☸️ Reaction Wheel Sizing Calculator

Momentum storage from cyclic & secular disturbances · wheel torque · class comparison

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Inputs

Results

Cyclic momentum / orbit
– N·m·s
Secular accumulation
– N·m·s
Required momentum (margined)
– N·m·s
Required torque (margined)
– N·m
Suggested wheel class
–
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📖 How to use

  1. Bring the worst-case disturbance torque from the Disturbance tool as the cyclic value; estimate the secular bias (aero/SRP asymmetries) as ~¼ of it if unknown.把干扰力矩工具的最恶劣合成值作为周期项；长期偏置项（气动/光压不对称）未知时可按其 ¼ 估。
  2. Momentum storage covers the cyclic swing plus what accumulates between dumps; more frequent dumping trades wheel size against magnetorquer/thruster usage.角动量容量需覆盖周期波动加两次卸载之间的累积；卸载越勤，轮子越小，但磁力矩器/推力器负担越重。
  3. If the mission slews, add the Agility tool torque and peak momentum — for agile imagers they dominate the sizing.有机动需求时，叠加敏捷机动工具的力矩与峰值角动量——敏捷成像卫星通常由此主导选型。
  4. The table compares your requirement with typical wheel classes; pick the next class up and verify with vendor datasheets.表格将需求与典型轮子档位对比；选上一档并以厂商手册核实。

Wheel sizing relations (SMAD)

Cyclic storage: a sinusoidal disturbance of amplitude T_D integrates to h = T_D·T_orbit/4 × 0.707 per quarter orbit.

Secular accumulation: h = T_sec·T_orbit·N_dump between dumps.

Torque: the wheel must exceed the disturbance with authority (×~10 is comfortable, margin input here) and meet any slew torque. Total requirement = margined disturbances + slew needs, checked against wheel classes from ~0.01 N·m·s (CubeSat) to ~70 N·m·s (large GEO).

All computation runs locally in your browser.

动量轮选型关系式（SMAD）

周期项容量: 幅值 T_D 的正弦干扰四分之一轨道积分为 h = T_D·T_orbit/4 × 0.707。

长期项累积: 两次卸载之间 h = T_sec·T_orbit·N_dump。

力矩: 轮子力矩需以足够权限超过干扰（×10 较从容，本页用余量系数体现），并满足机动力矩。总需求 = 含余量干扰项 + 机动项，与从约 0.01 N·m·s（立方星）到约 70 N·m·s（大型 GEO）的典型档位对比。

全部计算在你的浏览器本地完成。