Modeling the Trajectory of Model Rockets Using Newtonian Dynamics

Dusty Rowland

April 22,2002


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Table of Contents

Modeling the Trajectory of Model Rockets Using Newtonian Dynamics

A Brief History of Rocketry

Liquid-Propellant Rocket

Liquid-Propellant Rocket

Solid-Propellant Rocket

Solid-Propellant Rocket

Solid-Propellant Rocket

Model Rocket Motors

Cross Section Diagram of Model Rocket Motor

Model Rocket Motor Types

End-Burning & Core-Burning Propellant Grain

C-slot Motor

Stability of Model Rocket

Eight Degrees of Freedom

Stability: Center of Gravity

Stability: Center of Pressure

Stability: Center of Pressure

Stability Conditions

Various Stability Characteristics

Model Rocket Aerodynamics

Typical Airflow Patterns

Forms of Air Drag

Friction Drag: Boundary Layer

Friction Drag: Boundary Layer

Pressure Drag: Nose

Pressure Drag: Base

Interference Drag

Interference Drag: Fillets

Parasite Drag

Induced Drag

Induced Drag: Difference in Pressure

Induced Drag: Fin Tip Shapes

Induced Drag: Fin Planform Shapes

Drag Coefficient Calculation

Model Rocket Flight

Flight Phases

Flight Forces

How High Did It Go?

Two-station Alt-azimuth Altitude Tracking System

Altitude Determination: Law of Sines

Tracking Data

Newtons Laws of Motion

Model Rocket Flight Equations

Model Rocket Flight: Needed Information

Model Rocket Motor Code

PPT Slide

Model Rocket Flight: Conservation of Momentum

Model Rocket Flight: Total Altitude

Model Rocket Flight: Drag

Model Rocket Flight: Drag Effects

Altitude Determination: Numerical Method

Altitude Determination: Initial Velocity Only

Altitude Determination: Initial Velocity & Drag

Altitude Determination: Change in Mass

Altitude Determination: Change in Mass & Drag

Author: Dusty Rowland

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