# Does the Jerk (derivative of acceleration) play a significant role in relativity?

In particular, I'm thinking of spaghettification that occurs as an object falls into a black hole (as an extreme example). But what about tidal forces like the tidal heating taking place on Jovian Moons like Io and Titan?

$$F=-\frac{\text{d}F_g}{\text{d}r}R=\frac{2G M m}{r^3}R$$
$$R$$ is the radius of the affected body.