Reaction Wheel Sizing
Estimate reaction-wheel angular momentum storage, wheel inertia, and kinetic energy for an attitude slew torque.
Wheel inertia
0.02 kg m2
minimum inertia at maximum speed
Momentum capacity
12.00 N m s
25.0% margin included
Stored energy
3,141.59 J
0.873 Wh at max speed
Calculation breakdown
Torque impulse to wheel storage
The commanded torque impulse sets angular momentum demand; the speed limit turns that into wheel inertia.
H = 12.00 N m s
Angular impulse
9.60 N m s
0.080 N m for 120 s
Headroom
2.40 N m s
25.0% momentum margin
Stored energy
0.873 Wh
3,141.6 J at max speed
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