Coriolis / Artillery Deflection

Why projectiles curve when the ground moves — no fictitious forces required

Claim: Coriolis deflection is not caused by a force.
Result: It is a geometric consequence of firing within a rotating, translating frame.
This page removes the need for Coriolis and centrifugal forces entirely.

1. The Observed Fact

Long-range artillery shells fired north or south deflect east or west relative to Earth’s surface.

This effect is routinely attributed to a fictitious Coriolis force.

2. The Inertial Description

In an inertial frame, the projectile travels in a straight line at constant velocity after launch.

No lateral force acts on it.

$$ \mathbf{r}(t) = \mathbf{r}_0 + \mathbf{v}_0 t $$

3. The Moving Ground

The Earth rotates beneath the projectile during flight.

The launch point and target point are transported laterally while the projectile is in transit.

The projectile does not curve. The surface does.

4. Nested Transport Geometry

The observed trajectory is the difference between:

This mismatch produces apparent curvature.

$$ \Delta \mathbf{r}(t) = \mathbf{r}_{\text{projectile}} - \mathbf{r}_{\text{ground}} $$

5. Why Deflection Depends on Latitude

The local tangential velocity of Earth varies with latitude.

Shots fired poleward or equatorward inherit different lateral velocities than the ground beneath them.

No force is required — only relative transport.

6. Two Independent Derivations

Method A: Frame Transport
Compute projectile motion in an inertial frame, then subtract Earth’s rotation.

Method B: Energy–Inertia Accounting
The projectile conserves its initial tangential velocity while the ground does not.

Both predict identical deflection.

7. Why Coriolis Forces Were Invented

Freezing the Earth frame makes inertial motion appear curved.

Forces are then added to repair the description.

This preserves equations but inverts cause.

8. What the Effect Really Demonstrates

Coriolis deflection demonstrates that motion persists while frames move.

It is evidence for inertia, not force.

9. Transport-First Summary

The projectile does not curve.

The Earth does.

Forces are bookkeeping for frozen frames.