Allocating Aircraft Share payments

I run a non-profit aircraft syndicate with 10 members each of whom own a 10% share in the aircraft. I have allocated the purchase of the aircraft as a Capital expenditure but cannot see how best to allocate the purchase of the shares so it offsets the purchase of the aircraft. Should I have just recorded the aircraft purchase as just a general purchase rather than as an asset as each member legally owns a 10% equity share in the aircraft?