Quasistatic potential of a slow source

Leading slow-source, near-zone quasistatic representation; u is the source velocity.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 3

\mathbf A_\tau\simeq\frac{\Phi_{\rm static}}{c^2}\mathbf u=\frac{\mu_0q}{4\pi r}\mathbf u

Leading slow-source, near-zone quasistatic representation; u is the source velocity.
Chapter reference: Final collected manuscript · Chapter 3, equations (3.15) · ASD-BOOK-ddbade997b45

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ASD-WEB-EM-018 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Final collected manuscript · Chapter 3, equations (3.15)

Leading slow-source, near-zone quasistatic representation; u is the source velocity.

Conditions retained in this adoption

Special two-body result: uniform exterior background, equal parallel velocities, transverse separation and virtual displacement at fixed velocity.
Free Maxwell representation: long waves, weak perturbations, transverse constraint, constant coefficients and normalization.
Minimal-coupling sources: macroscopic coarse graining, low-speed point sources or a low-frequency near zone; high-speed closed sources require separate construction.

Specific unresolved source issues

Local results do not automatically close high-speed topological sources, full instrument mapping or global directed propagation.

Source locators: p0999 · p1002 · p1006 · p1013 · p1031 · p1033 · p1036 · p1038 · p1065 · p1128 · p1282 · 最终合订稿 · 第三章式 (3.15)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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EM-f06476f55cae · 第三章 / Chapter 3 · (3.15), PDF p. 5

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