Additionally, many newly developed tasks and missions can be carried out using constellations, or groups, of many small satellites in Low-Earth Orbit (LEO). Examples of satellite constellations include the Iridium constellation (which uses 66 operating satellites) and the Teledesic constellation (which uses 288 satellites) that are to provide global communications. An emerging trend is to use a large number of small satellites in LEO to provide communication, observation and scientific study.
The low-cost launch system to be designed for this proposal will consist of both a reusable aircraft capable of carrying the rocket to the necessary drop altitude and the rocket itself, capable of inserting small satellites into a low-Earth orbit. The rocket can be used to launch one satellite at a time, or several satellites in one launch. While systems like Orbital Sciences' L-1011/Pegasus have demonstrated this is feasible, the opportunity exists to provide a new aircraft and rocket system with both vehicles designed specifically for this task. This team design project will be conducted as if your team is a conceptual design group for an aerospace company, and your task is to devise the lowest-cost aircraft/rocket system that can place small satellites into low Earth orbit. Your design should then be compared to current launch systems. The senior management of your company will use your proposal to determine if a brand new aircraft/rocket system is a worthwhile endeavor.
All atmospheric performance requirements are standard day.
A. Warm-up, taxi and takeoff from a runway at sea level.
B. Climb to 32,000 ft.
C. Cruise at constant velocity, constant altitude to the rocket drop site. Use the best range speed at the start of the cruise as the constant velocity.
D. Climb to drop altitude.
E. Perform the drop manuever and release rocket. (As examples, the drop manuever may be a high-speed, constant-altitude dash, or could be a parabolic "pop-up" manuever to maximum altitude.)
G. Descend back to 32,000 ft.
H. Cruise back to base at constant velocity, constant altitude. Again, use best range speed at the start of the cruise.
I. Loiter for 30 minutes to allow for fuel reserves.
J. Descend to sea-level and land on runway at sea-level.
A. At drop, assume rocket velocity equals drop velocity. The inclination
of the launch matches the drop site latitude.
B. Assume that two stages are used to provide the boost to orbit. Model this boost as though it were following an elliptical Hohmann transfer orbit from the drop to the final orbit. Assume an impulsive burn to determine the "ideal" needed DV for the boost. To calculate the mass of the first stage, assume that this stage provides (DVideal / 2) * 1.05; the extra 5% will help model the effects of drag and gravity loss. The structural mass of each stage should be assumed as 10% of the initial mass of each stage. After burn-out of the first stage, the empty structural mass can be dropped.
C. Calculate the mass of the second stage, assuming that this stage provides (DVideal / 2). Again, the empty structural mass of stage 2 can be dropped after burn-out.
D. After reaching orbit altitude, initiate an impulsive burn with the
third stage to place the satellite in its final circular orbit, 600 km
altitude,
inclination = 70º.
The solid rocket motors for the booster stages to be used in the design
have a specific impulse of 290 sec. The "bulk density" of the fuel (including
open volume in the combustion chamber) is 0.057 lb/in³. To allow for
the proper nozzle size, use the ratios:
and
;
the following diagram should provide guidance.
