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Eva8 [605]
3 years ago
6

14. It takes satellite A 7 days to complete one full orbit around a planet, at a distance of 5.0 units. Satellite B orbits it in

6 days. How far is it from the planet?
Geography
1 answer:
Kay [80]3 years ago
4 0

Answer:

it from the planet is 4.51 unit

Explanation:

given data

time t1 = 7 days

distance a1= 5.0 units

time t2 = 6 days

to find out

How far is it from the planet

solution

we know that from Kepler second law of planetary motion

T² is directly proportional to a³

so T² = K a³   ...........1

here for for both time we can say

\frac{T1^2}{T2^2}= \frac{K a1^3}{K a2^3}

a2³ = a1³ × \frac{T2^2}{T1^2}

a2³ = 5³ × \frac{6^2}{7^2}

a2³ = 4.51 unit

so it from the planet is 4.51 unit

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