Integral of total momentum

The integral uses the chapter’s effective core and common translational velocity; microscopic nonuniform structure still needs matching.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

ASD-WEB-DYN-007

\mathbf p=\mathbf v\int_0^{R_{\mathrm{eff}}}r^2\,dr\int_0^{2\pi}d\alpha\int_0^\pi\rho_I(\phi)\sin\phi\,d\phi

The integral uses the chapter’s effective core and common translational velocity; microscopic nonuniform structure still needs matching.
Chapter reference: Final collected manuscript · Chapter 2 §III.2 (2.12) · ASD-BOOK-ddbade997b45

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Final collected manuscript · Chapter 2 §III.2 (2.12)

The integral uses the chapter’s effective core and common translational velocity; microscopic nonuniform structure still needs matching.

Conditions retained in this adoption

Uniform background, fixed internal state, 0≤v<c and no net radiation.
The LVE directional law and inertial angular weight are separate inputs.
m₀=C_m m_def; adopt C_m=1 and universal mass normalization.

Specific unresolved source issues

The microscopic core profile, inertial weight and four mass responses still require one common structural solution.

Source locators: p0610 · p0613 · p0615 · p0620 · p0624 · p0628 · p0630 · p0936 · 最终合订稿 · 第二章 §三.2 (2.12)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §三，(2.12), PDF p. 8

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