Calculate fourth-order point mass

**Library:**Aerospace Blockset / Equations of Motion / Point Mass

The 4th Order Point Mass (Longitudinal) block performs the calculations for the translational motion of a single point mass or multiple point masses. For more information on the system for the translational motion of a single point mass or multiple mass, see Algorithms.

The 4th Order Point Mass (Longitudinal) block port labels change based
on the input and output units selected from the **Units** list.

The flat Earth reference frame is considered inertial, an approximation that allows the forces due to the Earth's motion relative to the “fixed stars” to be neglected.

The translational motions of the point mass [*X*_{East}*X*_{Up}]^{T }are functions of airspeed
(*V*) and flight path angle (*γ*),

$$\begin{array}{c}{F}_{x}=m\dot{V}\\ {F}_{z}=mV\dot{\gamma}\\ {\dot{X}}_{East}=V\mathrm{cos}\gamma \\ {\dot{X}}_{Up}=V\mathrm{sin}\gamma \end{array}$$

where the applied forces [*F _{x}*

3DOF (Body Axes) | 3DOF (Wind Axes) | 4th Order Point Mass Forces (Longitudinal) | 6th Order Point Mass (Coordinated Flight) | 6th Order Point Mass Forces (Coordinated Flight) | Custom Variable Mass 3DOF (Body Axes) | Custom Variable Mass 3DOF (Wind Axes) | Simple Variable Mass 3DOF (Body Axes) | Simple Variable Mass 3DOF (Wind Axes)