一组新的绳系卫星系统广义坐标

应用一组新的六维广义坐标，在一个统一的力学系统中，研究在外摄动力（地球非球形引力与大气阻力等）及系绳拉力的作用下，绳系系统质心在惯性空间的轨道运动，以及该系统相对于质心的相对运动。系绳模拟为具有质量的弹性连续体，系绳两端的空间飞行器假设为点质量。下列变量取为力学系统的广义坐标：系统质心的向径、赤经、赤纬，主星与子星之间的距离，以及系绳相对于系统质心子午面的两个欧拉角。经典的质心轨道根数，以及系绳在质心轨道面内与轨道面外的摆动角，均可由上述六个广义坐标及其广义速度确定。

A NEW SET OF GENERALIZED COORDINATES FOR TETHERED SYSTEMS

A new formulation is presented in this paper,where the following vari ables are taken as a set of generalized coordinates:the radial distance,the latitude and the right ascension of the centre of mass(CM)of the tethered system as well as the tether length and two Euler angles,in the meridian plane and out of the meridian plane,of the tether line relative to the radial vector from the centre of the Earth to the CM.The equations of motion are derived by using the Lagrangian formulas,where the tether is modelled as an elastic continuum with mass but remains straight.The Earth's gravitational potential perturbation and atmospheric drag are taken into account.All classic orbital elements and usual angular motion parameters can be calculated with the new set of generalized coordinates and their rates.