卫星的运动学方程及其等时逐点轨迹
收稿日期: 2020-02-17
修回日期: 2020-04-25
网络出版日期: 2020-10-16
基金资助
江苏省教育科学“十三五”规划课题(D / 2020 / 01 / 55);南京晓庄学院优秀教学团队建设项目(4187061)资助
Kinematic equation of satellite and its isochronous point by point trajectory
Received date: 2020-02-17
Revised date: 2020-04-25
Online published: 2020-10-16
邵 云 . 卫星的运动学方程及其等时逐点轨迹[J]. 大学物理, 2020 , 39(10) : 14 -17 . DOI: 10.16854 / j.cnki.10000712.200039
According to the elliptic orbit equation and angular momentum conservation formula of satellite in polar coordinate system,the kinematic equation in the form of implicit function of the satellite is obtained by integration,and the isochronous point by point trajectory diagram,the change curve diagrams of polar coordinates r and θ with time t of the satellite with eccentricity e = 0.6 are made. It is pointed out that r changes most rapidly with t at the intersection of the elliptical orbit and the right rectum,that is,the radial velocity of the satellite is the largest.The kinematic equation obtained in this paper is actually another expression of Kepler’s equation,but its reasoning process is easier to understand. The detailed integration process and relevant conclusions given in this paper may provide reference for the teaching and learning of relevant contents.
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