标准相对论效应对类盖亚天体测量星表的影响
The influence of standard relativistic effects on Gaia-like astrometric catalogs
- Technische Universität Dresden（德累斯顿工业大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究类盖亚天体测量望远镜观测中未计入的相对论效应对源天体测量参数的影响，利用AGISLab模拟发现，经多观测平均后参数误差远小于单次观测的相对论效应，或可简化未来高精度项目的相对论模型。
AI中文摘要：
随着盖亚（Gaia）等天体测量空间望远镜的观测精度不断提升，用于位置天文学的牛顿理论框架已不再适用。为了建模对应精度水平下所有相关效应，需要采用广义相对论框架中更为复杂的描述方式。众所周知，各类相对论效应对给定天体测量观测的影响是明确的，尤其对于给定观测者，可轻松估算太阳系天体的最大光偏折量。然而，给定源的天体测量参数是通过对该源的一系列观测计算得到的；根据相对论效应的不同，在某一给定精度水平下，受该效应影响的观测占比可能变化，且可能非常小。本文的目标是研究未被计入的相对论效应对类盖亚天体测量望远镜观测的源的天体测量参数的影响。采用类盖亚的标准相对论框架，以凸显某些最显著的此类效应；随后，使用模拟工具AGISLab，对给定数量源的类盖亚观测数据进行拟合，拟合采用类盖亚标准天体测量源参数模型，但使用不同的不完整相对论模型，由此得到若放弃相对论模型的不同元素时天体测量参数的误差，同时提供并讨论了误差的简化解析描述。研究表明，由于对每个源的多次观测取平均，天体测量参数的误差远小于单次观测中对应的相对论效应，这为未来精度高于盖亚的天体测量项目简化相对论模型开辟了途径。
英文摘要：
With the observational accuracy of astrometric space telescopes such as Gaia, the Newtonian theoretical framework for positional astronomy is no longer appropriate. To model all effects relevant at the corresponding levels of accuracy, a more sophisticated description in the framework of General Relativity is required. It is generally known how various relativistic effects affect a given astrometric observation. In particular, the maximal light deflection of a given Solar System body can be easily estimated for a given observer. However, astrometric parameters for a given source are computed from a series of observations of that source. Depending on the relativistic effect, the fraction of observations affected, at some given level of accuracy, by that relativistic effect can vary and also be very small. Our goal is to investigate the impact of unaccounted relativistic effects on the astrometric parameters of a source observed by a Gaia-like astrometric telescope. The standard relativistic framework for Gaia is used to highlight such effects in some cases where they are most significant. Then, using the simulation tool AGISLab, we fit a set of Gaia-like observations of a given number of sources to the standard Gaia-like astrometric model for astrometric source parameters, but using different incomplete relativistic models. In this way we obtain the errors of the astrometric parameters if one were to drop different elements of the relativity model. A simplified analytical description of the errors is also provided and discussed. We demonstrate that, due to averaging over many observations per source, the errors in the astrometric parameters are drastically smaller than the corresponding relativistic effects in individual observations. This opens a way to potentially simplify the relativistic model for future astrometric projects aiming for higher accuracy than Gaia.
