The maximum minimum distance of earth from sun are r1 r2 respectively What will be - Physics - Gravitation

Question

The maximum & minimum distance of earth from sun are
r1& r2 respectively What will be the
distance of earth from sun when it is perpendicular to the
principal axis passing through sun in its orbit ?

Jyoti Pant · Accepted Answer

The position of a particle moving in an elliptical orbit is represented as,r=1l+ecosθwhere, l is the perpendicular distance of the particle from the focus and e is the eccentricity of the ellipse
r1=1l-eand r2=1l+eor 1-e=lr1 and 1+e=lr2Adding these two equations,2=lr1+lr2or 2=l [ r1+r2r1r2]or l=2r1r2r1+r2

The maximum & minimum distance of earth from sun are r1& r2. respectively. What will be the distance of earth from sun when it is perpendicular to the principal axis passing through sun in its orbit ?

The maximum & minimum distance of earth from sun are r₁& r₂. respectively. What will be the distance of earth from sun when it is perpendicular to the principal axis passing through sun in its orbit ?