岁差周期为半年的倾斜ASTROD-GW编队轨道优化与时延干涉测量
Orbit optimization and time delay interferometry for inclined ASTROD-GW formation with half-year precession-period
摘要：
ASTROD-GW（ASTROD [使用光学装置进行相对论天体动力学空间测试]，针对引力波探测进行了优化）是一项引力波飞行任务，目的是探测来自大质量黑洞、极端质量比螺旋星系和银河系致密双星的引力波，同时测试相对论引力并探测暗能量和宇宙学。三个航天器组成一个近似等边三角形阵列，任务轨道选择在日地拉格朗日点L3、L4和L5附近。这三个航天器的范围干涉彼此的臂长约2.6亿公里。对于260倍的臂长，ASTROD-GW的检测灵敏度是260倍，在较低的频率区域，通过假设相同的加速度噪声比eLISA/NGO。因此，ASTROD-GW将是一个更好的宇宙学探测器。在以前的论文中，我们已经计算出了黄道层的时间延迟干涉术（TDI）。为了解决震源定位中关于黄道面反射的模糊性，我们将基本地层改为岁差周期为半年的微倾斜地层。本文利用星历框架对一组从2035年6月21日开始的10年倾斜ASTROD-GW任务轨道进行了数值优化，包括倾角为0°（无倾角）、0.5°、1.0°、1.5°、2.0°、2.5°和3.0°的情况。我们模拟的时间延迟的第一代和第二代TDI配置为不同的倾角，并比较/分析的数值结果，以达到所需的灵敏度ASTROD-GW抑制激光频率噪声低于二次噪声。为了说明不同倾角情况下的计算过程，我们以1.0°为例进行了轨道优化和TDI仿真。
英文摘要：
ASTROD-GW (ASTROD [Astrodynamical Space Test of Relativity using Optical Devices] optimized for Gravitational Wave detection) is a gravitational-wave mission with the aim of detecting gravitational waves from massive black holes, extreme mass ratio inspirals (EMRIs) and galactic compact binaries, together with testing relativistic gravity and probing dark energy and cosmology. Mission orbits of the 3 spacecrafts forming a nearly equilateral triangular array are chosen to be near the Sun-Earth Lagrange points L3, L4 and L5. The 3 spacecrafts range interferometrically with one another with arm length about 260 million kilometers. For 260 times longer arm length, the detection sensitivity of ASTROD-GW is 260 fold better than that of eLISA/NGO in the lower frequency region by assuming the same acceleration noise. Therefore, ASTROD-GW will be a better cosmological probe. In previous papers, we have worked out the time delay interferometry (TDI) for the ecliptic formation. To resolve the reflection ambiguity about the ecliptic plane in source position determination, we have changed the basic formation into slightly inclined formation with half-year precession-period. In this paper, we optimize a set of 10-year inclined ASTROD-GW mission orbits numerically using ephemeris framework starting at June 21, 2035, including cases of inclination angle is 0° (no inclination), 0.5°, 1.0°, 1.5°, 2.0°, 2.5° and 3.0°. We simulate the time delays of the first and second generation TDI configurations for the different inclinations, and compare/analyse the numerical results to attain the requisite sensitivity of ASTROD-GW by suppressing laser frequency noise below the secondary noises. To explicate our calculation process for different inclination cases, we take the 1.0° as example to show the orbit optimization and TDI simulation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
