Atmospheric Case 01: Dropped Sphere, Dragless

Atmospheric scenario 1 tests a simple dragless sphere (CD = 0.0) falling from an altitude of 30,000 ft with an initial roll rate of -0.004178073 deg/s.

Constants and Models

This scenario uses a spheroid body model with fixed inertias and aerodynamic coefficients unless otherwise specified in the scenario. The original details of the model can be found here. The 1976 STD atmosphere model defines atmospheric properties at various altitudes, specified here. The sphere's source of gravity is the J2 gravity model, specified here. The geodesy model used for this scenario is the WGS-84 rotating model, specified here.

Initial Conditions

Scenario Atmospheric Case 01: Dragless Sphere
Body Atmospheric Spheroid
Geodesy WGS-84 rotating
Atmosphere US 1976 STD; no wind
Orientation Body x-axis pointed north
Body y-axis pointed east
Body z-axis pointed down
Gravitation J2 Duration 30 s
Initial states
Aerodynamic Characteristics
 S (ft2)
CL
CD
CY
Cl
Cm
Cn
 0.1963495
0.0
0.0
0.0
0.0
0.0
0.0
Geodetic Position
(deg, deg, ft MSL)		 Latitude
Longitude
Altitude, Mean Sea Level 		0
0
30,000
Velocity (NED Frame)
(ft/s)		 X Velocity (North)
Y Velocity (East)
Z Velocity (Down) 		0
0
0
Body Attitude (NED Frame)
(deg)
(3-2-1 Rotation)		 Roll
Pitch
Yaw 		0
0
0
Body Angular Rate (NED Frame) [1]
(deg/s)		 Roll Rate
Pitch Rate
Yaw Rate 		-0.004178073
0
0

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Errata

Below is the list of erratum that are relevant to changes made on this page that no longer match the report. The full list can be found on the Home Page.

[1] Page 56, the Rate section should specify body-axis quantities relative to the local frame: Volume II Report ↩︎