设地球同步卫星的周期为T1,GPS卫星的周期为T2,由题意有:
=2T1 T2
由万有引力定律的公式和向心的公式有:
=mGMm R2
=ma4π2R T2
由以上两式可得:R=
3
GMT2
4π2
a=
GM R2
因而:
=(R1 R2
)T1 T2
=2 3
3
4
=(a1 a2
)2=R2 R1
1 2
3
2
答:则R1:R2为
.
3
4
a1:a2的值为
.1 2
3
2