Jesus' Birth

One possibility is that Jesus was conceived in the sixth month March counting from the day of Atonement in September and born in January/February. Sheep were bred in late August to be born 144 days later in January when the grass began to grow, thus the shepherds watching their flock then:
Luke 2:1 "And it came to pass in those days, that there went out a decree from Caesar Augustus, that all the world should be taxed.
2 (And this taxing was first made when Cyrenius was governor of Syria.)
3 And all went to be taxed, every one into his own city.
4 And Joseph also went up from Galilee, out of the city of Nazareth, into Judaea, unto the city of David, which is called Bethlehem; (because he was of the house and lineage of David:)
5 To be taxed with Mary his espoused wife, being great with child.
6 And so it was, that, while they were there, the days were accomplished that she should be delivered.
7 And she brought forth her firstborn son, and wrapped him in swaddling clothes, and laid him in a manger; because there was no room for them in the inn.
8 And there were in the same country shepherds abiding in the field, keeping watch over their flock by night.
9 And, lo, the angel of the Lord came upon them, and the glory of the Lord shone round about them: and they were sore afraid.
10 And the angel said unto them, Fear not: for, behold, I bring you good tidings of great joy, which shall be to all people.
11 For unto you is born this day in the city of David a Saviour, which is Christ the Lord.
12 And this shall be a sign unto you; Ye shall find the babe wrapped in swaddling clothes, lying in a manger.
13 And suddenly there was with the angel a multitude of the heavenly host praising God, and saying,
14 Glory to God in the highest, and on earth peace, good will toward men.
15 And it came to pass, as the angels were gone away from them into heaven, the shepherds said one to another, Let us now go even unto Bethlehem, and see this thing which is come to pass, which the Lord hath made known unto us.
16 And they came with haste, and found Mary, and Joseph, and the babe lying in a manger.
17 And when they had seen it, they made known abroad the saying which was told them concerning this child.
18 And all they that heard it wondered at those things which were told them by the shepherds.
19 But Mary kept all these things, and pondered them in her heart.
20 And the shepherds returned, glorifying and praising God for all the things that they had heard and seen, as it was told unto them."

Isaiah 60: 1 "Arise, shine; for thy light is come, the glory of the LORD is risen upon thee.
2 For, behold, the darkness shall cover the earth, and gross darkness the people: but the LORD shall arise upon thee, and his glory shall be seen upon thee.
3 And the Gentiles shall come to thy light, and kings before, or to announce your dawn."
This must be in part the prophesy of the star in the east that the wise men followed.
Numbers 24:17 "I shall see him, but not now: I shall behold him, but not nigh: there shall come a Star out of Jacob, and a Sceptre shall rise out of Israel, and shall smite the corners of Moab, and destroy all the children of Sheth."
That is, the wisemen may have been familiar with these verses and when they saw this star appear and perhaps stand over Israel they realized that it was the prophesy of the birth of the Christ and followed it, until it led them to stand over the house of Joseph and Mary, where the child Jesus lay. The sixth month must have counted from the day of Atonement in September:
Luke 1:26 "And in the sixth month the angel Gabriel was sent from God unto a city of Galilee, named Nazareth,
27 To a virgin espoused to a man whose name was Joseph, of the house of David; and the virgin's name was Mary."
Thus the sixth month must be March. Lambing season begins at the end of January. Thus Arcturus would be directly above where Jesus was born about 4AM January just before dawn just as in Isaiah 60:1-3. The only single star I know mentioned in the Bible is Arcturus , which rises in the east at 10 PM January and passes directly above Bethlehem at exactly 90°.
Amos 7:8 "And the LORD said unto me, Amos, what seest thou? And I said, A plumbline. Then said the LORD, Behold, I will set a plumbline in the midst of my people Israel: I will not again pass by them any more:"
The seven stars of the Big Dipper would point straight up to Arcturus at 4AM late January. If the wisemen looked up a plumbline at 4AM in Bethlehem in January/February 4 BC they would see Arcturus. The wisemen came after Jesus was born. So they may have come in March. Herod died at the end of March. Even just looking up you can tell if a star is directly above you.

