Review of NCAL Analytic (Analytical) Force Estimates, Mathematical Details

Document #:

LIGO-T2000238-v9

Document type:

T - Technical notes

Abstract:

This tech note reviews the mathematical derivations of the NCAL system force estimates. Namely, we fill in all the details between published equations from VIRGO and NCAL papers.

The source code for this doc now lives in the git.ligo.org repo as of Feb 09 2021.
https://git.ligo.org/Calibration/documents/t2000238

Files in Document:

• ncalmath_main-v9.pdf (1.5 MB)

Topics:

• Calibration

Authors:

• Laurence Datrier
• Timesh Mistry
• Michael Ross
• Jeffrey Kissel

Notes and Changes:

-v9 now corresponds to git ID 55c5c20a after making absolutely clear of the relationship between d and cylindrical coordinates \rho, in the 3D case.

Referenced by:

• LIGO-E2000214: aLIGO, CAL, NCAL, Essential Technical Notes