31.3k views
1 vote
f NASA wants to put a satellite in a circular orbit around the sun so it will make 2.0 orbits per year, at what distance (in astronomical units, AU) from the sun should that satellite orbit

User Mircea
by
7.8k points

1 Answer

4 votes

Answer:

r = 0.63 AU

Step-by-step explanation:

In this question, we are interested in calculating the distance from the sun that the satellite should orbit.

From the question;

given time period of satellite is T = 0.5 year

Mathematically;

T is directy proportional to r^3/2

Hence;

T = constant * r^3/2

0.5/1 = r^1.5 / 1^1.5

( 1 is the the distance of the earth’s orbit to the sun in AU)

r = 0.63 AU

User Oswald
by
8.2k points