NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: New Moon, Perigee, and Solstice
From: Trevor Kenchington
Date: 2003 Dec 23, 17:47 +0000
From: Trevor Kenchington
Date: 2003 Dec 23, 17:47 +0000
Rodney, I have no intention of disputing what you say -- not least because I don't understand it! I'm afraid that I have too little comprehension of how electronic circuits really work for your analogy to aid my almost-as-limited comprehension of the physics underlying tidal phenomena. Let me try it this way: Imagine a system with just the two tidal constituents, the semi-diurnal lunar and semi-diurnal solar. Imagine also the Sun and Moon remaining perpetually in phase (continuous Full Moon, for example). As I understand it, the water in the various ocean basins would oscillate with a semi-diurnal frequency, the range of the tide at a particular place and the LHA of the Sun and Moon at the time of local high water being determined by the particular pattern of local oscillation. The gravitational pull of the two bodies would feed energy into the tidal movement, while an exactly equal amount of energy would be lost through friction. However, the amount of energy stored within the resonant oscillation would be far greater (on most ocean basins) that the half-daily addition and loss. Now step up to a slightly more realistic model in which the Moon moves around the celestial sphere, relative to the Sun. The tide generating forces created by the two of them combine into something that closely approximates the directional pattern of the forces created by the Moon alone but those forces vary in magnitude on a spring/neap cycle. Possibility #1: As the Sun and Moon come into phase and thus feed energy into the tides at an increasing rate, the tides respond within a few hours (reaching greater ranges and faster rates of drift), such that the energy fed in each day is still essentially balanced by the losses to friction in that day. Possibility #2: The additional energy is partly stored within the oscillating system, while the range and rate of drift (and hence the loss of energy to friction) take some days to build up. Hence the spring/neap cycle in the tides lags the cycle in the tide generating force. Those two are different and #2 cannot be the cause of non-zero "ages" of the tide if #1 is correct. In this second hypothetical model, the semi-diurnal lunar and solar tides must have slightly different periods. Hence, they will tend to set up somewhat different patterns of oscillations in various ocean basins. LHA Sun at HW of the solar component of the tide and LHA Moon at HW of the lunar component will be different (perhaps by a tiny amount, perhaps by a great deal). According to the Admiralty Manual of Tides, on average around the world, LHA Sun at HW of the solar component is larger than LHA Moon at HW of the lunar component, though that is only an average and particular ports can differ. If the two LHAs at your port follow the global average, then HW of the solar component will coincide with HW of the lunar component (producing a spring tide) when LHA Sun is larger than LHA Moon, which clearly occurs a few days after New Moon. (Since we are dealing with semi-diurnal tides, this lag is repeated following Full Moon.) This effect would produce non-zero "ages" of the tide even if Possibility #1 is correct. I see no reason why both Possibility #2 and the different LHAs at HW should not be true simultaneously but, even if they are, that would make them two mechanisms contributing to the same outcome. It would not make them the same outcome. The only way I can rationalize your "You can't separate these things as causes" would be to suppose that Possibility #2 is the physical cause of non-zero "ages" of the tide and that the difference between LHA Sun and LHA Moon at their respective High Waters is just an artifact of decomposing the spring/neap tidal record (including its non-zero "age") into the M2 and S2 harmonics. That, however, would be contrary to the Admiralty Manual's implication that the LHA difference is a _cause_ and that, in the absence of the Moon, the tides really would oscillate in time to the Sun's circuit with the appropriate LHA Sun at HW. I dare say that there are plenty of errors in the above and I would welcome having them pointed out -- particularly by anybody knowledgable enough to provide authoritative answers. On the effects of a tidal barrage at the head of Fundy: I'm not sure that anyone really knows what it would do to amplitudes elsewhere. I can say that the marine geologists here have recently found active erosion of the seabed in the Bay. One possible explanation is that the system is gradually getting nearer to perfect resonance with the semi-diurnal lunar tide (the likely cause being isostatic rebound, which is lifting the New Brunswick side of the bay, while dipping the Atlantic coast of Nova Scotia into the sea -- though the blockage of various tidal rivers by road causeways might be contributing). The other possible explanation is that the scallop draggers and groundfish trawlers are breaking stony lag deposits on the bottom and exposing the underlying glacial deposits to erosion by tides no stronger than they have been in past centuries. I guess both could be simultaneously true. This week, I am trying to make sense of a data set which may provide a bit more information on the effects of the fishing gear (though on the seabed biota rather than the seabed itself). That won't answer any of the above questions but may warn off anyone who wants to ask about gear impacts -- I am liable to drown any inquiry in a torrent of unwanted, and off-topic, information! Trevor Kenchington Rodney Myrvaagnes wrote: > On Mon, 22 Dec 2003 21:02:22 +0000, Trevor J. Kenchington wrote: > > >>Which I think is the same as your explanation albeit in different words. >>However, the Manual continues: >> >>"It is possible that this phenomenon [meaning the greater lag of the >>solar tides, not the Age of the Tide directly] is due to dissipation of >>energy in the coastal fringes." >> >>Which approaches my supposed explanation, without being quite the same. >>However, the Manual is over 60 years old now and there must have been a >>lot of relevant research in that time. Can you suggest somewhere I could >>go for a fuller account of the cause(s) of the Age of the Tide? >> >> > > You can't separate these things as causes. Someone earlier referred to > the "Q" of electrical tank (RLC) circuits. [snip] > > For example, it is apparently known well enough to say that adding some > R at the top of the Bay, by putting a tide mill there, would tune the > bay toward resonance, rather than away. Hence the phrase "Canada's > answer to acid rain," referring to the Maine real estate that would be > lost to a higher tide line. [snip] -- Trevor J. Kenchington PhD Gadus@iStar.ca Gadus Associates, Office(902) 889-9250 R.R.#1, Musquodoboit Harbour, Fax (902) 889-9251 Nova Scotia B0J 2L0, CANADA Home (902) 889-3555 Science Serving the Fisheries http://home.istar.ca/~gadus