Nuclear Sunrise vs Martian Orange

How close are they?

ΔE 21.1, loose: different enough that you should pick on purpose. Martian Orange is noticeably darker, more muted, cooler than Nuclear Sunrise.

Can I use Martian Orange instead of Nuclear Sunrise?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 21). Martian Orange is noticeably darker, more muted, cooler than Nuclear Sunrise.

Can I use Nuclear Sunrise instead of Martian Orange?

The same difference applies the other way round: Nuclear Sunrise is noticeably lighter, more saturated, warmer.

ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.