There are some interesting things to notice that are different about the Rapture (i.e. The Appearing) and the Second Coming.
At the rapture, only those who are looking for him will see him:
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Hebrews 9:28 ESV
So Christ, having been offered once to bear the sins of many, will appear a second time, not to deal with sin but to save those who are eagerly waiting for him.
Now contrast that with the second coming to the earth:
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Revelation 1:7
Behold, he cometh with clouds; and every eye shall see him, and they also which pierced him: and all kindreds of the earth shall wail because of him. Even so, Amen.
At the rapture, Jesus comes FOR His church :
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1 Thessalonians 4:17
Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord.
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John 14:3
And if I go and prepare a place for you, I will come again, and receive you unto myself; that where I am, there ye may be also.
However, at the second coming (after the tribulation period) , Christ comes WITH His saints:
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Jude 1:14
And Enoch also, the seventh from Adam, prophesied of these, saying, Behold, the Lord cometh with ten thousands of his saints.
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Revelation 19:14
And the armies which were in heaven followed him upon white horses, clothed in fine linen, white and clean.
At the rapture, the LORD calls His church up to a wedding/marriage:
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Matthew 25:10
And while they went to buy, the bridegroom came; and they that were ready went in with him to the marriage: and the door was shut.
But at the second coming to earth, He is returning from a wedding:
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Luke 12:36
And ye yourselves like unto men that wait for their lord, when he will return from the wedding; that when he cometh and knocketh, they may open unto him immediately.