LISA is considered to be launched alongside the Athena to probe the energetic astrophysical processes. LISA can determine the direction of sources for Athena’s follow-up observation. As another space gravitational wave mission, TAIJI is expected to be launched in the 2030s. The LISA-TAIJI network would provide abundant merits for sources understanding. In this work, we simulate the joint LISA-TAIJI observations for gravitational waves from coalescing supermassive black hole binaries and monochromatic sources. By using the numerical mission orbits, we evaluate the performances of sky localization for various time-delay interferometry channels. For 30 days observation until coalescence, the LISA-TAIJI network in optimal operation can localize all simulated binary sources, $({10}^7,3.3\times {10}^6)M_{\odot }$, $({10}^6,3.3\times {10}^5)M_{\odot }$ and $({10}^5,3.3\times {10}^4)M_{\odot }$ at redshift $z=2$, in 0.4 deg${}^2$ (field of view of Wide Field Imager on Athena). The angular resolution can be improved by more than 10 times comparing to LISA or TAIJI single detector at a given percentage of population. The improvements for monochromatic sources at 3 mHz and 10 mHz are relatively moderate in one-year observation. The precision of sky localization could be improved by a factor of 2 to 4 comparing to single LISA at a given percentage of sources. For a simulated 90 days observation for monochromatic waves, the LISA-TAIJI network still represents a considerable localization advantage which could be more than 10 times better.

中文翻译：

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LISA-太极联合观测的天空定位数值模拟

LISA被认为是与雅典娜一起发射的，以探测充满活力的天体物理过程。LISA可以确定雅典娜后续观察的来源方向。作为另一项太空引力波任务，太极拳有望在2030年代发射升空。LISA-TAIJI网络将为信息来源提供丰富的优势。在这项工作中，我们模拟了LISA-TAIJI联合观测值，这些观测值是合并超质量黑洞双星和单色源产生的引力波的结果。通过使用数字任务轨道，我们评估了各种时延干涉测量通道的天空定位性能。LISA-TAIJI网络以最佳状态运行30天，直到合并为止，可以定位所有模拟的二进制源，$（{10}^7，3.3\times {10}^6）{\mathrm{中号}}_{\odot }$， $（{10}^6，3.3\times {10}^5）{\mathrm{中号}}_{\odot }$ 和 $（{10}^5，3.3\times {10}^4）{\mathrm{中号}}_{\odot }$ 在红移 $ž=2$，在0.4度${}^2$（雅典娜广角成像仪的视野）。在给定的人口百分比下，与LISA或TAIJI单探测器相比，角分辨率可以提高10倍以上。在一年的观察中，单色光源在3 mHz和10 mHz处的改善相对中等。与给定百分比的源中的单个LISA相比，天空定位的精度可以提高2-4倍。对于模拟的90天单色波观测，LISA-TAIJI网络仍然具有相当大的本地化优势，可以提高10倍以上。