calc_tutorial_13_6_016

Problem Statement

{0.0934,0.0935,0.0936,0.0937}

{22.6,22.7,22.8,22.9}

1-0.0935

round(22.8*0.9065/10,4)

1+0.0935

round(22.8*1.0935/10,4)

Compute r_per and r_ap for the orbit of Planet X, which has eccentricity e = 0.0935, and semi-major axis from the table below.

Planet	Mercury	Venus	Earth	Planet X
a (10¹⁰ m)	5.79	10.8	15.0	22.8
T (years)	0.241	0.615	1.00	1.88

Step 1

Question Sequence

Question 1

Recall how r_per and r_ap are related to the semimajor axis, a, and the eccentricity, e.

r_per = a(1 − e)

r_ap = a(1 + e)

Find the length of the semimajor axis of the orbit of Planet X, a, from the table.

a = × 10¹⁰

Correct.

Incorrect.

Step 2

Question Sequence

Question 2

Substitute appropriately the values of a and e to find r_per, the shortest distance, and r_ap, the longest distance. (Round the decimal value to four decimal places.)

r_per = 22.8 × 10¹⁰(1 0.0935) = × 10¹¹ km

Correct.

Incorrect.