The time taken by the earth to travels over half its orbit, remote from the sun, separated by the minor axis is about `2` days more then half the year, then the eccentricity of the orbit is

Options

A. `1//30`
B. `1//60`
C. `1//15`
D. `1//70`

Answer

A

Explanation

Remote hafl from the sun is the rare `B'A'B`. Let `t` be the time or description of the are `B'A'B` therefore rate of description of the sectorial are `SB'A'BS=(area SB'A'BS)/t`
Since the whole area of the ellipse is described in year, therefore rate of description of the sectorial are is `("area of the ellipse")/("a year")`
Hence, `("area SB'A'BS")/t=("area of ellipse")/("a year")`
or `t/("year")=("area SB'A'BS")/("area of the ellipse")`
`(1/2"area of ellipse"+DeltaSBB')/(piab)`
`(1/2piab+1/2.bae)/(piab)=1/2+e/(pi)`
`:. t=(1/2+e/(pi))"year"=1/2 "year"+e/(pi)"year"`
`=1/2"year"+2"days nearly"`