Why does it compare the sun to a Chasan leaving his Chupah?
Rashi: Every morning [it rises] - this is "ha'Shamayim Mesaperim Kevod Kel" 2].
Radak: It goes out with its radiance and beauty; all are happy with its light.
Radak citing his father: The Chasan yearns to return to his Kalah. So the sun returns every day to the place where it shines.
Malbim: There are two movements of the sun. (a) Every year it makes one circle that passes through each of the Mazalos. (b) Every day it orbits the earth along the equator, from east to west. The daily orbit is due to the daily sphere [that rotates every day]; the sun is forced, like a Chasan forced to leave his Chupah. Also refer to 19:6:2:2.
Why is the sun happy like a Gibor?
Radak: It will not stumble in its running. A Gibor is happy to go to war. And so it says about a horse "v'Yasis b'Cho'ach Yetzei Likras Nashek" (Iyov 39:21). So the sun is happy to rise.
Malbim: This refers to its own movement, on its annual path (refer to 19:6:1:4). It is called Orach, which is a path that goes off the main road to villages. So its annual path is not over the equator (it veers from the major path that it goes on each day).