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多普勒跟踪测量用于时空引力检验的尝试:(Ⅰ)理论建模
邓雪梅1, 谢懿2,3
1.中国科学院紫金山天文台, 南京 210008;2.南京大学天文与空间科学学院, 南京 210093;3.上海市空间导航与定位技术重点实验室, 上海 200030
摘要:
作为多普勒跟踪测量用于时空引力检验的尝试,在多普勒建模过程中加入了对于局部洛仑兹不变性(LLI)以及局部位置不变性(LPI)的检验参数。LLI/LPI是包括广义相对论在内的任何度规引力理论的基石。通过迭代求解多普勒建模过程中所需的光行时解,证明了只有在单程以及三程多普勒测量中可以检验LLI和LPI。鉴于该种测量手段无需额外载荷以及我国测控精度,可以尝试通过单/三程多普勒测量来检验LLI和LPI的科学目标。
关键词:  多普勒跟踪测量;引力;深空探测
DOI:10.15982/j.issn.2095-7777.2015.02.014
分类号:
基金项目:国家自然科学基金(11473027,11103085);江苏省自然科学基金(BK20131461);上海市空间导航与定位技术重点实验室基金(14DZ2276100)
The Trial of Probing Gravitation with Spacecraft Doppler Tracking: (I) Modeling
DENG Xuemei1, XIE Yi2,3
1.Purple Mountain Observatory, CAS, Nanjing 210008, China;2.Department of Astronomy, Nanjing University, Nanjing 210093, China;3.Shanghai Key Laboratory of Space Navigation and Position Techniques, Shanghai 200030, China
Abstract:
Currently two-way and three-way spacecraft Doppler tracking techniques are widely used and play important roles in control and navigation of deep space missions. Starting from a one-way Doppler model, we extend the theory to two-way and three-way Doppler models by making them include possible violations of the local Lorentz invariance (LLI) and the local position invariance (LPI) in order to test the Einstein equivalence principle, which is the cornerstone of general relativity and all other metric theories of gravity. After taking the finite speed of light into account, which is the so-called light time solution (LTS), we make these models depend on the time of reception of the signal only for practical convenience. We find that possible violations of LLI and LPI cannot affect two-way Doppler tracking under a linear approximation of LTS, although this approximation is sufficiently good for most cases in the solar system. We also know that, given the accuracy of measurement and control in China and no additional payload in this method, possible violations of LLI and LPI could be the scientific goals of Chinese measurement and control.
Key words:  Doppler tracking;gravitation;deep space exploration