Matthew 2:1 "Now when Jesus was born in Bethlehem of Judaea in the days of Herod the king, behold, there came wise men from the east to Jerusalem,
2 Saying, Where is he that is born King of the Jews? for we have seen his star in the east, and are come to worship him.
3 When Herod the king had heard these things, he was troubled, and all Jerusalem with him.
4 And when he had gathered all the chief priests and scribes of the people together, he demanded of them where Christ should be born.
5 And they said unto him, In Bethlehem of Judaea: for thus it is written by the prophet,
6 And thou Bethlehem, in the land of Juda, art not the least among the princes of Juda: for out of thee shall come a Governor, that shall rule my people Israel.
7 Then Herod, when he had privily called the wise men, inquired of them diligently what time the star appeared.
8 And he sent them to Bethlehem, and said, Go and search diligently for the young child; and when ye have found him, bring me word again, that I may come and worship him also.
9 When they had heard the king, they departed; and, lo, the star, which they saw in the east, went before them, till it came and stood over where the young child was.
10 When they saw the star, they rejoiced with exceeding great joy.
11 And when they were come into the house, they saw the young child with Mary his mother, and fell down, and worshipped him: and when they had opened their treasures, they presented unto him gifts; gold, and frankincense, and myrrh.
12 And being warned of God in a dream that they should not return to Herod, they departed into their own country another way.
13 And when they were departed, behold, the angel of the Lord appeareth to Joseph in a dream, saying, Arise, and take the young child and his mother, and flee into Egypt, and be thou there until I bring thee word: for Herod will seek the young child to destroy him.
14 When he arose, he took the young child and his mother by night, and departed into Egypt:
15 And was there until the death of Herod: that it might be fulfilled which was spoken of the Lord by the prophet, saying, Out of Egypt have I called my son.
16 Then Herod, when he saw that he was mocked of the wise men, was exceeding wroth, and sent forth, and slew all the children that were in Bethlehem, and in all the coasts thereof, from two years old and under, according to the time which he had diligently inquired of the wise men.
17 Then was fulfilled that which was spoken by Jeremy the prophet, saying,
18 In Rama was there a voice heard, lamentation, and weeping, and great mourning, Rachel weeping for her children, and would not be comforted, because they are not.
19 But when Herod was dead, behold, an angel of the Lord appeareth in a dream to Joseph in Egypt,
20 Saying, Arise, and take the young child and his mother, and go into the land of Israel: for they are dead which sought the young child's life. 21 And he arose, and took the young child and his mother, and came into the land of Israel.
22 But when he heard that Archelaus did reign in Judaea in the room of his father Herod, he was afraid to go thither: notwithstanding, being warned of God in a dream, he turned aside into the parts of Galilee:
23 And he came and dwelt in a city called Nazareth: that it might be fulfilled which was spoken by the prophets, He shall be called a Nazarene."

Herod slew the children under two because he wanted to make sure he killed the King of Israel, a threat to his throne. He killed so many thousands of people for nothing, everything he did was over kill literally. And his reason for killing the children under two was not because the wise men said the star then appeared and Jesus was then born. Jesus' life was endanger almost immediately and Joseph and Mary probably spent less than two months in Bethlehem before fleeing into Egypt.
Jesus began to be about 30 at the beginning of his ministry. The text says "about". Jesus would be 34 in 31 AD the year of the jubile perhaps the year Jesus began his ministry. He would be 33 in 30 AD when he may have begun his homeless ministry. About the time of the passover:
John 1:36 "And looking upon Jesus as he walked, he saith, Behold the Lamb of God!"
Luke 3:22 "And the Holy Ghost descended in a bodily shape like a dove upon him, and a voice came from heaven, which said, Thou art my beloved Son; in thee I am well pleased.
23a And Jesus began to be about thirty years of age,"
The constellation of Arcturus looks like a Y much like the cross. In ancient times the constellation of Arturus was pictured as the torso of a man. Perhaps God made Arturus brighter or shifted earth to make Arcturus stand still for an hour to get the attention of the wisemen. You can see Arcturus in the circle depicted directly above Bethlehem late January at 4AM in 4 BC:
The Greeks based their first calendars on the rising and setting of Orion, Pleiades and Arcturus. Likewise, as Orion sets in the west in April at sunset Arcturus rises in the east. There must have been something very striking to "the star in the east" to lead the wisemen to Jesus.
Job 38:32 - "canst thou guide Arcturus with his sons?"
Arcturus is moving rapidly through our Milky Way Galaxy. God must have guided Arcturus to pass over Bethlehem at 90° as it did in January/February 4 BC.
Luke 3:21 "Now when all the people were baptized, it came to pass, that Jesus also being baptized, and praying, the heaven was opened,
22 And the Holy Ghost descended in a bodily shape like a dove upon him, and a voice came from heaven, which said, Thou art my beloved Son; in thee I am well pleased.
23 And Jesus himself began to be about thirty years of age, "
Luke 4:1 "And Jesus being full of the Holy Ghost returned from Jordan, and was led by the Spirit into the wilderness,
2 Being forty days tempted of the devil."
The year of the jubile began September 15 31 AD and the rest of land the 49th year began the September before. Thus Jesus' ministry may have been two years two months counting from February 31 AD to April 3 33 AD or 3 1/2 years from the beginning of this 49th year September 29 AD. The forty days of temptation in the wilderness may have been before the passover 31 AD or 30 AD. Then Jesus may have been born in lambing season about January/February. Thus the identification of Jesus with the passover lamb. Then John the Baptist's birthday must have been in June and Jesus' birthday about February. There were no more sun miracles recorded after the year of our LORD and the dates of the many sun miracles before Jesus' birth point to the year of his birth in 4 BC. Herod died in late March 4 BC. Thus he would have ordered all the boys two and under killed in Bethlehem when he saw he was mocked of the wisemen and Joseph and Mary fled to Egypt. Then they would hear of Herod's death in April and return to Nazareth. Then Jesus would be 36 when he was crucified April 3 33 AD and resurrected April 5.