让我们比较天王星和地球的轨道，来检验一下开普勒第三定律。
Let us test Kepler's third law for the orbit of Uranus compared with that of earth.
开普勒第三定律，也即调和定律，清楚地表明了行星公转周期与其离日距离之间的关系。
The third one, the law of periods, allows us to establish a clear relationship between a planet's orbital period and its distance from the sun.
开普勒第三定律，就是你们在考试中和,作业中推导出的：,周期的平方等于，4π的平方乘以1,加上r2的三次方。
Kepler's Third Law, which you derived on your exam as well as on an assignment: r1 the period squared equals four pi squared times r1 plus r2 to the power three.
在向心力的一些论述之后，他推出了开普勒的第三定律。
After some treatment of centripetal force, he deduces Kepler's third law.
开普勒圆周轨道第三定律；利用积分推导球壳的引力；弹簧。
Kepler's 3rd law for circular orbits; Building up the shell-force by integration; Spring gun.
开普勒圆周轨道第三定律；利用积分推导球壳的引力；弹簧。
Kepler's 3rd law for circular orbits; Building up the shell-force by integration; Spring gun.
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