[UColorado] Kepler's 3rd law: p^2 =a^3 for all planets. The period p for the earth is 1 year The distance of the earth to the sun is called 1 A. U. Suppose an asteroid is in circular orbit around the sun at a distance of 2 A. U. How long does it take the asteroid to orbit the sun once?

Explanation:

Given the Kepler's third law

p² = a³

Given that,

Period of earth

P(earth) = 1 year

Distance of earth from sun

a(earth) = 1 A.U

An asteriod that is rotating round the sun is at a distance of 2A.U for the sun

a(asteroid) = 2 A.U

So, we want to calculate period of astronaut I.e. p(asteroid)

Using the Keplers law

p²/a³ = constant

p(earth)²/a(earth)³ = p(asteriod)²/a(asteroid)³

So, p(e)²/a(e)³ = p(a)²/a(a)³

1²/1³ = p(a)²/2³

1 = p(a)/8

p(a) = 8 years

Then, the asteroid will take 8years to round the sun

ill do it for 100, also this isnt 80 its 40

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.