Accurate measurements of stellar positions and velocities are crucial for studying galactic and stellar dynamics.W aim to create a Cartesian catalog from Gaia DR3 to serve as a high-precision database for further rese...Accurate measurements of stellar positions and velocities are crucial for studying galactic and stellar dynamics.W aim to create a Cartesian catalog from Gaia DR3 to serve as a high-precision database for further research using stellar coordinates and velocities.To avoid the negative parallax values,we select 31,129,169 sources in Gaia DR3with radial velocity,where the fractional parallax error is less than 20%(0<σ■/■<0.2).To select the mos accurate and efficient method of propagating mean and covariance,we use the Monte Carlo results with 10^(7)samples (MC7) as the benchmark,and compare the precision of linear,second-order,and Monte Carlo erro propagation methods.By assessing the accuracy of propagated mean and covariance,we observe that second-orde error propagation exhibits mean deviations of at most 0.5%compared to MC7,with variance deviations of up to10%.Overall,this outperforms linear transformation.Though the Monte Carlo method with 10^(4) samples (MC4) i an order of magnitude slower than second-order error propagation,its covariance propagation accuracy reaches 1%whenσ■/■is below 15%.Consequently,we employ second-order error propagation to convert the mean astrometry and radial velocity into Cartesian coordinates and velocities in both equatorial and galactic systems fo30 million Gaia sources,and apply MC4 for covariance propagation.The Cartesian catalog and source code ar provided for future applications in high-precision stellar and galactic dynamics.展开更多
基金supported by the National Key R&D Program of China,No.2024YFA1611801 and No.2024YFC2207800the National Natural Science Foundation of China (NSFC) under Grant No.12473066supported by Shanghai Jiao Tong University 2030 Initiative.W.W.is supported by NSFC (Grant Nos.12022307 and 12273021)。
文摘Accurate measurements of stellar positions and velocities are crucial for studying galactic and stellar dynamics.W aim to create a Cartesian catalog from Gaia DR3 to serve as a high-precision database for further research using stellar coordinates and velocities.To avoid the negative parallax values,we select 31,129,169 sources in Gaia DR3with radial velocity,where the fractional parallax error is less than 20%(0<σ■/■<0.2).To select the mos accurate and efficient method of propagating mean and covariance,we use the Monte Carlo results with 10^(7)samples (MC7) as the benchmark,and compare the precision of linear,second-order,and Monte Carlo erro propagation methods.By assessing the accuracy of propagated mean and covariance,we observe that second-orde error propagation exhibits mean deviations of at most 0.5%compared to MC7,with variance deviations of up to10%.Overall,this outperforms linear transformation.Though the Monte Carlo method with 10^(4) samples (MC4) i an order of magnitude slower than second-order error propagation,its covariance propagation accuracy reaches 1%whenσ■/■is below 15%.Consequently,we employ second-order error propagation to convert the mean astrometry and radial velocity into Cartesian coordinates and velocities in both equatorial and galactic systems fo30 million Gaia sources,and apply MC4 for covariance propagation.The Cartesian catalog and source code ar provided for future applications in high-precision stellar and galactic dynamics.
