-
Notifications
You must be signed in to change notification settings - Fork 0
/
FE papers.txt
155 lines (103 loc) · 7.59 KB
/
FE papers.txt
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
Government Documents Admit Flat Earth
-------------------------------------
https://www.youtube.com/watch?v=JEN9NW6qjCw
Russia 1948 Shape of the earth unknown..
https://www.cia.gov/library/readingroom/docs/CIA-RDP80-00809A000600231031-1.pdf
Russian Light Study “Brightness of the firmament” Flat earth :
https://drive.google.com/file/d/1KX7_0tlTAzFEWJ1CWOXQ_K2JnUgbfzb8/view
Propagation of Electromagnetic Fields Over Flat Earth
http://www.arl.army.mil/arlreports/2001/ARL-TR-2352.pdf
page 9: based upon the signal having a single bounce on a flat Earth
http://www.arl.army.mil/arlreports/2009/ARL-TR-4998.pdf
page 1: Trajectory of Spinning Projectiles: “These equations assume a flat Earth.”
http://www.arl.army.mil/arlreports/2010/ARL-TR-5118.pdf
page 2: “These equations assume a flat Earth..”
http://www.arl.army.mil/arlreports/2011/ARL-TR-5810.pdf
page 216: "assuming a flat Earth"
http://tycho.usno.navy.mil/ptti/2007papers/paper21.pdf
Page 1: “...so that a flat-earth approximation provides the best estimate.”
http://www.arl.army.mil/arlreports/2001/ARL-TN-175.pdf
Detection Algorithm for FLIR Imagery
short range
Page 39: model works over a flat earth
http://www.arl.army.mil/arlreports/2003/ARL-TR-2696.pdf
"and non-turbulent atmosphere."
page 1: transmission loss over flat earth
http://www.arl.army.mil/arlreports/2000/ARL-TR-2156.pdf
The first part of the above expression is the predicted path loss over flat earth [6];
... The model showed good agreement with the measured data from 145 to 910 MHz and ranges from 500 to 5000 m.
short range
page 9: “...input to a flat earth”
http://www.arl.army.mil/arlreports/2003/ARL-MR-563.pdf
page 3: “The first is the Earth-fixed coordinate system, which is fixed to the Earth with a flat Earth assumption.”
http://www.arl.army.mil/arlreports/2010/ARL-CR-650.pdf
page: 1 flat earth approximation provides the best estimate
http://www.arl.army.mil/arlreports/2002/ARL-TR-2683.pdf
page 32: This model works well over a flat-earth
http://www.arl.army.mil/arlreports/2000/ARL-TR-1812.pdf
page 168: equations of flat-earth trigonometry.
http://www.irig106.org/docs/106-17/106-17_Telemetry_Standards.pdf
page 8: The Earth is flat and nonrotating.
http://www.navair.navy.mil/nawcwd/command/Inplace.aspx/LoadFile/531
General Equations of Motion for Damaged Asymmetric Aircraft
Page 1: “...equations of motions must properly reflect the underlying physics.”
page 2: "In this paper, the rigid body equations of motion over a flat non-rotating earth are developed...”
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20070030307.pdf
Approximate Optimal Guidance for the Advanced Launch System
On page one this document does mention a spherical rotating earth but then states that “...these schemes” (based on a spherical rotating earth)
1) “...are difficult to prove” and
2) “...not suggested to be used as a basis for an online real-time guidance law.”
Page 32 goes on to say: "Lastly, the equations of motion for the zeroth-order problem of flight in a vacuum over a flat Earth are presented."
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19940020279.pdf
SR-71
Page 8 “...nonrotating Earth...”
https://www.nasa.gov/centers/dryden/pdf/88507main_H-2179.pdf
page 14: (2) A flat, nonrotating earth
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19710018599.pdf
page 8: the missile position in space is computed relative to a flat nonrotating earth.
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20040008097.pdf
page 108: aircraft flying over flat, nonrotating earth
page:12 "aircraft flying in a stationary atmosphere over flat nonrotating earth"
https://www.nasa.gov/centers/dryden/pdf/88072main_H-1259.pdf
NASA Technical Paper 2835
Page 1 Summary:
Flat nonrotating earth
page 126: "The nonlinear equations of motion used are six-degree-of-freedom equations sith stationary atmosphere and flat, nonrotating earth"
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19890007066.pdf
Determination of Angles of Attack and Sideslip from Radar Data and a Roll Stabilized Platform
NASA March 1972
page 2: "The method is limited, however, to application where a flat, nonrotating earth"
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19720012071.pdf
An Aircraft Model for the AIAA Controls Design Challenge
NASA 1991
page 11: "The nonlinear equations of motion used in this model are general six-degree-of-freedom equations representing the flight dynamics of a rigid aircraft flying in a stationary atmosphere over a flat nonrotating earth"
https://www.nasa.gov/centers/dryden/pdf/88248main_H-1777.pdf
Investigation of Aircraft Landing in Variable Wind Fields
NASA 1973
page14 pdf or 6 on actual report:
a) The earth is flat and non-rotating.
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19790005472.pdf
A Mathematical Model of the CH-53 Helicopter
NASA page 17:
“The helicopter equations of motion are given in body axes with respect to a flat, nonrotating Earth.”
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19810003557.pdf
Atmospheric Oscillations
Georgia Tech April 1965
Prepared for NASA
page 13: A model frequently used is that of a flat, nonrotating earth.
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19650015408.pdf
page 19: These equations assume a rigid vehicle and a flat, nonrotating Earth. https://www.nasa.gov/centers/dryden/pdf/88733main_H-2465.pdf
Flight Testing a VSTOL Aircraft
NASA 1988 page 9 pdf or 4-5 on actual doc:
“For aircraft problems, the state and measurement models together represent the kinematics of a rigid body for describing motion over a flat, nonrotating Earth...”
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19880014378.pdf
Time to Climb
page2: “In our minimum time-to-climb problem, the aircraft is modeled as a point mass and the flight trajectory is strictly confined in a vertical plane on a non-rotating, flat earth.
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20060053337.pdf
======================================================================
https://www.faa.gov/about/office_org/headquarters_offices/ang/offices/tc/about/campus/faa_host/labs/tgf/media/AircraftDynamicsModel.pdf
"The observant reader will notice that the aircraft equations of motion were calculated assuming a flat Earth and that we here assume the development frame was the NorthEast-Down frame. This implies necessarily that earth rotation and the variation of the gravity vector with position over the earth were ignored in developing the aircraft equations of motion."
Following the first citation:
"This simplification limits our mathematical model to the flight of aircraft only. The model will not properly handle the flight of sub-orbital craft and spacecraft such as intercontinental ballistic missiles, satellites, or the space shuttle. The model is adequate for all vehicles traveling under Mach 3.
For trajectory propagation, since we cannot assume a flat Earth, the original inertial reference frame, denoted with an ‘i’ subscript, is modified for the elliptic Earth. Thus, we align our newly defined ‘surface’ frame, with the inertial frame ‘i’. The surface frame then moves with the aircraft so as to provide a frame that is tangent to the Earth’s surface for interfacing with trajectory propagation equations, and parallel to the aircraft’s horizontal plane of flight for interfacing with the aircraft's flat-Earth dynamics. All velocities that were originally defined with respect to the ‘i’ frame, are now taken to be with respect to the ‘s’ frame."
In other words, they used the elliptic earth for their models, as we can see in the figures.