  Studies of binary pulsars provide insight into various theories of physics.
Detection of such systems is challenging due to the Doppler modulation of the
pulsed signal caused by the orbital motion of the pulsar. We investigated the
loss of sensitivity in eccentric binary systems for different types of
companions. This reduction of sensitivity should be considered in future
population synthesis models for binary pulsars. This loss can be recovered
partially by employing the `acceleration search' algorithm and even better by
using the `acceleration-jerk search' algorithm.
