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Rocket Science and Orbital Mechanics. Academic Decathlon Preparation for San Fernando HS by Dr. Muller. Action and Reaction. One of the basic principles of rocketry is that a force creates an equal and opposite force in the other direction. F = m • a “pounds of thrust” in British units
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Rocket Science and Orbital Mechanics Academic Decathlon Preparation for San Fernando HS by Dr. Muller
Action and Reaction • One of the basic principles of rocketry is that a force creates an equal and opposite force in the other direction. • F = m • a • “pounds of thrust” in British units • Newtons in metric • 4.45 N = 1 lb of thrust
Ramifications • The Space Shuttle has a massive weight to get a 65,000 lb payload into space: 20x more fuel by weight than the Orbiter!
SRBs • Burn for 2 min and generate 3.3M lb of thrust • Fuel made of ammonium perchlorate (69.6%), aluminum (16%), iron oxide (.4%) • Also contains a polymer binder (12.04%) + a curing agent (1.96%) • By changing the mixture, you change explosion to high-thrust burn (see p23) • Has an 11-point star inside to increase burning area; evens out to circle as it burns • SRB +: simplicity, low cost, safety • SRB -: thrust not controllable, burn can’t be stopped
Liquid-Propellant Rockets • Fuel tanks contain a fuel and an oxidizer, which is pumped at controlled rates into a combustion chamber; gases have high acceleration. • Typical liquid fuels include liquid gases; the cooled gases are used to cool the combustion chamber as they head to it. • Combinations for different rocket experiments appear on p24-25.
Next-Generation Rockets • Small rocket thrusters use pressurized nitrogen to correct orbital decay. • Current experiments seek to use high-acceleration ions or atomic particles at high acceleration to drive rockets; dangerous for use on Earth.
Physics • Thrust = mass • exhaust velocity (T = mC) • By extension, C = T/m • Impulse = how long a pound of propellant can deliver a pound of thrust (Isp) • C = g • Isp • ∆V is the change in velocity. • Mass ratio of a fuel-laden vehicle is (M + P)/M, where M is empty vehicle weight and P is propellant weight.
More Physics • Rocket equation: (M+P)/M = e∆V/C • Increasing ∆V means that the mass ratio will go up – this makes the combined mass heavier, which is bad. • Increasing C means that the mass ration will go down – this makes the combined mass lighter, which is good.
Satellites • Orbit is a circular or eliptical path: apogee, perigee, geo-synchronous • Sputnik was first in 1957. Lasted 92 days. • Laika was launched in 1958. Lasted 30 days. • Difference of Earth’s rotation at equator makes shots from there easier. • Escape velocity is to get into space: 25,039 mph. • Orbital velocity is required to create circular orbit: 17,000 mph at 150 mi. • Geosynchronous orbit is 7,000 mph at 22,223 mi. • Polar orbits are lower and are used for photography.