Fiber bundle of real projective space $\mathbb{R}P^d$ over $S^1$

Question

(1) Does there exist

and

(2) how many do they exist,

of a nontrivial fiber bundle $N^{d+1}$ of real projective space $\mathbb{R}P^d$ over $S^1$?

$N^{d+1}= S^1 \ltimes \mathbb{R}P^d$ so that $$ \mathbb{R}P^d \hookrightarrow N^{d+1} \rightarrow S^1 $$

(what exactly is this fibration construction?)