### Abstract

Under the condition that a warship escapes along a linear direction, the analytic solution of the torpedo tracing trajectory is obtained by solving the corresponding differential equation using the coordinates rotation transformation.

### Proposed Mathematical Model

Under the modeled condition, torpedo Pursuit Range S can be calculate by the following formular:

where:

- k denotes the speed of the torpedo is k (k > 1 ) times than the speed of the enemy ship,
- The launch location of the torpedo is exactly a nautical miles due west of the enemy ship.
- The enemy ship escape with a constant speed v knots/min along a straight path.
- The escape direction of the enemy ship is at an angle of θ with the x-axis.

### Downloads

Full paper (in Simplified Chinese): click here

#### Reference

```
@ARTICLE{sicmdiffmodel,
author={Shi-Wei Yu, Cheng Jin},
journal={Studies in College Mathematics},
title={Torpedo Tracing of Warship Escaping Along a Linear Direction},
year={2019},
volume={22},
number={29-31, 43},
pages={DOI:10.3969/j.issn.1008-1399.2019.05.011},
}
```