http://www.biblicalastronomy.com/astronomy1.htm

The newsletter for October from the above link has a
few sky signs for this season to read about it.  I
took the following quote from it which is in reference
to the verse in Revelation that says:

Revelation 12:1
Now a great sign appeared in heaven: a woman clothed
with the sun, with the moon under her feet, and on her
head a garland of twelve stars.

"During the time of the birth of Messiah, the event of
the woman being clothed with the sun and the moon
under her feet occurred mostly at the beginning of the
Seventh month on the Hebrew calendar, on Yom Teruah
(Day of Trumpets) when the solar-lunar cycle was
favorable for this event to occur (about every two to
three years).  But now, because of the precessional
movement of the earth, this occurs mostly at the
beginning of the Eighth month on the Hebrew calendar.
This event still occurs on or near the first day of
the Seventh month, but only when the first day falls
later in the year (from late September to early
October)."

Here is also an alternative set of feast dates taken
from this site:
 
"FEAST DATES

Below I have listed two sets of dates for each of the
feast days.  The first set is reckoned starting the
first day of the month according to sighting the new
moon from remote locations in Israel.  The second set
is reckoned according to sighting the new moon with
the naked eye from Jerusalem.  Take your pick after
much prayer.  Each is from the evening of the first
day to the evening of the second day.

Day of Trumpets                    Sep 15/16
Sep 16/17

Day of Atonement                   Sep 24/25
Sep 25/26

First Day Tabernacles              Sep 29/30
Sep 30/Oct 1

Last Great Day                     Oct 06/07  "
Oct 07/08

Here is a site that talks about reasons for Christ
coming during the Feast of Tabernacles:

http://godskingdomministries.org/SecondComing/Default.htm

Below is just a small excerpt from this link:

"The Midst of the Feast (of Tabernacles)

John 7:14 But when it was now the midst of the feast,
Jesus went up into the temple, and began to teach.

This prophetic pattern seems to indicate that Jesus
will come in the middle of the Feast of Tabernacles of
some year. The manner of His coming will be "in
secret" (Greek: kruptos, "hidden, concealed, secret").
Paul used this word in Romans 2:29, saying, "he is a
[true] Jew who is one inwardly." He will manifest
Himself in His temple TEACHING the Word to the people.
In the old order God inhabited buildings of wood and
stone, but today He has moved and taken residence in
His people. Paul says that we are the temples of God
now (1 Cor. 3:16). Therefore, what Jesus did in His
first coming--by suddenly appearing in the temple made
of wood and stone--is not what He will do the second
time. This time He will appear, or manifest Himself,
to the world in His people, His true temple. As we
have stated earlier, the overcomers will see Him face
to face, but the rest of the people will see Him
through veils of flesh in lesser degrees of
manifestation."

Malachi 3:1 says,
1 "Behold, I am going to send My messenger, and he
will clear the way before Me. And the Lord, whom you
seek, will suddenly come to His temple; and the
messenger of the covenant, in whom you delight,
behold, He is coming," says the LORD of hosts. 2 "But
who can endure the day of His coming? And who can
stand when He appears?"