taylor tide notes
DOCX · 99.2 KB
Open DOCX file
Short personal notes by Phil (dated 1.20.17) going page by page through the tides section of John Taylor's 2005 mechanics book, starting at book page 330. He comments on Taylor's tidal force equation, the potential calculation, and the 54 cm and 25 cm tide heights that match his own results. He also notes that Taylor never includes the Earth's rotation, so has no latitude plots, and mentions the following G Rule section.
AI-written summary; may contain errors.
Extracted text (machine-read; may contain errors)
Notes on Taylor's Tides Section PhL 1.20.17
Starts on his page 330 (pdf p 345).
[330] ok
[331] arm waving argument not very convincing to me
[332] quickly gets the tidal force equation
[333] the four arrows picture. Shape of surface. Claims
He says both pieces are "conservative" forces. I goofed this up in my early doc "the tide potential calculation v2" and now fixed it up, but I never came up with a viable potential. Here Taylor is going to do it! His effort is similar to my normal calculation effort, takes 2 pages of algebra. He then gets the same 54 cm and 25 cm.
[334] his potential calc
[335] Results for height. Effect of land masses etc alters the theory. Neap and spring.
And so ends this tide section. I thought it was longer? Nope, that's it, all done. His next topic is the G Rule in this section
This section talks about the rotation cone that I draw a few times. Rotating frames and
He then gets the G Rule
Taylor's 2005 book is good, well written and well organized. Preface says it is for use after you have already had a Freshman mechanics course, perhaps you are a Junior when you use his book.
Taylor never turns the rotation of the Earth on, so there are no plots of tides for latitudes as I have tried to do, so at least I have done something he has not done. He is a fan of Maple and such systems.