A Venus$-$like planet is in a circular orbit around a star with a luminosity of $0\mathrm{.}85$L$$ and mass

$0\mathrm{.}96$M$$ at an orbital radius of $8\mathrm{.}3106$ km$.$

$($a$)$ Estimate the surface temperature of the planet. State any assumptions you have made.

$[8]$

$($b$)$ For this system, estimate the percentage change in flux from the star that would be

observed during a transit of this planet. State any assumptions you have made