First-order transverse deflection

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Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

\frac{d\theta}{dx}\simeq\left.\frac{\partial n_{\mathrm{iso}}}{\partial y}\right|_{y=b}=-\frac{2\ell_gb}{(x^2+b^2)^{3/2}}

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Chapter reference: Final collected manuscript · Chapter 2 §IV.5 (2.48); retain linear small-deflection accuracy · ASD-BOOK-ddbade997b45

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ASD-WEB-GRV-014 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 2 §IV.5 (2.48); retain linear small-deflection accuracy

Conditional on the stated inputs and domain. Manuscript numbering is separate from the website ID.

Conditions retained in this adoption

Fixed G₀; isolated, static, spherically symmetric, uncharged exterior.
Areal radius, actual spatial length and reference optical path are defined separately.
Weak-field perturbation, slow-rotation far field and boundary statistics each have separate conditions.

Specific unresolved source issues

Microscopic source matching, dynamical strong fields and full boundary-state dynamics remain open.

Source locators: p0682 · p0687 · p0737 · p0739 · p0741 · p0744 · p0748 · p0750 · p0752 · p0754 · p0779 · 最终合订稿 · 第二章 §四.5 (2.48)；保留线性小偏折精度

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

FND-3dde8d8e081d · 第二章 / Chapter 2 · (2.48), p. 15

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