by Chris Peterson » Tue Apr 07, 2020 2:44 pm
neufer wrote: ↑Tue Apr 07, 2020 2:34 pm
Chris Peterson wrote: ↑Tue Apr 07, 2020 1:15 pm
RC Davison wrote: ↑Tue Apr 07, 2020 12:48 pm
Unless I’m missing something I don’t think this statement is quite true:
“This spin-pole-of-the-north will never move from its fixed location on the sky“
With the precession of Earth, the direction of the celestial pole will drift over a period of 26,000 years.
Well, the "spin pole" will never move from the frame of an observer on Earth. What will move is the particular background of stars relative to that pole. But I actually read the statement to mean it wouldn't move as you traveled, other than shifting to reflect your latitude.
https://en.wikipedia.org/wiki/Chandler_wobble wrote:
<<
The Chandler wobble or variation of latitude is a small deviation in the Earth's axis of rotation relative to the solid earth, which was discovered by American astronomer Seth Carlo Chandler in 1891. It amounts to change of about 9 metres in the point at which the axis intersects the Earth's surface and has a period of 433 days. This wobble, which is a nutation, combines with another wobble with a period of one year, so that the total polar motion varies with a period of about 7 years.
The Chandler wobble is an example of the kind of motion that can occur for a spinning object that is not a sphere; this is called a free nutation. Somewhat confusingly, the direction of the Earth's spin axis relative to the stars also varies with different periods, and these motions—caused by the tidal forces of the Moon and Sun—are also called
nutations, except for the slowest, which are precessions of the equinoxes.
The existence of Earth's free nutation was predicted by Isaac Newton in Corollaries 20 to 22 of Proposition 66, Book 1 of the Philosophiæ Naturalis Principia Mathematica, and by Leonhard Euler in 1765 as part of his studies of the dynamics of rotating bodies. Based on the known ellipticity of the Earth, Euler predicted that it would have a period of 305 days. Several astronomers searched for motions with this period, but none was found. Chandler's contribution was to look for motions at any possible period; once the Chandler wobble was observed, the difference between its period and the one predicted by Euler was explained by Simon Newcomb as being caused by the non-rigidity of the Earth. The full explanation for the period also involves the fluid nature of the Earth's core and oceans—the wobble, in fact, produces a very small ocean tide with an amplitude of approximately 6 mm, called a "pole tide", which is the only tide not caused by an extraterrestrial body. Despite the small amplitude, the gravitational effect of the pole tide is easily detected by the superconducting gravimeter.
The International Latitude Observatories were established in 1899 to measure the wobble. These provided data on the Chandler and annual wobble for most of the 20th century, though they were eventually superseded by other methods of measurement. Monitoring of the polar motion is now done by the International Earth Rotation Service.
The wobble's amplitude has varied since its discovery, reaching its largest size in 1910 and fluctuating noticeably from one decade to another. In 2009, Malkin & Miller's analysis of International Earth Rotation and Reference Systems Service (IERS) Pole coordinates time series data from January 1946 to January 2009 showed three phase reversals of the wobble, in 1850, 1920, and 2005.
Since the Chandler wobble should die down in a matter of decades or centuries, there must be influences that continually re-excite it. While it must be due to changes in the mass distribution or angular momentum of the Earth's outer core, atmosphere, oceans, or crust (from earthquakes), for a long time the actual source was unclear, since no available motions seemed to be coherent with what was driving the wobble.
An investigation was done in 2001 by Richard Gross at the Jet Propulsion Laboratory managed by the California Institute of Technology. He used angular momentum models of the atmosphere and the oceans in computer simulations to show that from 1985 to 1996, the Chandler wobble was excited by a combination of atmospheric and oceanic processes, with the dominant excitation mechanism being ocean‐bottom pressure fluctuations. Gross found that two-thirds of the "wobble" was caused by fluctuating pressure on the seabed, which, in turn, is caused by changes in the circulation of the oceans caused by variations in temperature, salinity, and wind. The remaining third is due to atmospheric fluctuations.>>
And, of course, if we look closely enough, it goes beyond not being a perfect sphere. Earth is also not a perfectly rigid body, and it has density variations throughout it which are constantly shifting. All of which go towards making the spin axis somewhat variable. And all of which are insignificant in the context of a image like today's.
