The requirement is not hit and miss but is a bit complicated
to do it accurately and may need more data than what you
have ready to hand.  I suspect that you will need to meet
two requirements.  One is take off length with a glider on
tow and the other will be minimum climb rate with a glider
on tow.

Anyway an attempt to answer the climb question (feel free to
correct any errors anyone!) with a simple answer:

Climb speed is roughly equal to:
Air Speed x ( thrust to weight ratio - 1 / (L on D for that
airspeed))

Or:  Climb speed =
Air Speed x ( thrust at that airspeed - drag for that
airspeed) / weight

So with a glider on tow the weight is increased and the drag
is increased.

A bit of an experiment is required if you don't know some
bits.

The pilots manual should tell you what best climb speed is
(this will change slightly with a glider on tow, but not by
a big amount?).  Fly straight and level at this speed.  Note
your engine RPM. (This will give you an idea of power for
straight and level where thrust = drag).  Hopefully the
pilots manual will have a power curve per RPM.  Now go to
max sustainable revs and climb at the same airspeed.  Note
your climb rate.  This gives you a conversion factor where:

Climb speed = Factor x Air Speed x ( max sustainable HP -
cruise HP for that airspeed) / weight

You know how heavy the tug is and how heavy the glider is. 
You need to make an intelligent guess how much extra drag a
glider adds (in horsepower).  You can make a good guess by
asking another aerotow club to do a straight and level in
their tug with and without the glider at the same speed and
note the extra horsepower required.

So climb speed with glider roughly equals:
Factor x airspeed x (max sustainable HP - (cruise HP +
glider additional HP) / (tug weight + glider weight)

So a more powerfull engine will have higher max HP but will
also add some more weight to the tug.

Note that I haven't mucked around with prop efficiencies or
anything else.  The best way of improving a light aircraft
as a tug is to fit a prop that is optimised for climb rather
than cruise.

Hope this helps

Anthony


> This then leads on to the question, if an aircraft is able
> to be fitted  with a hook, how does one work out the
> engine power requirement? Is it a  hit and miss affair? Or
> is there a calculation that can be done?
>
> Cheers-
>
> Ron.
>
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