Yes we are traveling towards something - a black hole. Everything we know and see will one day be simply eaten by immense center of gravity.
Sounds to me like a cool way to go out.
Anyway, the trajectory/sperm cell analogy is fun. To make an analogy with bacteria would be even more fun, since bacterial flagella actually rotate around an axle. But the thing which kinda kills it (and makes another interesting thought topic) is how solar system does not travel of his own volition (if that's the right expression), but rather is forced onto this trajectory by universal laws of physics. Sperm cells, on the other hand, move with their flagella independently of what's happening around them - because they can.
Why something as immense as universe cannot move by its own power, but something as tiny and fragile as sperm cell can?
What are implications of this knowledge for the way a human should live?
"The Devil is not the Prince of Matter; the Devil is the arrogance of the spirit, faith without smile, truth that is never seized by doubt. The Devil is grim because he knows where he is going, and, in moving, he always returns whence he came."