Atmospheric Case 04: Dropped Sphere in Non-Rotating, Spherical Earth
Atmospheric scenario 4 tests a simple sphere with constant drag (CD = 0.1) falling from an altitude of 30,000 ft through a non-rotating spherical Earth with an initial body rotation rate of [10, 20, 30] 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 inverse square gravity model, specified here. The geodesy model used for this scenario is the spheroidal non-rotating model, specified here.
Initial Conditions
| Scenario | Atmospheric Case 04: Dropped Sphere with Round Non-Rotating Earth | |||
|---|---|---|---|---|
| Body | Atmospheric Spheroid | |||
| Geodesy | Round non-rotating Earth | |||
| Atmosphere | US 1976 STD; no wind | |||
| Orientation | Body x-axis pointed north Body y-axis pointed east Body z-axis pointed down |
|||
| Gravitation | Inverse Square | Duration | 30 s | |
| Initial states | ||||
| Aerodynamic Characteristics |
S (ft2) CL CD CY Cl Cm Cn |
0.1963495 0.0 0.1 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 |
10 20 30 |
||
Latest Results
Posted :
| Sim | Raw Data Link |
|---|
Interactive Plots
Load Data
A CSV file matching the format of the files found in the "Latest Results" table can be loaded from the input below to compare to the results from the 2015 Flight Vehicle Check-case study, this is a temporary load in your browser only.
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 ↩︎