Posts Tagged ‘resonance’


The lead researcher spoke of “a new and natural explanation for the unbiased observation, that the L4 asteroids are about 1.6 times more than the asteroids in the L5 swarm.” In other words, a ratio of 8:5. In 2018 another team, studying Jupiter’s poles, ‘found an octagon-shaped grouping over the north pole, with eight cyclones surrounding one in the middle, and a pentagon-shaped batch over the south pole. Each cyclone measures several thousand miles (kilometers) across.’ Again, a ratio of 8:5.
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An international team of scientists, including NYU Abu Dhabi researcher Nikolaos Georgakarakos and others from the U.S., Japan, and China, led by Jian Li from Nanjing University, has developed new insights that may explain the numerical asymmetry of the L4 and L5 Jupiter Trojan swarms, two clusters containing more than 10,000 asteroids that move along Jupiter’s orbital path around the sun.

For decades, scientists have known that there are significantly more asteroids in the L4 swarm than the L5 swarm, but have not fully understood the reason for this asymmetry, says Phys.org.

In the current configuration of the solar system, the two swarms show almost identical dynamical stability and survivability properties, which has led scientists to believe that the differences came about during earlier times of our solar system’s life.

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Earth and climate – an ongoing controversy


Introducing the term: Astronomical Harmonic Resonances (AHR). To see the figures cited below, go to the original article (here). A familiar topic to long-time Talkshop visitors, e.g. here.
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The mechanism and even the existence of the Atlantic Multidecadal Oscillation (AMO) have remained under debate among climate researchers, and the same applies to general temperature oscillations of a 60- to 90-year period, writes Antero Oilia, Ph.D. @ Climate Change Dispatch.

The recently published study of Ollila and Timonen has found that these oscillations are real and they are related to 60- and 88-year periodicities originating from the planetary and solar activity oscillations.

These oscillations can be observed in the Atlantic Multidecadal Oscillation (AMO), the Pacific Multidecadal Oscillation (PMO), and actually in the global surface temperature (GST). The similarities between the GST, AMO, PMO, and AHR (Astronomical Harmonic Resonances) are obvious in Fig. 1.

The oscillations are not limited only to temperatures.

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Mars [image credit: ESA]


Wikipedia says: ‘Within the Solar System there are five candidates for Schumann resonance detection besides the Earth: Venus, Mars, Jupiter, Saturn, and Saturn’s biggest moon Titan.’ The frequencies reported from Mars in 2009 are also found on Earth.
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The interaction of dust particles in Martian dust storms may cause electric fields that are powerful enough to have charges that induce standing electromagnetic waves known as Sсhumann resonances, reports Phys.org.

This is the conclusion drawn by physicists from HSE University, the Space Research Institute, and MIPT. The paper was published in the journal Icarus.

Mars has been a focus of active study over the last decade, with researchers looking at possible space missions to the planet. Knowledge about the Martian atmosphere increases the chances that such missions will be successful.

In particular, the behavior of dust particles and the plasma-dust system on the surface of Mars should be taken into account in planning space trips.

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Professor says it’s “a giant feedback loop in space.”

Spaceweather.com

Sept. 20, 2021: No solar storms? No problem. Earth has learned to make its own auroras. New results from NASA’s THEMIS-ARTEMIS spacecraft show that a type of Northern Lights called “diffuse auroras” comes from our own planet–no solar storms required.

Diffuse auroras look a bit like pea soup. They spread across the sky in a dim green haze, sometimes rippling as if stirred by a spoon. They’re not as flamboyant as auroras caused by solar storms. Nevertheless, they are important because they represent a whopping 75% of the energy input into Earth’s upper atmosphere at night. Researchers have been struggling to understand them for decades.

Above: Diffuse auroras and the Big Dipper, photographed by Emmanuel V. Masongsong in Fairbanks, AK

“We believe we have found the energy source for these auroras,” says UCLA space physicist Xu Zhang, lead author of papers reporting the results in the Journal of Geophysical Research: Space…

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Lagrange points in the Sun–Earth system (not to scale). A small object at L4 or L5 will hold its relative position [Credit: Xander89 @ Wikipedia]


More about Lagrange points here.
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A recently discovered asteroid appears to be an Earth Trojan, orbiting a gravitationally stable area with only one other known occupant, says Sky & Telescope.

