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## Homework Statement

a planet is 2.00 a.u. when it is closest to the sun. its eccentricity is .5000. Find its period in years.

## Homework Equations

## The Attempt at a Solution

i got this so far... don't know if it is right

PD + AD = A

-AD - PD = F <SUBTRACTING THESE TWO>

2PD = A - F

2PD = A - (EA)

2PD = A(1-E)

2PD/(1-E) = A

A = 2(2)/(1.-.5)

A= 8 a.u.

then for a

a= 8.00/2

a= 4.00 a.u.

T^2 = a^3

T = sqrt(a^3)

T = 8

im lost T = 8 what? years?