BS你们
花朵
共回答了21个问题采纳率:81% 举报
由题意可得行星的轨道半径r为:
![](https://img.yulucn.com/upload/1/ea/1eaf9af888f66fca56d964b4f881bbda_thumb.jpg)
…………………①(1分)
设行星绕太阳的运转周期为
![](https://img.yulucn.com/upload/8/29/829b67e9ba1fb99fe2cd6c2631136b3f_thumb.jpg)
,由开普勒第三定律有:
![](https://img.yulucn.com/upload/9/aa/9aa7a818dd4e03c59b7317a75a290e1a_thumb.jpg)
…………②(1分)
(用万有引力定律和匀速圆周运动知识解答,结果正确照样给分)
设行星最初处于最佳观察期时,其位置超前与地球,且设经时间t地球转过
![](https://img.yulucn.com/upload/b/26/b2666a8447af015c0bc44106933a4529_thumb.jpg)
角后该行星再次
处于最佳观察期。则行星转过的角度
![](https://img.yulucn.com/upload/9/09/90979d811874f360cb36ef0bc6299bf9_thumb.jpg)
为:
![](https://img.yulucn.com/upload/4/1f/41f296405c58ac79dc5270758908abd1_thumb.jpg)
………………③(2分)
于是有:
![](https://img.yulucn.com/upload/8/52/8523c26774e0c56b4de2a16397071841_thumb.jpg)
………………………………………………④(1分)
![](https://img.yulucn.com/upload/5/b0/5b010f454c755efc33fa0fec3a7e99ff_thumb.jpg)
………………………………………………………… ⑤(1分)
解①②③④⑤可得:
![](https://img.yulucn.com/upload/e/79/e7947d7e94f8d178e76d3833895fcaa2_thumb.jpg)
………………………………… ⑥(2分)
若行星最初处于最佳观察期时,其位置滞后与地球,同理可得:
![](https://img.yulucn.com/upload/b/95/b9552d09dc359076bd0c3f8b7385380a_thumb.jpg)
……………………………………… ⑦(4分)
1年前
10