Translational collective coordinate and inertia

Insert an actual moving family into the same action, including velocity-induced deformation; isotropy is an additional condition.

Theory · CANDIDATE MODELEquation version 1.0.0

Based on the final manuscript · Chapters 4 and 5

ASD-WEB-MAT-010

L_{\rm coll}=-E_{\rm rest}+\tfrac12M_{ij}\dot X_i\dot X_j+\cdots,\qquad M_{ij}=m_I\delta_{ij}\ \text{in an isotropic limit}

Insert an actual moving family into the same action, including velocity-induced deformation; isotropy is an additional condition.
Chapter reference: Ch. 4 (4.35); Ch. 5 (5.6.26) · ASD-BOOK-ddbade997b45

Assumptions and derivation Registry and dependencies Research this equation Discuss this equation

Source and ID

ASD-WEB-MAT-010 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

Return to premises and derivation

Adopted source, conditions and previous versions

Ch. 4 (4.35); Ch. 5 (5.6.26)

Registered equation, symbols and scope checked against the final manuscript; original ID and scientific status preserved.

Conditions retained in this adoption

Insert an actual moving family into the same action, including velocity-induced deformation; isotropy is an additional condition.

Source locators: p1416–p1418 · p2283–p2288

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

Download source identity manifest

The manifest identifies the source; it is not the complete manuscript. Adopting this source does not upgrade evidence or grant a new licence.

Previous source, retained as history

MAT-d1034a344d58 · Ch. 4 (4.35); Ch. 5 (5.6.26)

DEPENDS ON

Dependencies

USED BY

Uses of this equation

Discuss this page Browse all equations