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June 11, 2018 at 9:49 pm #52618c_howdyParticipant
Kepler was used to receiving this sort of letter and was delighted that Galileo Galilei (see page 297) had decided to confide in him, if somewhat cryptically. … Sending such messages allowed scientists, in an era before copyrights and patents, … as: ‘I have observed the highest [most distant] planet [Saturn] to be of triple form.
-JUSTIN POLLARD, Boffinology:The Real Stories Behind Our Greatest Scientific Discoveries Paperback
June 12, 2018 at 12:49 am #52619c_howdyParticipant…I-Can’t-See-Beyond-A-Few-Metres…
I have impression that badly myopic persons cannot really see beyond few centimetres so it must be nasty.
…in Indian bodily alchemy…
There are some very nice remarks about these things in Brunton’s book also.
…this identity is attached to thoughts…
It’s very good beginning to start with thoughts in my opinion.
…Mr Penrose…
Is not only interesting mathematical physicist, but philosopher etc.
Sorry for my broken English.
HOWDY
June 13, 2018 at 12:52 am #52623c_howdyParticipanthttps://phys.org/news/2018-04-simulations-viking-sunstone-accurate.html
April 4, 2018 by Bob Yirka
A pair of researchers with ELTE Eötvös Loránd University in Hungary has run computer simulations that suggest that tales of Vikings using a sunstone to navigate in cloudy weather might be true. In their paper published in Royal Society Open Science, Dénes Száz and Gábor Horváth describe the factors that contributed to their simulations and what they found by running them.
For the time period 900 to 1200 AD, Vikings, by nearly all accounts, ruled the northern Atlantic. Their skill in building strong boats and in navigation allowed them to travel throughout the North Atlantic. Prior research has suggested the Vikings used a type of sundial to navigate, which was apparently quite accurate. But what did they do when it was cloudy or foggy? Viking tales passed down through the generations claimed it was through the use of sunstones, which allowed Viking navigators to find the sun even on cloudy days. But proving the tales true has been problematic—no sunstone has ever been found on or near a Viking shipwreck. A crystal was found on a 16th-century English shipwreck in 2002—and English sailors could have learned to use them from the Vikings—but much stronger evidence is needed.
Most who have studied the possibility of a sunstone assume it was a form of crystal—it has been noted that some crystals, such as those formed from calcite, cordierite, and tourmaline, can split sunlight into two beams even when it is cloudy—and when the crystal is turned, splitting the two beams at the same brightness, a navigator could see the polarized rings around the sun—effectively showing its placement in the sky.
Száz and Horváth noted that thus far, no one has actually tested the use of such crystals to navigate from Norway to Iceland, Greenland, or even North America, likely because one or two excursions would not be enough to prove its usefulness, especially if it was not cloudy very often during such a journey. A better approach, they thought, would be computer simulations of multiple trips from one single point in Norway to one point in Greenland. After inputting data describing such trips, the researchers ran the simulations multiple times over the course of two specific virtual days, the spring equinox and the summer solstice. They ran the trials for different types of crystals and with differing intervals between sunstone tests.
The researchers report that they found mixed results overall, depending on which type of crystal was used and how often a mariner made a sun reading. In the best-case scenario, however, they found that using a cordierite crystal for a minimum of every three hours was approximately 92.2 to 100 percent accurate.
Success of sky-polarimetric Viking navigation: revealing the chance Viking sailors could reach Greenland from Norway, Published 4 April 2018. DOI: 10.1098/rsos.172187
Abstract
According to a famous hypothesis, Viking sailors could navigate along the latitude between Norway and Greenland by means of sky polarization in cloudy weather using a sun compass and sunstone crystals. Using data measured in earlier atmospheric optical and psychophysical experiments, here we determine the success rate of this sky-polarimetric Viking navigation. Simulating 1000 voyages between Norway and Greenland with varying cloudiness at summer solstice and spring equinox, we revealed the chance with which Viking sailors could reach Greenland under the varying weather conditions of a 3-week-long journey as a function of the navigation periodicity Δt if they analysed sky polarization with calcite, cordierite or tourmaline sunstones. Examples of voyage routes are also presented. Our results show that the sky-polarimetric navigation is surprisingly successful on both days of the spring equinox and summer solstice even under cloudy conditions if the navigator determined the north direction periodically at least once in every 3 h, independently of the type of sunstone used for the analysis of sky polarization. This explains why the Vikings could rule the Atlantic Ocean for 300 years and could reach North America without a magnetic compass. Our findings suggest that it is not only the navigation periodicity in itself that is important for higher navigation success rates, but also the distribution of times when the navigation procedure carried out is as symmetrical as possible with respect to the time point of real noon.Journal reference: Royal Society Open Science
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