxies within various clusters and the
stars within our galaxy has led to development of the "dark matter
theory."  Although this matter doesn't emit visible radiation, it does
interact gravitationally with visible matter and so is indirectly
detectable.   It is possible that other WIMPS (Weakly Interacting Massive
Particles) could be responsible, but haven't yet been identified.

*WHAT IS DARK MATTER?*
Astronomers don't know, actually.   Although the nature of dark matter
remains mysterious, many possibilities have been suggested to explain dark
matter.   Some have suggested that dark matter consists of neutrinos,
nearly massive particles generated in nuclear reactions such as the fusion
processes powering the Sun.      Scientists have identified three neutrino
types:  electron, muon and tau:  the names of the elementary particles with
which they are associated.      It was once thought that neutrinos were
"fixed."  An electron neutrino always remained the same and could not alter
form.   However, studies of electron neutrinos emitted by the Sun showed
that neutrinos can, indeed, change form, a process known as "oscillation."
   These oscillations are only possible if the neutrino contains at least
some mass.     Indeed, a neutrino is massive, but only just.  While
scientists have yet to ascertain a neutrino's true mass, they do know that
the three neutrino types have different masses and the sum of these three
masses is about one millionth that of an electron.  Just as a reminder, an
electron is a wraith of a thing:  it is 1835 less massive than a proton,
the positively charged particle within an atomic nucleus.      Although
neutrinos are lightweights even in the ghostly realm of the
sub-microscopic, they exist in a vast abundance.  Every second, billions of
neutrinos pass harmlessly through your body and then move through Earth
without the least impediment.     These neutrinos originate in the Sun, the
cores of other stars and some date back to the Universe's infancy.     Is
it possible that the  octillions of neutrinos roaming about the galaxy
could be contributing to its mass?     The problem with this notion is that
many neutrinos might still be massless. Also, it is difficult to imagine
that these neutrinos could account for 84% of the galaxy's missing matter.

[image: GettyImages-183855558-09be97316a69407dbc8e4639bd7e6649.jpg]
Neutrinos!  Despite this artistic depiction, neutrinos are not luminous.
Instead, they are nearly massive particles produced by nuclear reactions.


Other possible dark matter candidates could be MACHOS (Massive Compact Halo
Objects).  These are objects such as brown dwarfs (protostars that lacked
the sufficient mass to produce fusion-inducing core temperatures), planets
and even other non-luminous materials such as comets and asteroids.
  While these objects could possibly represent a small fraction of dark
matter, it is difficult to imagine that all these extraneous bodies could
amount to the majority of galactic material.   In our own solar system, the
Sun accounts for 99.8% of the material within it.   (A sobering reminder of
how minuscule even our entire planet is relative to the Sun.)

These are two of the leading contenders.  Many others have been suggested,
even the notion that dark matter is caused by the gravitational influence
of a parallel Universe.   The true problem with that hypothesis is that it
doesn't lend itself to direct or even indirect observational evidence.

We mention dark matter today because we are exploring the galaxy.  This
exploration would be incomplete without an examination of dark matter,
which accounts for most of the material comprising the Milky Way.   Its
true nature remains one of astrophysics' most confounding mysteries.


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