  It is well known that observers will be accelerated when they approach the
planets. Thus, discussing the properties of accelerating observers in the
Schwarzschild space is of sense. For the sake of simplicity, we can construct
these observers' world lines by comparing with the observers in the Hawking
effect and Unruh effect, whose world lines are both hyperbolic curves in the
appropriate coordinates. We do it after defining a certain special null
hypersurface in the Kruskal coordinates. Our result shows that these
accelerating observers defined in our paper can also detect the radiation with
the analogy of the Unruh effect, though locally. Furthermore, we conjecture
that, for any null hypersurface in any spacetime, the corresponding observers
who can at least locally detect the radiation from it can be found.
