Title: Chang'e 3 lunar mission and upper limit on stochastic background of gravitational wave around the 0.01 Hz band,
Abstract: The Doppler tracking data of the Chang'e 3 lunar mission is used to constrain
the stochastic background of gravitational wave in cosmology within the 1 mHz
to 0.05 Hz frequency band. Our result improves on the upper bound on the energy
density of the stochastic background of gravitational wave in the 0.02 Hz to
0.05 Hz band obtained by the Apollo missions, with the improvement reaching
almost one order of magnitude at around 0.05 Hz. Detailed noise analysis of the
Doppler tracking data is also presented, with the prospect that these noise
sources will be mitigated in future Chinese deep space missions. A feasibility
study is also undertaken to understand the scientific capability of the Chang'e
4 mission, due to be launched in 2018, in relation to the stochastic
gravitational wave background around 0.01 Hz. The study indicates that the
upper bound on the energy density may be further improved by another order of
magnitude from the Chang'e 3 mission, which will fill the gap in the frequency
band from 0.02 Hz to 0.1 Hz in the foreseeable future.