Momentum Vectors For Antiparallel Relativistic Velocity Space Craft.

Hi Folks;

I am aware that the relative velocity composition formula for two relativistic space craft traveling in an antiparallel direction with respect to each other is as follows.

v_rel = (v₁ + v₂)/{1 + [(v₁ v₂)/[C²]]}

I am also aware of the simple relativistic momentum formula of (Mo)(v)(gamma).

Provided both space craft had an invariant mass of Mo, would not each space craft experience the momentum of the other space craft as

(Mo)(v_rel)(gamma) = (Mo){(v₁ + v₂)/{1 + [(v₁ v₂)/[C²]]}}{1/{{1 - [(v_rel/C)²]}^1/2}}

in the toy model case where each space craft could sense the momentum of the other oncomming or incident space craft.

I hope this question does not seem somewhat juvenile as I am a little rusty with some aspects of Special Relativity.

Thanks;

Jim