如图是发射地球同步卫星的简化轨道示意图,先将卫星发射至距地面高度为h1的近地轨道I上.在卫星经过A点时 发射地球同步卫星时,先将卫星发射到距地面高度为h1的近地圆轨...

\u5982\u56fe\u6240\u793a\uff0c\u53d1\u5c04\u5730\u7403\u540c\u6b65\u536b\u661f\u65f6\uff0c\u53ef\u8ba4\u4e3a\u5148\u5c06\u536b\u661f\u53d1\u5c04\u81f3\u8ddd\u5730\u9762\u9ad8\u5ea6\u4e3ah 1 \u7684\u5706\u5f62\u8fd1\u5730\u8f68\u9053\u4e0a\uff0c\u5728\u536b\u661f\u7ecf\u8fc7 A\u70b9

\u89e3\uff081\uff09\u8bbe\u5730\u7403\u8d28\u91cf\u4e3aM\uff0c\u536b\u661f\u8d28\u91cf\u4e3am\uff0c\u4e07\u6709\u5f15\u529b\u5e38\u91cf\u4e3aG\u536b\u661f\u5728\u8fd1\u5730\u8f68\u9053\u5706\u8fd0\u52a8\uff0c\u7531\u4e07\u6709\u5f15\u529b\u63d0\u4f9b\u5411\u5fc3\u529b\u5f97 =ma\u2460 \u7269\u4f53\u5728\u5730\u7403\u8868\u9762\u53d7\u5230\u7684\u4e07\u6709\u5f15\u529b\u7b49\u4e8e\u91cd\u529b =mg\u2461 \u89e3\u5f97a= g\u3002\uff082\uff09\u8bbe\u540c\u6b65\u8f68\u9053\u8ddd\u5730\u9762\u9ad8\u5ea6\u4e3ah 2 \uff0c\u7531\u4e07\u6709\u5f15\u529b\u63d0\u4f9b\u5411\u5fc3\u529b\u5f97 \u2462 \u8054\u7acb\u2461\u2462\u5f97\uff1ah 2 = -R\u3002

\uff081\uff09\u8bbe\u5730\u7403\u8d28\u91cf\u4e3aM\uff0c\u536b\u661f\u8d28\u91cf\u4e3am\uff0c\u4e07\u6709\u5f15\u529b\u5e38\u6570\u4e3aG\uff0c\u536b\u661f\u5728A\u70b9\u7684\u52a0\u901f\u5ea6\u4e3aa\uff0c\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97\uff1aGMm(R+h1)2=ma\uff1b\u7269\u4f53\u5728\u5730\u7403\u8d64\u9053\u8868\u9762\u4e0a\u53d7\u5230\u7684\u4e07\u6709\u5f15\u529b\u7b49\u4e8e\u91cd\u529b\uff0c\u5219\uff1aGMmR2=mg\uff1b\u89e3\u4ee5\u4e0a\u4e24\u5f0f\u5f97\uff1aa=R2g(R+h1)2\uff0e\uff082\uff09\u8bbe\u8fdc\u5730\u70b9B\u8ddd\u5730\u9762\u9ad8\u5ea6\u4e3ah2\uff0c\u536b\u661f\u53d7\u5230\u7684\u4e07\u6709\u5f15\u529b\u63d0\u4f9b\u5411\u5fc3\u529b\uff0c\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97\uff1aGMm(R+h2)2=m4\u03c02T2\uff08R+h2\uff09 \u89e3\u5f97\uff1ah2=3gR2T24\u03c02-R\uff0e\u7b54\uff1a\uff081\uff09\u536b\u661f\u5728\u8fd1\u5730\u70b9A\u7684\u52a0\u901f\u5ea6\u5927\u5c0fa=R2g(R+h1)2\uff1b\uff082\uff09\u8fdc\u5730\u70b9B\u8ddd\u5730\u9762\u7684\u9ad8\u5ea63gR2T24\u03c02-R\uff0e

(1)在地球表面,重力等于万有引力,故有:mg=G
Mm
R2

得地球质量M=
gR2
G

卫星在近地轨道I上的速度大小v=


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