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From:
Edward Gleason <[log in to unmask]>
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Edward Gleason <[log in to unmask]>
Date:
Wed, 15 Jul 2020 11:04:53 -0400
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[image: Hestia_Giustiniani.jpg]
*Hestia:  the forgotten goddess*
The Titan Cronos and his sister Rhea sired the first generation of gods.
Their children were Zeus, Hera, Demeter, Hades, Poseidon, and Hestia, the
last of whom was the first born.     However, Cronos swallowed all these
children except Zeus out of fear that they would overthrow him.  Soon
after,  Zeus and Rhea tricked Cronos into swallowing an emetic that caused
him to vomit up his children.   Of these, Hestia was the last to be
regurgitated.  For this reason she is often confusingly called both the
"first" and "last" born.  Unlike her illustrious siblings, Hestia is the
least known child of Cronos and Rhea.   Paradoxically, we can ascribe her
obscurity to her ubiquity: she was the goddess presiding over home, hearth
and family.  In this capacity she served as a guardian of domestic life and
strove to protect each family from menace.    As the home was her sole
domain, Hestia took no part in the wars and quests in which the other gods
participated.  While having been otherwise engaged prevented Hestia from
making many enemies or sustaining a grievous injury, she never attained the
wide acclaim the world bestowed on the other deities.    She became the
quiet shade of a goddess who dwelt in shadowy corners and enlivened hearth
flame. As such home fires were both purifying and yet meager, Hestia was
worshipped as a virginal goddess more inclined toward tenderness than
rage.  In this manner she is distinguished from the furious and
ill-tempered Hephaestus, god of fire and furnaces.  Both Poseidon and
Apollo attempted seductions, but were gently thwarted in these efforts.
 Such was their respect for Hestia that they neither persisted in these
pursuits nor did they avenge the rejections.  Even Aphrodite, the love
goddess notorious for smiting those who resisted love's allures, did
nothing to punish Hestia for her obstinate determination to remain chaste.
By being both gentle and unyielding did Hestia forever maintain her
dominion over house and hearth. Yet, though she was initially included as
one of the dozen deities dubbed "the Olympians."   Hestia lost her coveted
place to another lover of mortals, Dionysus.   No grand combat between
Dionysus and Hestia preceded this usurpation.   Dionysus merely assumed her
place and Hestia relinquished it without protest.     She knew she was much
more suited for humble abodes than boundless skies.  Within the
mythological universe one will find her there still: a quiet goddess
content to maintain the sanctity of mortal homes and sustain the vital
flames of the hearth.   While most gods and goddesses reside at
unattainable heights, Hestia is as close as the nearest threshold,   It is
little wonder, then, that she was taken for granted and then largely
forgotten.

THE SOUTHWORTH PLANETARIUM
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THE DAILY ASTRONOMER
Wednesday, July 15, 2020
Remote Planetarium 65:  Exo-Planets II - The Transit Method

Yesterday we started our discussion about exo-planet detection techniques
with a class about the "wobble" or "radial velocity" method.   This method
enables astronomers to detect planets by observing the wobbles they induce
in their parent stars.   The limitation of this method is that it is useful
only for finding planets sufficiently massive to produce measurable
wobbles.   Earth-sized worlds do not induce such wobbles.   Finding such
worlds is the aim of those seeking other life for it is assumed -perhaps
wrongly- that only Earth-sized planets can harbor life.*   Detecting these
smaller planets requires other methods than those involving gravitational
perturbations.  Fortunately, astronomers have developed other, more
sensitive exo-planet detection techniques.  The most successful of these
methods involves "transits,' the passage of a planet across its parent star.


[image: TV2004-sequence-espenak-341px.jpg]

The image above shows Venus during different stages of its June 2012
transit across the Sun.     When in transit,  the second planet appears to
move directly in front of the Sun.   During the transit, the Sun's
brightness from our perspective diminished slightly.      The transit
method involves observing the alterations in a star's brightness that occur
when a planet moves in front of it from our perspective.

[image: download.jpg]

As seen in the above graphic a star's brightness diminishes during a
planetary transit.  The light curve remains steady prior to the transit and
then bends downwards as the planet first moves in front of the star.  The
light curve attains its minimum level during the planet's passage and then
ascends as the planet moves away from the star.

The light curve, itself, can reveal much about the planet.


   - The duration of the minimum reveals information about the length of
   time the planet required to transit the Sun.     When compared with
   subsequent light curves, an astronomer can determine the respective
   altitudes of the passages.  Also, the timing between successive transits
   reveals the planet's period.      As Kepler's laws demonstrated, a planet's
   period is directly related to the mean distance.  By knowing the period,
   the planet's mean distance and other aspects of the orbit can be determined.
   - The depth of the curve relates to the planet's size.  The deeper the
   bend, the larger the planet.   The formula below relates the light curve
   depth to the ratio of the planet's radius and the star's radius.

[image: rprs.png]

As we can see in the graphic below, the light curve depth is affected by
the star's size and that of the transiting planet.   If the astronomer can
ascertain the star's size through the employment of other methods, he/she
can discern the planet's size by analysis of this curve.
[image: starsizedepth.png]

In 2002, the Polish astronomer Maciej Konacki and his team discovered
OGLE-TR-56b, the first exo-planet through use of the transit method.
 Located about 5000 light years away in the constellation Sagittarius,
OGLE-TR-56b is slightly more massive than Jupiter and orbits its parent
star in 1.29 days.     This planet is an example of a "Hot Jupiter," a
highly massive planet orbiting relatively closely to its parent star.**

[image: unnamed.png]

Ever since that first discovery, astronomers have found more than 2,300
planets using the transit method.  We ascribe most of these discoveries to
the Kepler mission which will be the focus of tomorrow's class.

*How often have assumptions been proven to be wrong.    Astronomers assume
that life can only thrive on rocky planets with comparatively thin
atmospheres such as Earth.  They base this assumption on their knowledge of
the one known life-bearing world.      It is possible that life could
thrive on other types of worlds, as well.

**In the previous footnote we mentioned how sometimes our assumptions can
be off-base.  The existence of "Hot Jupiters" serves as a perfect example.
 Prior to the discovery of exo-planets, many astronomers assumed that small
rocky worlds would revolve close to their stars while the highly massive
ones were farther away.    That is the arrangement in our own solar
system.   The terrestrial planets Mercury, Venus, Earth and Mars are closer
to the Sun while Jupiter, Saturn, Uranus and Neptune are farther away.   As
the conditions along the outer solar system are cooler, the volatile gases
such as hydrogen and helium move more slowly and  so were able to become
incorporated into the outer planets.  The temperatures in the inner solar
system are higher and so in this region such gases move much more quickly
and could not be captured.     Many astronomers assumed that planets
throughout the Universe would be so arranged.   Of course, they aren't.

___________________________________________
SKYWATCHING TIP:   Pegasus rising!

[image: 107536334f9a3b85f42945459aeb3dbf.jpg]
No, autumn has not yet arrived.  However, early this evening one can see
the constellation Pegasus rising in the eastern sky.       Around 9:00 p.m.
one will see the "great square" above the horizon.     Pegasus is
considered an autumn constellation because it is during the early fall one
can see it easily high in the eastern evening sky.    Mid July is the time
when it rises around sunset.
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