Earth fields lab

Magnetic and electric fields around Earth in a 3D study view.

Interactive 3D model of Earth with a textbook-style dipole view: dayside solar-wind compression, nightside magnetotail stretching, magnetic-versus-geographic axis cues, auroral belts, and a simplified electric-circuit layer.

Field geometry key

How this scene is organized

Yellow loops
Dipole field lines emphasized in a textbook-style meridian view.
Red dashed axis
Magnetic dipole axis, shown near the physical 11 degree offset from the spin axis.
Green axis
Geographic spin axis through the north and south geographic poles.
Blue sheath
Compressed dayside cavity and stretched nightside tail under solar-wind forcing.
North magnetic pole South magnetic pole Auroral oval Electric circuit layer

Theory

How to read the field model

Magnetic field

Earth's global field is approximated as a tilted dipole generated by liquid outer-core dynamo action. The rendered lines emphasize geometry and solar-wind distortion, not magnetometer inversion products.

Electric field

The electric component is shown as a simplified global electric circuit: ionosphere-to-ground potential, return current paths, and storm-time strengthening. It is a conceptual layer, not a full plasma solver.

Influence

These fields shape aurora, radiation-belt access, charged-particle motion, satellite charging environment, and long-conductor induced currents.

Operational caution

Real magnetospheric forecasting depends on solar-wind measurements, IMF orientation, plasma models, and time-dependent coupling that are not solved on this page.

Mathematical model

Field and potential model

Gravity, magnetic, and electric field scenes are generated from vector-field equations. The vectors and surfaces are sampled from formulas, not sketched.

Newtonian gravity

\[\mathbf{g}(\mathbf{r})=-\frac{GM\,\mathbf{r}}{\lvert \mathbf{r}\rvert^3}\]

The gravity vector points toward the mass and falls as inverse square. Field arrows are samples of this equation.

Potential relation

\[\mathbf{g}=-\nabla \Phi\]

The force field is the negative gradient of the potential surface. This verifies that vector direction and potential shape agree.

Dipole field

\[\mathbf{B}(\mathbf{r}) \propto \left[\frac{3\mathbf{r}(\mathbf{m}\cdot\mathbf{r})}{\lvert \mathbf{r}\rvert^5}-\frac{\mathbf{m}}{\lvert \mathbf{r}\rvert^3}\right]\]

Earth-field lines use a dipole approximation. The visualization is a sampled theoretical field with stated simplifications.

Verification standard: the rendered object must be reproducible from stated equations, catalog parameters, or explicit geometric transforms. Visual reference images may inform presentation only; they are not the source of orbital positions, field vectors, accretion-disk gradients, timing, or engineering layout.

Limitations: browser scenes may use bounded scale, compressed distances, simplified two-body dynamics, schematic transfer curves, or educational approximations where full numerical ephemerides, CFD, finite-element models, or general-relativistic ray tracing are outside the page scope. Those simplifications are part of the model contract, not hidden image-based construction.

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