Trojans are asteroids gravitationally locked to stable Lagrange points either 60° ahead (L4) or behind (L5) the planets in their orbits around the Sun. 2020 XL5 was found around the L4 point.

Massive Jupiter has more than 9,000 Trojans.

In theory, Trojan orbits would be stable around every planet except Saturn, where Jupiter’s gravity pulls them away.

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NASA’s exoplanet hunter (TESS)
[image credit: MIT]


This three-planet system has orbit periods ranging from under two to over sixteen days, obviously another very compact group. Their star is slightly smaller and less powerful than our Sun.

Planets b and c are a fraction of Jupiter’s size, but planet d is vast with a radius of over four Jupiters, or about 45 Earth radii.

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Credit: NASA


This six-planet system has orbit periods from 1.9~ to 20.7~ days, all much closer to their star than Mercury is to the Sun.

It was recently ‘upgraded’ from the three planets discovered in 2018 and 2019.

As usual, the key to understanding the timings of the orbits is to look at the conjunction periods of the neighbour pairs.

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Credit: NASA [click on image to enlarge]


The effects of relative proximity between these large moons seem to have been underrated. Not forgetting that Jupiter does have a big effect on Io, the closest Galilean moon to it.
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Jupiter’s “ocean world” moons may have strong gravitational effects on each other, raising big tides in each others’ subsurface seas, a new study suggests [Space.com reporting].

Surprisingly, these moon-moon tidal forces might generate more heat in the satellites’ oceans than the gravitational tugs of giant Jupiter, study team members found.

“That’s kind of interesting, because Jupiter is the biggest mass in that system, so its tidal forces are much bigger than one moon on another,” lead author Hamish Hay, who performed the work while at the University of Arizona’s Lunar and Planetary Laboratory, said in a statement.

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Super-WASP telescope site, La Palma [image credit: lapalma-island.com]


In nearly six years there are 247 b and 63 c orbits. Since 248:62 is 4:1, it can be seen why the observed ‘acceleration and deceleration’ of the planets might occur.
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Astronomers using the SuperWASP-North telescope on La Palma in the Canary Islands, Spain, and the SOPHIE spectrograph at the Observatoire de Haute-Provence, France, have discovered two giant exoplanets circling the G-type dwarf star WASP-148, reports Science News.

WASP-148 is a slowly rotating, inactive G-dwarf star 809 light-years away in the constellation of Hercules.

Also known as TYC 3083-295-1 and 2MASS J16563135+4418095, the star has the same mass and radius as the Sun.

WASP-148 hosts a planetary system composed of at least two giant planets, WASP-148b and c.

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Researchers now want to ‘understand both the processes that excite the waves and the processes that act to damp the waves.’
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A ringing bell vibrates simultaneously at a low-pitched fundamental tone and at many higher-pitched overtones, producing a pleasant musical sound, says Phys.org.

A recent study, just published in the Journal of the Atmospheric Sciences by scientists at Kyoto University and the University of Hawaii at Mānoa, shows that the Earth’s entire atmosphere vibrates in an analogous manner, in a striking confirmation of theories developed by physicists over the last two centuries.

In the case of the atmosphere, the “music” comes not as a sound we could hear, but in the form of large-scale waves of atmospheric pressure spanning the globe and traveling around the equator, some moving east-to-west and others west-to-east.

Each of these waves is a resonant vibration of the global atmosphere, analogous to one of the resonant pitches of a bell.

The basic understanding of these atmospheric resonances began with seminal insights at the beginning of the 19th century by one of history’s greatest scientists, the French physicist and mathematician Pierre-Simon Laplace.

Research by physicists over the subsequent two centuries refined the theory and led to detailed predictions of the wave frequencies that should be present in the atmosphere. However, the actual detection of such waves in the real world has lagged behind the theory.

Now in a new study by Takatoshi Sakazaki, an assistant professor at the Kyoto University Graduate School of Science, and Kevin Hamilton, an Emeritus Professor in the Department of Atmospheric Sciences and the International Pacific Research Center at the University of Hawaii at Mānoa, the authors present a detailed analysis of observed atmospheric pressure over the globe every hour for 38 years.

The results clearly revealed the presence of dozens of the predicted wave modes.

Full article here.


