Imaging sensitivity of a linear interferometer array on lunar orbit

Ground-based observation at frequencies below 30 MHz is hindered by the ionosphere of Earth and radio frequency interference. To map sky these low frequencies, we have proposed Discovering Sky Longest wavelength mission (DSL, also known as "Hongmeng" mission, which means "Primordial Universe" in Chinese) concept, employs a linear array micro-satellites orbiting Moon. Such an can be deployed to lunar orbit single rocket launch, it make interferometric observations achieving good angular resolutions despite small size antennas. However, differs from conventional ground-based interferometer or even previous orbital interferometers many aspects, new data-processing methods need developed. In this work, series simulations assess imaging quality sensitivity such array. We start with input model simple model, generate mock visibilities, then reconstruct map. consider various observational effects practical issues, system noise, antenna response, Moon blockage. Based on recovered image, quantify capability for different satellite numbers configurations. For first time, estimates point source array, predict expected number detectable sources mission. Depending distribution still very uncertain detect $10^2 \sim 10^4$ during its operation.