Fly by of 10 hard to reach asteroids

What would be the value of a fly by of an asteroid, apart from pretty
pictures ?

Sometime ago I saw an idea on the Net, where a space probe would be
inserted in an orbit, with same perihelion and aphelion as the
asteroid, and same orientation *except* the inclination.

The probe would pass the asteroid each time it crosses the ecliptic.

With the DS-1 type ion motor, it must be possible to make a probe
visit the points where difficult-to-reach asteroids cross the ecliptic
at the time when they cross it.

You won't get all the data, but a set of data, that can start being
used in statistics.

And the probe flies in the ecliptic level, which is easiest to reach.

Regards

Carsten Nielsen
Denmark