Their orbits have a ratio of 247:63, whereas 248:62 = 4:1.
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Several interacting exoplanets have already been spotted by satellites.

But a new breakthrough has been achieved with, for the first time, the detection directly from the ground of an extrasolar system of this type, reports Phys.org.

An international collaboration including CNRS researchers has discovered an unusual planetary system, dubbed WASP-148, using the French instrument SOPHIE at the Observatoire de Haute-Provence (CNRS/Aix-Marseille Université).

The scientists analyzed the star’s motion and concluded that it hosted two planets, WASP-148b and WASP-148c. The observations showed that the two planets were strongly interacting, which was confirmed from other data.

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Wikipedia says:
LHS 1140 is a red dwarf in the constellation of Cetus…The star is over 5 billion years old and has 15% of the mass of the Sun. LHS 1140’s rotational period is 130 days…LHS 1140 is known to have two confirmed rocky planets orbiting it, and a third candidate planet not yet confirmed.

Planet b was in the media spotlight in 2017:
LHS 1140b: Potentially Habitable Super-Earth Found Orbiting Nearby Red Dwarf – Sci-News.

“This is the most exciting exoplanet I’ve seen in the past decade,” said Dr. Jason Dittmann, an astronomer at the Harvard-Smithsonian Center for Astrophysics and lead author of the Nature paper.
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“The LHS 1140 system might prove to be an even more important target for the future characterization of planets in the habitable zone than Proxima b or TRAPPIST-1,” concluded co-authors Dr. Xavier Delfosse and Dr. Xavier Bonfils, both at the CNRS and IPAG in Grenoble, France.

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With orbit periods ranging from only 2-12 days, this must be one of the most compact multi-planet systems found so far.

Almost visible to the naked eye in the Draco constellation, the star HD 158259 has been observed for the last seven years by astronomers using the SOPHIE spectrograph, reports Phys.org.

This instrument, installed at the Haute-Provence Observatory in the South of France, acquired 300 measurements of the star.

The analysis of the data which was done by an international team led by researchers from the University of Geneva (UNIGE), has resulted in the discovery that HD 158259 has six planetary companions: a “super-Earth” and five “mini-Neptunes.”

These planets display an exceptionally regular spacing, which hints at how the system may have formed.

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Wikipedia says:

Dansgaard–Oeschger events (often abbreviated D–O events) are rapid climate fluctuations that occurred 25 times during the last glacial period. Some scientists say that the events occur quasi-periodically with a recurrence time being a multiple of 1,470 years, but this is debated. —

The 25 occurrences of 1470 years are represented in this synodic chart posted in the comments of our 2018 blog post:
Possible origin of Dansgaard-Oeschger abrupt climate events.

Re. the ‘debate’, let’s take a line from this paper:
On the 1470-year pacing of Dansgaard-Oeschger warm events
Michael Schulz
First published: 01 May 2002
Citations: 99
‘a fundamental pacing period of ~1470 years seems to control the timing of the onset of the Dansgaard-Oeschger events.’

Another study: Timing of abrupt climate change: A precise clock
Stefan Rahmstorf
First published: 21 May 2003

An analysis of the GISP2 ice core record from Greenland reveals that abrupt climate events appear to be paced by a 1,470-year cycle with a period that is probably stable to within a few percent; with 95% confidence the period is maintained to better than 12% over at least 23 cycles. This highly precise clock points to an origin outside the Earth system; oscillatory modes within the Earth system can be expected to be far more irregular in period.

[bold added]

However, researchers often admit defeat when looking for a viable mechanism to explain its regularity, or just say there isn’t one to date.

Kepler’s trigon – the orientation of consecutive Jupiter-Saturn synodic periods, showing the repeating triangular shape (trigon).


Returning to the synodics chart, a relevant number doesn’t appear in it. The Jupiter-Saturn conjunction of 19.865~ years is an important period in the solar system, and it returns to almost the same position after every three occurrences, as Johannes Kepler noted with his ‘trigon’, centuries ago.

