Atmospheric Case 02: Tumbling Brick, Dragless

Atmospheric scenario 2 tests a dragless tumbling brick (C_D, C_{l_p}, C_{m_q}, C_{n_r} = 0.0) falling from an altitude of 30,000 ft with no damping and an initial rotation rate of [9.995821927, 20, 30] deg/s.

Constants and Models

This scenario uses a brick 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 brick'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

Initial states
Scenario	Atmospheric Case 02: Dragless Brick
Body	Brick
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
Aerodynamic Characteristics	S (ft²) b c C_L C_D C_Y C_l C_m C_n C_{l_p} C_{l_r} C_{m_q} C_{n_p} C_{n_r}	0.22222 0.33333 0.66667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Geodetic Position (deg, deg, ft MSL)	Latitude Longitude Altitude, Mean Sea Level ^[1]	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)	Roll Pitch Yaw	0 0 0
Body Angular Rate (NED Frame) ^[2] (deg/s)	Roll Rate Pitch Rate Yaw Rate	9.995821927 20 30

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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 58, Table 26, incorrect initial altitude: Volume II Report ↩︎

^[2] Page 56, the Rate section should specify body-axis quantities relative to the local frame: Volume II Report ↩︎