CSE $622$: Homework One

Follow the steps below to complete this assignment.

Tasks

Write a simulation program and test it for a $3-$Dimensional space pursuit of two spaceships each

equipped with a laser beam weapon that can destroy its target if it is within a cylindrical angle of

$$ degrees and a distance of $B.$ Do not assume a pure pursuit but make any necessary

assumptions for smart spaceship commanders. Summarize the results of your simulation.

Include some sort of graphic $($character graphic is allowed$)$ output with your summary report.

Hint

Equations for a $2-$D pursuit of a cat tracking a mouse are given as follows:

The distance between the cat and the mouse at time $t$ is always given as:

Dist$(t)=\sqrt[\phantom{2}]{(Y_{\text{m}\text{o}\text{u}\text{s}\text{e}}(t)-Y_{\text{c}\text{a}\text{t}}(t){)}^2+(x_{\text{m}\text{o}\text{u}\text{s}\text{e}}(t)-x_{\text{c}\text{a}\text{t}}(t){)}^2}$

The angle $$ of the line between the cat and the mouse at time $t$ is given by:

$sin=\frac{Y_{\text{m}\text{o}\text{u}\text{s}\text{e}}(t)-Y_{\text{c}\text{a}\text{t}}(t)}{\text{D}\text{i}\text{s}\text{t}(t)}$

$cos=\frac{x_{\text{m}\text{o}\text{u}\text{s}\text{e}}(t)-x_{\text{c}\text{a}\text{t}}(t)}{\text{D}\text{i}\text{s}\text{t}(t)}$

Submission

Please submit a summary report that summarizes the results of your process.