🔄 Satellite Slew Agility Calculator

Bang-bang rest-to-rest slews · torque ↔ time · peak rate & momentum · off-nadir ground offset

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Inputs

Results

Slew time (bang-bang)
– s
Torque needed / used
– N·m
Total incl. settling
– s
Peak rate
– °/s
Momentum at peak rate
– N·m·s
Ground offset of this roll
– km
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📖 How to use

  1. Enter the inertia and slew angle, then either the available torque (reads time) or the required time (reads torque).输入转动惯量与机动角度，再给可用力矩（求时间）或要求时间（求力矩）。
  2. Feed the resulting torque and peak momentum into the Wheel Sizing tool — agile imagers are sized by slews, not disturbances.把得到的力矩与峰值角动量带入动量轮选型工具——敏捷成像卫星由机动而非干扰主导选型。
  3. Add a settling allowance (structure/controller dependent) when computing imaging timelines and targets-per-pass.计算成像时序与单圈目标数时记得加稳定时间（取决于结构与控制器）。
  4. The ground offset shows how far the image footprint moves for this roll at your altitude — the agility currency of EO missions.地面偏移给出该侧摆角在此高度下影像footprint的横移距离——遥感任务敏捷性的直接度量。

Bang-bang slew relations

A rest-to-rest maneuver with constant torque T (half accelerating, half braking):

t = 2·√(θ·I/T)   ⇔   T = 4·θ·I/t²

Peak rate ω_pk = 2θ/t, and the wheel absorbs h = I·ω_pk at mid-slew — often the binding constraint before torque. Ground offset of a roll θ from altitude h uses the spherical geometry of the Coverage tool; the small-angle value is ≈ h·tan θ.

Real agile spacecraft shape the profile (jerk limits, flexible modes) — add 20–50% to these ideal times.

All computation runs locally in your browser.

Bang-bang 机动关系式

恒力矩 T 的静止-静止机动（前半加速后半制动）：

t = 2·√(θ·I/T)   ⇔   T = 4·θ·I/t²

峰值角速度 ω_pk = 2θ/t，机动中点轮子吸收 h = I·ω_pk——常比力矩更早成为约束。侧摆 θ 的地面偏移采用覆盖几何，小角近似为 ≈ h·tan θ。

真实敏捷卫星会做轨迹规划（加加速度限制、挠性模态）——理想时间应再加 20–50%。

全部计算在你的浏览器本地完成。