Hey guys, I came up with something to figure out how to build my Laythe mission the 'smart way'. Will you read this when you have a chance and tell me if I'm missing anything? Thanks!
CONCEPTUAL DESIGN FRAMEWORK
I have a new conceptual framework for how I'm going to launch all of my components of the Laythe Orbital and Surface Research Complex (LOS-RC). The first point of order is to determine a reference mass to serve as a stand-in for the payloads I will be sending to Laythe. Around this reference mass, I will build an interplanetary cruise stage capable of delivering this reference mass to Laythe orbit and then I will design a launch vehicle capable of delivering this cruise stage to orbit.
Reference Mass (RM):
100tons
This figure is based on the LVL-2a lander which weighed approximately 70tons. I believe that due to the reusable nature of the landers, they will be the heaviest components sent to Laythe. I could use 70tons as a reference mass but I want to ensure that I have plenty of room to play with in case the other modules wind up being heavier. I also have to consider that the LVL-2a will have to be redesigned to offer improved deltaV, which will increase its mass. I believe 100tons for a reference mass will provide plenty of wiggle room. However, if this turns out to be an unrealistic reference mass for a launcher to handle, then I will reduce it in 5 ton increments until I hit the 'sweet spot'.
Integrated Cruise Stage (ICS):
The cruise stage will take the reference mass from a reference circular LKO of 80km all the way to Laythe where it will inject it into orbit.
The ICS will have the following system requirements:
1 Large robotic control pod
1 large RCS tank
8 RCS thrusters
8 LV-N engines
2 solar panels
2 small batteries
Decouplers between each orange tank in the stage so they can be jettisoned when empty
Fuel lines between each orange tank so that fuel can be fed 'up' the stack to the top where the LV-N's are mounted.
3 struts between each orange tank
8 struts attaching the last tank to the reference mass
The deltaV to reach Laythe orbit from the reference orbit is ~6925m/s
(12km/s for Eve orbit!

)
This design will allow the final tank of the cruise stage stack to act as a satellite at Laythe as it will contain all of the electrical, RCS, control and engine components of the stack; each of the other tanks will be jettisoned as they empty.
As this stage will only operate in space, T/W is not a major concern.
To figure out how many tanks I will need for the cruise stage, I will use the rocket equation (and use the mass of the RM + all of the components listed above) to calculate the mass of my propellant. I will divide this mass by the mass provided by 1 orange tank to figure out how many tanks I will need. Then I will add back the mass of the tanks themselves and their decouplers/fuel lines to the rocket equation and check to make sure I still have enough deltaV. If I do not, then I will add another tank and check again.
Launch Vehicle (LV):
The LV will be the vehicle that will place the ICS and RM into an 80km LKO. It will consist of the asparagus-staged side boosters and their own system requirements. The LV will need to deliver 4450m/s deltaV to the ICS and RM to get it into orbit.
System Requirements:
1 radial decoupler to attach to the ICS
1 large strut between each decoupler and each asparagus booster stack
3 struts per orange tank in each stack to attach to each other to prevent wobble
4 struts per orange tank in an asparagus stack to connect to the next stack over
4 struts per asparagus stack to link to Reference mass at top
3 struts per asparagus stack to attach to ICS
1 fin per asparagus stack
10 sepatrons per asparagus stack
1 fuel line per asparagus stack
To design this stage, I will begin with a simple 1 orange fuel tank + 1 mainsail stack. This stack will have all of the system requirements listed above. I will then calculate how much deltaV this stack can provide to the ICS and the RM.
If the deltaV falls short, I will add via symmetry, more stacks (up to 8) and recheck the deltaV. If 8 way-symmetry does not provide enough deltaV, then I will add an additional tank to the original stack and start the process over with 1 booster, adding more if necessary with symmetry up to 8. If this still doesn't provide enough deltaV, I will add yet another tank to the original stack and so on until I have enough deltaV in the launch vehicle to lift everything.
Lastly, when I have identified the number of stacks and tanks I will need to provide the deltaV required, I will check the T/W ratio of my booster. If it is less than 1, I will add additional mainsails to each stack in the LV until the LV is greater than 1. Then I will recalculate with the new mass and make sure my deltaV still meets the requirements.