would my arrows that I shoot with my 45lb recurve shoot the same out of a 45lb longbow or do the shooting characteristics of the different bows probably mean different arrows? I currently shoot  30 inch 500 spine carbons and am really happy with how they fly.  

i believe based on grip style you would pull a slightly higher drawlength with the recurve like on my recurve i darw 28.5" but on my longbow i draw about 27" so you would have to mess around with tip weights and such to find the sweet spot

It will depend on how close the longbow is cut to center.

If the recurve shows the arrows to be too weak, then just add some material behind the strike plate of the recurve until your arrows fly like they do out of your longbow. It works great that way with my Kanati LB and my Browning Wasp recurve. I shoot the same .500 spine arrows with both bows with great results.

As always, thanks for the great info!  

When I owned a 68", 41# @ 30" hybrid longbow, it shot the same 2114 aluminum arrow my 66", 42# @ 30" recurve shot. But, the hybrid longbow had a slightly different brace height setting than the recurve.

I shoot the same arrows out of a 70" Hill longbow that I do with a 60" recurve (hey are within a pound of each other.) So yes, it's doable if your bows are pretty close.

There are a bunch of tricks you can do to tune both bows to the arrows. I ended up going to a skinny calf hair side plate/rest on the longbow. The recurve got a thicker leather side plate and a tall rug rest. Both bows went through several combinations of strings and silences, with brace heights all up and down the recommended ranges.

In the end I have two *60# bows that fling the same 32" 2117 arrows with 175 grains up front.
Thom

Yes it is possible. I would recommend using a thicker strike rest on the recurve if your longbow is not cut to center.

Most likely it'll be different.
You might get lucky....but don't count on it.

Now you might not need TOTALLY new arrows.

Most likely a little a bit more or less weight on the tip or possibly shorten the shaft a bit depending on how things spine out.