Intercept a NEO trajectory
Assuming that you have a phaser array sufficiently powerful to pulverize the NEO into a harmless meteor storm,
I read this as a question of when an object with those geocentric orbital elements arrives at perigee.
However, I get a different value for $r$ if I treat that $\nu$ value as a true anomaly; it could be a mean anomaly or hyperbolic anomaly instead.

I suppose your textbook covers this stuff in detail, but for other readers
these lecture notes
by M. Peet at ASU, using $f$ instead of $\nu$, may help.