Deep space Doppler speed measurement calculating method defined by double-precision floating point

Abstract

The invention belongs to the technical field of data processing and discloses a deep space Doppler speed measurement calculating method defined by a double-precision floating point. The deep space Doppler speed measurement calculating method comprises the following steps of: firstly, establishing a Doppler measurement equation according to a Doppler measurement principle; secondly, calculating a light equation of beginning and end time of an integration period by using a Taylor series expansion; and finally, substituting the light equation into a measurement equation to calculate Doppler speed measurement. By utilizing the deep space Doppler speed measurement calculating method disclosed by the invention, the calculation precision and calculation efficiency of the deep space exploration Doppler speed measurement are improved.

Description

Technical field [0001] The invention belongs to the technical field of data processing, and relates to a deep-space Doppler (Doppler) velocity measurement calculation method under the definition of double-precision floating point. Background technique [0002] At present, the calculation of Doppler in deep space exploration usually uses the method described in the book "Formulation for observed and computed values ​​of Deep Space Network data types for navigation". Using this method, if double-precision floating-point numbers are used to calculate light lines, the calculation accuracy is about Around picoseconds (where [] Means rounding, R is the detection distance, the unit is 100 million kilometers), this accuracy can only guarantee the calculation accuracy of 1mm / s (1 second integration period) in the processing of Doppler measurement data for detection tasks above 100 million kilometers. Obviously, it cannot meet the current accuracy requirements of 0.1mm / s or even 0.02mm / s....

AI Technical Summary

Problems solved by technology

Using this method, if double-precision floating-point numbers are used to calculate light lines, due to the influence of rounding errors, the calculation accuracy is about about picoseconds (of which [] Indicates rounding, R is the detection distance, the unit is 100 million kilometers), this accuracy can only guarantee the calculation accuracy of 1mm / s (1 second integration period) in the processing of Doppler measurement data for detection tasks of more than 100 million kilometers, Obviously, it cannot meet the current accuracy requirements of 0.1mm / s or even 0.02mm / s

The usual practice is to use quadruple-precision floating-point numbers instead of double-precision floating-point numbers when calculating light lines to improve calculation accuracy. However, although this method improves calculation accuracy, it reduces calculation efficiency.

Images