Slew rate refers to the rate at which an object in orbit rotates in the along track direction during its orbit.

$$ \frac {\partial \theta (\nu, t)}{\partial t} = \frac {1}{1 + (\frac {S_x \nu t}{Nh})^2} \frac {S_x \nu}{Nh} $$

Where

• $\frac {\partial \theta (\nu, t)}{\partial t}$ [rad/s]: slew rate
• $S_x$ [m]: swath dimensions in the across track spatial dimension
• $\nu$ [s^-1]: frame rate of the sensor
• $N$ [unitless]: number of frames
• $h$ [m]: orbital altitude
• $t$ [s] : time the satellite is on its orbital trajectory

Assumptions

• Flat Earth

• The restriction that the swath is square in shape is imposed

• Satellite travels at a constant orbital speed

• Derivations: