正确解法和结果：
| GMm |
| (R+h)2 |
| 4π2m |
| T2 |
得：M＝
| 4π2(R+h)3 | ||
G
|
（2）方法一：月球绕地球做圆周运动，
由G
| Mm |
| r2 |
| 4π2 | ||
|
得M＝
| 4π2r3 | ||
G
|
方法二：在地面重力近似等于万有引力由G
| Mm |
| R2 |
得M=
| gR2 |
| G |
答：（1）上面的结果错误的，正确解法和结果：
| GMm |
| (R+h)2 |
| 4π2m |
| T2 |
得：M＝
| 4π2(R+h)3 | ||
G
|
（2）两种估算地球质量的方法并解得结果所上述所示．
| Mm |
| h2 |
| 4π2 | ||
|
| 4π2h3 | ||
G
|
| GMm |
| (R+h)2 |
| 4π2m |
| T2 |
| 4π2(R+h)3 | ||
G
|
| Mm |
| r2 |
| 4π2 | ||
|
| 4π2r3 | ||
G
|
| Mm |
| R2 |
| gR2 |
| G |
| GMm |
| (R+h)2 |
| 4π2m |
| T2 |
| 4π2(R+h)3 | ||
G
|