[quote=neufer post_id=301114 time=1586270060 user_id=124483]
[quote="Chris Peterson" post_id=301112 time=1586265347 user_id=117706]
[quote="RC Davison" post_id=301110 time=1586263693]
Unless I’m missing something I don’t think this statement is quite true:
“This spin-pole-of-the-north will never move from its fixed location on the sky“
With the precession of Earth, the direction of the celestial pole will drift over a period of 26,000 years.[/quote]
Well, the "spin pole" will never move from the frame of an observer on Earth. What will move is the particular background of stars relative to that pole. But I actually read the statement to mean it wouldn't move as you traveled, other than shifting to reflect your latitude.[/quote][quote=https://en.wikipedia.org/wiki/Chandler_wobble]
[float=right][img3="Weebles wobble, but they don't fall down"]https://upload.wikimedia.org/wikipedia/en/2/29/Weebles_Diddy_Wishingwell.jpg[/img3][/float]
<<[b][color=#0000FF]The Chandler wobble or variation of latitude is a small deviation in the Earth's axis of rotation relative to the solid earth, which was discovered by American astronomer Seth Carlo Chandler in 1891. It amounts to change of about 9 metres in the point at which the axis intersects the Earth's surface and has a period of [url=https://en.wikipedia.org/wiki/4%E2%80%B233%E2%80%B3]433[/url] days. This wobble, which is a nutation, combines with another wobble with a period of one year, so that the total polar motion varies with a period of about 7 years.[/color][/b]
The Chandler wobble is an example of the kind of motion that can occur for a spinning object that is not a sphere; this is called a free nutation. Somewhat confusingly, the direction of the Earth's spin axis relative to the stars also varies with different periods, and these motions—caused by the tidal forces of the Moon and Sun—are also called [url=https://en.wikipedia.org/wiki/Astronomical_nutation]nutations[/url], except for the slowest, which are precessions of the equinoxes.
The existence of Earth's free nutation was predicted by Isaac Newton in Corollaries 20 to 22 of Proposition 66, Book 1 of the Philosophiæ Naturalis Principia Mathematica, and by Leonhard Euler in 1765 as part of his studies of the dynamics of rotating bodies. Based on the known ellipticity of the Earth, Euler predicted that it would have a period of 305 days. Several astronomers searched for motions with this period, but none was found. Chandler's contribution was to look for motions at any possible period; once the Chandler wobble was observed, the difference between its period and the one predicted by Euler was explained by Simon Newcomb as being caused by the non-rigidity of the Earth. The full explanation for the period also involves the fluid nature of the Earth's core and oceans—the wobble, in fact, produces a very small ocean tide with an amplitude of approximately 6 mm, called a "pole tide", which is the only tide not caused by an extraterrestrial body. Despite the small amplitude, the gravitational effect of the pole tide is easily detected by the superconducting gravimeter.
The International Latitude Observatories were established in 1899 to measure the wobble. These provided data on the Chandler and annual wobble for most of the 20th century, though they were eventually superseded by other methods of measurement. Monitoring of the polar motion is now done by the International Earth Rotation Service.
The wobble's amplitude has varied since its discovery, reaching its largest size in 1910 and fluctuating noticeably from one decade to another. In 2009, Malkin & Miller's analysis of International Earth Rotation and Reference Systems Service (IERS) Pole coordinates time series data from January 1946 to January 2009 showed three phase reversals of the wobble, in 1850, 1920, and 2005.
Since the Chandler wobble should die down in a matter of decades or centuries, there must be influences that continually re-excite it. While it must be due to changes in the mass distribution or angular momentum of the Earth's outer core, atmosphere, oceans, or crust (from earthquakes), for a long time the actual source was unclear, since no available motions seemed to be coherent with what was driving the wobble.
An investigation was done in 2001 by Richard Gross at the Jet Propulsion Laboratory managed by the California Institute of Technology. He used angular momentum models of the atmosphere and the oceans in computer simulations to show that from 1985 to 1996, the Chandler wobble was excited by a combination of atmospheric and oceanic processes, with the dominant excitation mechanism being ocean‐bottom pressure fluctuations. Gross found that two-thirds of the "wobble" was caused by fluctuating pressure on the seabed, which, in turn, is caused by changes in the circulation of the oceans caused by variations in temperature, salinity, and wind. The remaining third is due to atmospheric fluctuations.>>[/quote]
[/quote]
And, of course, if we look closely enough, it goes beyond not being a perfect sphere. Earth is also not a perfectly rigid body, and it has density variations throughout it which are constantly shifting. All of which go towards making the spin axis somewhat variable. And all of which are insignificant in the context of a image like today's.