I have this q, its long to explain but iv dont the first parts just need help with the last 2 q's
The planet saturn has many moons.The table below gives the mean radius of orbit and the time taken to coplete one orbit for five of the best known of them.
See the table .
It is believed that the relationship between R and T if of the form R=kT^n.
i) how can this be tested by plotting log T against log R? which iv done and drawn the graph.
ii)make out a table of values of log R and log T and draw the graph. Also done this.
iii) But from my grap i need to estimate the values of k and n. (from my graph the gradient is 0.67 and the intercept it 0.275) I need help to Solve k and n.
In 1980 a voyager spacecraft photographed several previously unknown moons of saturn. One of these named 1980 S.27 , has a mean orbital radius of 1.4 x10^5km.
iv) Finally i need to estaimate how many days it takes this moon to orbit saturn. Which i need help with.