| GMm |
| r2 |
| m•4π2r |
| T2 |
得:M=
| 4π2r3 |
| GT2 |
(2)研究卫星绕行星做匀速圆周运动,根据圆周运动中向心加速度公式,得:
a=
| 4π2r |
| T2 |
(3)对行星表面可以认为万有引力等于重力,
| GMm |
| R2 |
| 1 |
| 10 |
| 4π2r3 |
| GT2 |
解得:g=
| 400π2r |
| T2 |
答:(1)行星的质量为
| 4π2r3 |
| GT2 |
(2)卫星的加速度为
| 4π2r |
| T2 |
(3)那么行星表面的重力加速度是
| 400π2r |
| T2 |
| 1 |
| 10 |
| GMm |
| r2 |
| m•4π2r |
| T2 |
| 4π2r3 |
| GT2 |
| 4π2r |
| T2 |
| GMm |
| R2 |
| 1 |
| 10 |
| 4π2r3 |
| GT2 |
| 400π2r |
| T2 |
| 4π2r3 |
| GT2 |
| 4π2r |
| T2 |
| 400π2r |
| T2 |