Orbital Case 10D: Cylinder in Elliptical Orbit with Gravity Gradient and Non-Zero Initial Rates
Orbital scenario 10D tests a cylinder undergoing gravity gradient torque while having non-zero initial rotation rates with respect to the LVLH frame in a highly elliptical orbit.
Constants and Models
This scenario uses a cylinder body model, specified here. The MET atmosphere model defines atmospheric properties based on time, position, and solar effects specified here. The gravitational model order used was a pure inverse-square gravitation field, specified here. The geodesy model used for this scenario is the WGS-84 rotating model, specified here.
Initial Conditions
| Scenario | Orbital Case 10D: Non-Zero Initial Rotation Rate in Elliptical Orbit with Gravity Gradient | |||
|---|---|---|---|---|
| Body | Cylinder | |||
| Orbit Type | Highly Elliptical | |||
| Atmospheric Model [1] | F10.7= 128.8 10-22
watt / m2 / Hz ap= 15.7 |
|||
| Time | 2007/324:00:00:00 (UTC) | |||
| Duration | 28,800 s | |||
| Gravitation Model Order | Inverse Square | Gravity Gradient Effects | On | |
| Planetary Ephemeris Sun/Moon Perturbations |
Off Off |
|||
| Initial states | ||||
| Mass Properties |
m (kg) x (m) y (m) z (m) |
1,000 6.0 0.0 0.0 |
||
| J2000 Position (m) |
X Position Y Position Z Position |
-4,315,967.74 960,356.20 5,167,269.53 |
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| J2000 Velocity (m/s) |
X Velocity Y Velocity Z Velocity |
129.091037 -7,491.513855 1,452.515654 |
||
| Attitude (LVLH) (deg) (1-2-3 Sequence) [2] |
Roll Pitch Yaw |
0.000000 85.000000 1.000000 |
||
| Inertial Rotation Rate (Body Axes) (deg/s) |
Roll Rate Pitch Rate [3] Yaw Rate |
0.000000 -0.0542892513561263 0.000000 |
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Latest Results
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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] For each orbital IC table with the Atmospheric Model enabled replace Ap with ap: Volume II Report ↩︎
[2] Pages 88 through 91, Tables 68 through 71, row 10, column 1, change “3-2-1 Euler sequence” to “1-2-3 Euler sequence” to match the results delivered by the sims: Volume II Report ↩︎
[3] Pages 89 and 91, Tables 69 and 71, row 9, column 2 initial inertial pitch rate should be -0.05498954225249 for Table 69 and -0.05429904441202 for Table 71 to match scenario description and delivered results of a resulting 0.01 deg/s pitch rate in the LVLH axis: Volume II Report ↩︎