  The space-borne gravitational wave (GW) detectors, LISA and TAIJI, are
planned to be launched in the 2030s. The dual detectors with comparable
sensitivities will form a network observing GW with significant advantages. In
this work, we investigate the three possible LISA-TAIJI networks for the
different location and orientation compositions of LISA orbit ($+60^\circ$
inclination and trailing the Earth by $20^\circ$) and alternative TAIJI orbit
configurations including TAIJIp ($+60^\circ$ inclination and leading the Earth
by $20^\circ$), TAIJIc ($+60^\circ$ inclination and co-located with LISA),
TAIJIm ($-60^\circ$ inclination and leading the Earth by $20^\circ$). In the
three LISA-TAIJI configurations, the LISA-TAIJIm network shows the best
performance on the sky localization and polarization determination for the
massive binary system due to their better complementary antenna pattern, and
LISA-TAIJIc could achieve the best cross-correlation and observe the stochastic
GW background with an optimal sensitivity.
