Phil Lucht Math & Physics Archive
Home / Math and Physics Files / Physics / Mechanics / frames doc stuff / PDF downloads

Notes on the Butikov tide paper

DOCX · 169.7 KB
Open DOCX file

Informal notes by Phil, dated 1.20.17, going through Butikov's 11-page tide paper section by section. He compares its tidal-force derivation, polar-coordinate expression, order-of-magnitude estimate and the standard 54 and 24 cm tide heights with his own treatment. He also questions the term quadrupole and notes the potential method, similar to Taylor's. He only skimmed the later part on forced oscillations.

AI-written summary; may contain errors.

Extracted text (machine-read; may contain errors)
Notes on the Butikov tide paper PhL 1.20.17 This is an 11 page paper written 2001. Author Eugene is at St Pete Russia. [I] Introduction. He will to the static ellipse thing, but then will study the dynamic "waves" which the tides of course imply. He defines my same Frame S' similar to a "frying pan in the hands of a cook". Talks about how to teach this subject to students. On page 2 his four points of interest are these (he does sun, not moon) [3] He gets the four point forces in this section but not the general formula yet. He quickly gets the formula of interest, and an approximate version [4] Here he does what I do in my polar coordinates expression of the tidal force. And he drops the constant factor I mention, and he has this supporting my claim of 10-7 good! Gets the result and quotes the 54 and 24 cm standard results. Why do I always say 53 and 24? Maybe fix this! **** [5] So as I do, he ignores the centrifugal force on the rotating Earth. Mentions that the tidal field is "quadrupole" in nature. What does that really mean? The field has quadrupole moments I guess. I know how to compute the q moments of a charge distribution, but how does that apply here to the tidal force? I cannot get a quick explanation so I won't use this word. He claims to be able to describe the tidal force at some θ' byut I don't see any fancy equations, so I don't think he does what I do on this subject. [6] Here author uses the potential method to obtain the same tide height number a, similar to Taylor. So Butikov can claim to do both methods. OK, I just scanned the rest of the doc on forced oscillations and read none of it. Done here.