Flight Simulation of Orbital and Reentry Vehicles Part II - A Modified Flight Path Axis System for Solving the Six-Degree-of-Freedom Flight Equations

Item

Title
Flight Simulation of Orbital and Reentry Vehicles Part II - A Modified Flight Path Axis System for Solving the Six-Degree-of-Freedom Flight Equations
Description
Three translational and three rotational equilibrium equations for an orbital vehicle subject to aerodynamic and jet reaction forces are derived using a modified flight-path axis system for the translational equations. The dependent variables of the system are horizontal velocity component, vertical velocity component, and flight-path heading angle. The resulting equations are shown to have advantages for computer mechanization over alternative axis systems for the translational equations. Complete equations for determining vehicle orientation, instantaneous latitude and longitude, angle of attack, angle of sideslip, aerodynamic forces and moments, etc., are presented. Modifications in the translational equations which allow direct solution by an analog computer are also given. Analog computer mechanization of these equations in both real and fast time is described, including a novel technique for division which preserves favorable multiplier scaling. Specific machine results are presented which demonstrate accurate solution of close-satellite trajectories, including re-entry from satellite altitudes to sea level. With no change in circuit or scaling the same computer mechanization yields zero-drag orbits which close within several hundred feet of altitude.
Date
1961
Index Abstract
Contrails and DTIC truncated
Photo Quality
Not Needed
Report Number
ASD TR 61-171 (II)
Creator
Fogarty, L. E.
Howe, R. H.
Corporate Author
University of Michigan
Laboratory
Behavioral Sciences Laboratory
Extent
41
Identifier
AD0269283
AD0269283
Access Rights
OTS
Distribution Classification
1
Contract
AF 33(616)-5644
DoD Project
8(7-114)
DoD Task
611407
DTIC Record Exists
No
Distribution Change Authority Correspondence
None
Abstract
Three translational and three rotational equilibrium equations for an orbital vehicle subject to aerodynamic and jet reaction forces are derived using a modified flight-path axis system for the translational equations. The dependent variables of the system are horizontal velocity component, vertical velocity component, and flight-path heading angle. The resulting equations are shown to have advantages for computer mechanization over alternative axis systems for the translational equations. Complete equations for determining vehicle orientation, instantaneous latitude and longitude, angle of attack, angle of sideslip, aerodynamic forces and moments, etc., are presented. Modifications in the translational equations which allow direct solution by an analog computer are also given. Analog computer mechanization of these equations in both real and fast time is described, including a novel technique for division which preserves favorable multiplier scaling. Specific machine results are presented which demonstrate accurate solution of close-satellite trajectories, including re-entry from satellite altitudes to sea level. With no change in circuit or scaling the same computer mechanization yields zero-drag orbits which close within several hundred feet of altitude.
Report Availability
Full text available
Date Issued
1961-10
Provenance
RAF Centre of Aviation Medicine
Type
report
Format
1 online resource ( x, 31 pages) : ill.
Subject
Flight Simulators
Reentry Vehicles
Artificial Satellites
Analog Computers
Atmosphere Entry
Differential Equations
Dynamics
Equations
Flight Paths
Mathematical Analysis
Orbits
Pilots
Training Devices
Vector Analysis
Publisher
Wright-Patterson Air Force Base, OH : Behavioral Sciences Laboratory, Aerospace Medical Laboratory, Aeronautical Systems Division, Air Force Systems Command, United States Air Force
Distribution Conflict
No