The Doppler tracking data from two deep-space spacecraft, Pioneer 10 and 11,
show an anomalous blueshift, which has been dubbed the "Pioneer anomaly". The
effect is most commonly interpreted as a real deceleration of the spacecraft -
an interpretation that faces serious challenges from planetary ephemerides. The
Pioneer anomaly could as well indicate an unknown effect on the radio signal
itself. Several authors have made suggestions how such a blueshift could be
related to cosmology. We consider this interpretation of the Pioneer anomaly
and study the impact of an anomalous blueshift on the Laser Interferometer
Space Antenna (LISA), a planned joint ESA-NASA mission aiming at the detection
of gravitational waves. The relative frequency shift (proportional to the light
travel time) for the LISA arm length is estimated to 10E-16, which is much
bigger than the expected amplitude of gravitational waves. The anomalous
blueshift enters the LISA signal in two ways, as a small term folded with the
gravitational wave signal, and as larger term at low frequencies. A detail
analysis shows that both contributions remain undetectable and do not impair
the gravitational-wave detection. This suggests that the Pioneer anomaly will
have to be tested in the outer Solar system regardless if the effect is caused
by an anomalous blueshift or by a real force.Comment: 19 pages, 4 figures. Talk given by D. Defrere at the conference
"Lasers, Clocks, and Drag-Free", ZARM, Bremen, Germany, 30 May - 1 June 200