Sunday, June 21, 2020

Declination of the Sun

Over the course of a year, to an observer on Earth, the Sun travels from extreme North in June to South in December, and back again.  The Seasons are determined by these changes in the Declination of the Sun---its angle North or South of the Equator.  Tides respond to the Declination of the Sun as well.   The following animation was constructed from photographs of the Earth over time from the  perspective of an observer beyond the Solar System..  . 

 

https://twitter.com/weatherdak/status/1274383843215110145

 

In reality, it is the Earth that is moving, relative to the Sun. 

 

 

Saturday, June 20, 2020

Space Age Understandings of Tides



Tide science long suffered from a lack of measurements of tides in mid-oceans.  Am impressive number of tide gauges have dotted the coasts.  In the central Pacific, for example, tide records have been available only for isolated, scattered islands.  In recent years, satellites have been able to measure sea level with an accuracy of a few centimeters at thousands of points all over the globe.

William Whewell led one of the first science projects: he organized volunteers all over the globe to measure the tide.  In her blog, Caren Cooper describes his "great tide experiment":

With the consent of the British Admiralty, Whewell coordinated thousands of people in nine nations and colonies on both sides of the Atlantic in the synchronized measurement of tides. At over 650 tidal stations, volunteers followed Whewell’s instructions for measuring tides every 15 minutes, around the clock, during the same two week period in June 1835. Volunteers in the “great tide experiment” included dockyard officials, sailors, harbormasters, local tide table markers, coastal surveyors, professional military men, and amateur observers.
Drawing on this data, Whewell compiled a tide map:

Whewell brought it all together into maps illustrating how the tides progressed across the Atlantic Ocean and onto shores, inlets, ports, and into rivers and estuaries.

With no measurements mid-Ocean, he had to fill in the gaps with guess work and deduction.   Later, in 1909, Rollin Harris had more data available when he produced the following map in Popular Science Monthly of the tides of the Atlantic.  The lines represent the progress of the tide over time, each line representing one hour. Roman numerals represent the hours.



Until quite recently, knowledge of the tides of the central Pacific Ocean were limited to records of tide gauges on islands.  Whewell deduced certain features from known features of the tides around the coasts of the Ocean.   The following shows a global map, somewhat more recent.


 

 The following figure is a much more modern iteration of such a map based on satellite altimetry, from NASA.  




 A particularly effective illustration of Amphidromes is found on the University of Pennsylvania website.






 The tides of Tahiti are famed for their minimal amplitude range, and have drawn the attention of a number of tide scientists in the 19th and Early 20th Centuries, due to this and other peculiar characteristics.  Captain James Cook remarked, in Tahiti, that "The tides are perhaps as inconsiderable in these Seas as in any part of the world."  In attempting to explain seeming anomalous times of high and low tides in  Cook's  measurements, Henry Maskelyn, a Royal Astronomer, suggested that measuring the tides at certain times was problematical:

The times of high and low water seem to be subject to great irregularity on particular days; no doubt owing to the small rise of the water ... which renders it more liable to be disturbed by the action of the winds and other causes: part of the irregularity may be attributed to the difficulty of observing the time of flood or ebb, with any degree of certainty.


The following  two animations are models of global tides for two days, the first  near the time of 1st Quarter Moon of early March, 2020, during a period of Neap Tides.  The second represents a period of Spring Tides, when the moon is Full in April 2020, during Spring Tides.  I have taken the liberty of modifying  Svetlana Erofeeva's animation by position a red star near the position of Tahiti, to illustrate the relationship between the "inconsiderable" tides of Tahiti and the nearness to the Amphidrome


Neap Tide

Spring Tide


Spring Tide.  A red star is placed near Tahiti.

This animation shows water sloshing around the oceans, under the influence of the Moon and Sun.  Because of the shape, size, and depth of the Pacific Basin, the movement at Tahiti, near the Star, is indeed inconsiderable. T  hese animated models amount to  Space Age tide tables.  Availability of satellite sea level data has made it possible to predict tides even in mid-Ocean, where, for Centuries, no tide data, or very little, could possibly exist. 

  These two animations are modified versions of the TPXO9 model products of Oregon State University. These animations By Svetlana Erofeeva and Gary Egbert cannot be overestimated in their contribution to modern tide science.  My  general understanding of the workings of the tides has benefited immensely from their study.  Their work is at the forefront of the long history of the science of tides.


Timezones are impossible

This video was linked on the Emacs Org-mode mailing list.  The discussion was about an desire to incorporate timezones into some particular ...