JackHiggins wrote:Here are the subjects I need your comments/suggestions on:
JackHiggins wrote:1. Orbital elements for craft - is it even possible to position the
craft in synchronous orbit and still have enough beamed energy to melt
any ice, or is it simply not scientifically feasible (too far away)?
There are no synchronous orbits that have continuous line-of-sight to
either of the poles. Remember that orbits travel all the way around the
planet.
Synchronous orbits are the ones that happen to have a period
equal to the planet's rotational period. The best you can do are orbits
that are inclined 90 degrees so they pass directly over the poles.
Orbits with large diameters let you see more of the planet at once,
so they let you see one or the other of the poles for a longer time.
Also, a high eccentricity orbit would increase the "loiter" time over
one of the poles when the satellite is near its apocenter.
The satellite also is much further away from the planet then, but that
doesn't really matter -- which is the question you're really asking.
Remember that the solar reflector is a mirror reflecting incoming
sunlight onto a particular place on the surface. That means that
(to first approximation) it's focusing an image of the sun onto the
planet. 1/R^2 does not apply to the reflected light, just to the light
reaching the mirror from the Sun.
JackHiggins wrote:2. If synchronous orbit is not possible, what
orbital elementscould we use to maximize reflective radiation on each
pass, using a spacecraft array that is forced to circle Mars every 90
minutes or so?
That short a period is *much* too close and fast.
It'd put the mirror behind the planet and in shadow a lot of the time.
A distance of 200,000 km or more would be more appropriate.
For a circular orbit, that'd give a period of more than a month.
JackHiggins wrote:3. Does the structure of the craft created look
reasonable? How big would each dish in meters have to be to make a dent
in Mars' polar ice?
Sorry: no. It's much too massive.
The mirror needs to be many kilometers in diameter in order
to collect enough sunlight. That suggests it should be made
of a very thin film of aluminized mylar or the equivalent.
JackHiggins wrote:4. Is the focusing lens the right way round?
There's no need for a lens. It just gets in the way.
A very slight concave shape for the reflective mirrors would be
adequate to focus the sunlight onto the planet.
JackHiggins wrote:5. Would 12 seem to be a reasonable number of
reflectors per pole?
What matters is the total area of the mirrors, since that determines
the amount of sunlight they'll be intercepting and redirecting.
(See below where I've done the arithmetic)
JackHiggins wrote:6. If this is possible, what kind of time frame
would it take to melt enough ice to affect Mars' climate?
dunno. It depends a lot on side-effects -- like what happens to all
the subsurface water that's been detected within the past year.
Some past estimates have been 10s to 100s of years.
JackHiggins wrote:7. How much solar radiant energy could be focused
by each dish and what is it measured in (radiants, watts, lumens,
candlepower???)
The units are Watts, and 10s of TeraWatts would be needed.
(1 TW = 10^12 watts) See the papers mentioned below.
Doing the arithmetic:
The sun provides about 600 watts per square meter at the distance of Mars.
If you need 20 TW (20*10^12),
then you need a total surface area of 20*10^12 / 600, or
3*10^10 square meters.
With 12 mirrors, each would have to have an area of 1/12 that, or
25*10^8 square meters.
if the mirrors are square, they'd be 5*10^4 meters on a side:
that's 50 kilometers on a side!
Calculating the radius of a circle with that area is left
as an exercise for the student.

JackHiggins wrote:8. Is it possible to make only the beam &
reflector "emissive true" without also making the rest of the model
glow?
I think they'd have to be separate objects, but I suspect that Rassilon
can do a better job of answering that question.
JackHiggins wrote:Anything else which would improve the general
idea!
I'd suggest doing some more reading on the topic, especially of the
original research papers. Popularized summaries can be very misleading.
One useful paper is at
http://www.users.globalnet.co.uk/~mfogg/zubrin.htm
It actually answers most of your questions.
http://www.users.globalnet.co.uk/~mfogg/paper1.htm
seems to be a reasonable summary with references to recent research.
I hope this helps a little.