Universal gravitation interference calculation method based on tetrahedral mass element division for pure gravity rail

Abstract

The invention discloses a universal gravitation interference calculation method based on tetrahedral mass element division for a pure gravity rail, belonging to the technical field of astrodynamics and scientific computing. The method comprises the following steps of: firstly, selecting a tetrahedron as the shape of a mass element to divide a spacecraft and defining the following parameters: a scale parameter SR, a length / width ratio parameter AR, a force geometry factor FGP and a gradient geometry factor GGP; then calculating the FGP and the GGP under different values of the SR and the AR toobtain a curve for representing the influence of the scale and the shape of the tetrahedral mass element on the calculation accuracy; then determining the scale of the tetrahedral mass element according to the required calculation accuracy and the influence curve and dividing a model of the spacecraft through the tetrahedral mass element according to the scale of the mass element; and finally, calculating the universal gravitation. Through the method, the universal gravitation of the spacecraft to the quality verification according to the required accuracy can be calculated. Under a given accuracy, the corresponding requirement on the scale of the tetrahedral mass element can be obtained and the mass element is divided according to the requirement so that the calculation of the universal gravitation is finished and the required accuracy is met.

Description

technical field [0001] The invention belongs to the technical field of aerospace dynamics and scientific calculation, and relates to a numerical calculation method for gravitational disturbance of a pure gravity orbit. Background technique [0002] In some fundamental physical space missions, a proof mass is required to fly along a purely gravitational orbit to provide a measurement basis to detect gravitational waves and test general relativity, including the LISA and ASTROD missions (see the journal Classical and Quantum Gravity 2003 The article "The LISA integrated model" in Volume 20 of 2007 and the article "ASTROD (Laser Astrodynamics) and ASTROD I"). Similarly, using the verification mass to fly along the near-Earth pure gravity orbit and obtain the verification mass pure gravity orbit can be used to accurately measure the Earth's gravitational field (see the 6th International Symposium on Satellite Constellation and Formation Flight held in Taiwan in 2010 Proceeding...

AI Technical Summary

Problems solved by technology

Due to the use of mass point approximation to the elements, errors will inevitably be caused

Images