Session 281

### September 10, 2024

Dolya A.I. (SPbSU)

The effect of the Coriolis force on the motion of a body thrown at an angle to the horizon.

The report addresses a problem related to ballistics, a field that studies the motion of objects in the gravitational field of Earth. Ballistics involves calculating trajectories, determining velocities and accelerations, and accounting for various factors that affect motion, such as the Coriolis effect and medium resistance.
The effect of Coriolis force on ballistic trajectories and optimal parameters is studied without taking into account other factors. The solution to the problem of projecting a body at an angle with respect to the horizontal plane has been explicitly derived. Due to the low angular velocity of Earth's rotation, a complicated solution was significantly simplified by breaking it down into a small parameter and omitting insignificant terms.

For the task of projecting at a given point, the main optimization criteria considered are energy and energy-time efficiency. Using these criteria, optimal initial velocities and angles of projection to the horizon can be determined.

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Alexei I. Dolya ** – 4th year student of the Department of Theoretical and Applied Mechanics, Faculty of Mathematics and Mechanics, St. Petersburg State University. Research Interests: ballistics. Scientific supervisor – Prof. S. B. Filippov.