We can work out the rate of movement per conjunction in degrees:
360 – ((360 / S) * J-S) = 117.147 degrees
(360 / 117.147) * J-S = 61.046482y (‘JS-360’)
[Data: https://ssd.jpl.nasa.gov/?planet_phys_par ]

Then, from the chart:
1470*25 / ‘JS-360’ = 602.00029
Check: (602*360) / 117.147 = 1849.983 (1850 J-S, see chart)
Since ‘JS-360’ is almost exactly a whole number (602), the Jupiter-Saturn conjunction should be in its original position at the end of the 25 D-O cycles.

Adding 602 to the orbits of each planet = multiples of 25:
223(N) + 602 = 825 (25*33) = 1850-1025(S-N)
[33 = 74-41]
1248(S) + 602 = 1850 (25*74)
3098(J) + 602 = 3700 (25*74*2)

Another way to get multiples of 25:
Add 2 to each orbit number (see chart), and subtract 2 from 602.

More on the 602 number:
602 = 14*43
14*61.046482y = 854.651y
43 J-S = 854.197y
These two results are only about half a year apart, and we find:
43*43 = 1849 J-S
Add 1 = 1850 J-S completing the 25 D-O cycle.

43*61.046482y = 2625 years (2624.9987)
1470:2625 = 14:25 ratio
1470*25 = 2625*14 (hence 602 of ‘JS-360’ = 14*43)

Obliquity note:
28 D-O = 41160 years, a fair match to the expected 41 kyr period.
One paper refers to a fit between D-O and obliquity.
Others support the notion of a link — possibly a topic for another post.
(28*25*1470 = 1,029,000 years)

Example of a 1470 year period from Arnholm’s solar simulator — click on image to enlarge:

Showing Neptune, Jupiter, Saturn and Earth.
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Another one — Jupiter, Neptune, Saturn

Image credit: beforeitsnews.com

The aim here is to show how the synodic periods and orbits of these three planets align with the so-called Grand Synod, a period of about 4628 years which has 27 Uranus-Neptune conjunctions and almost 233 Jupiter-Saturn conjunctions. Its half-period is sometimes referred to as the Hallstatt cycle (2314 years +/- a variable margin).

1. U-N ‘long period’
1420 Uranus-Neptune conjunctions = 1477 Neptune orbits
(for calculations, see Footnote)
1477 – 1420 = 57
Uranus-Neptune 360 degrees return is 1420/57 U-N = 24.91228 U-N long period = 4270.119 years

2. GS : U-N ratio
Grand Synod = 27 U-N = 4627.967 years (= ~233 Jupiter-Saturn conjunctions)
27 / 24.91228 = 1.0838028
1.0838028 * 12 = 13.005633
Therefore the ratio of 4627.967:4270.119 is almost exactly 13:12 (> 99.956% true)

3. Orbital data
Turning to the orbit periods nearest to the Grand Synod:
28 Neptune = 4614.157y
55 Uranus = 4620.927y
(Data: https://ssd.jpl.nasa.gov/?planet_phys_par )

4. Factor of 12
These periods fall slightly short of the 27 U-N Grand Synod (~4628 years).
However, multiplying by 12 and adding one orbit to each, gives:
28*12,+1 (337) Neptune = 55534.67y
55*12,+1 (661) Uranus = 55535.14y
27*12 (661 – 337) U-N = 55535.61y

Now the numbers match to within a year +/- 55535 years.
Also, the period is 12 Grand Synods (12*4628 = 55536y), or 13 U-N ‘long’ periods.

5. Pluto data
Pluto’s orbit period is 247.92065 years.
55535 / 247.92065y = 224.003
So 224 Pluto orbits also equate to 12 Grand Synods.


Therefore, a U-N-P synodic chart can be created for that period of time.

6. Neptune:Pluto orbits
Neptune has one more orbit in the period than an exact 3:2 ratio with Pluto – a planetary resonance.
224 P = 112*2
337 N = 112*3, +1
113 N-P = 112, +1

7. Phi factor
Uranus and Neptune both have one more orbit than this ratio:
660:336 = (55*12):(21*16)
55/21 = Phi²
12/16 = 3/4
Therefore the U:N ratio is almost (3/4 of Phi²):1

The U-N-P chart should repeat every 12 Grand synods i.e. every 55,535 years or so.
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Footnote
360 / Neptune orbit (164.79132) = 2.184581
2.184581 * U-N conjunction (171.40619) = 374.4507
374.4507 – 360 = 14.4507

Obtain nearest multiple of 360 degrees:
1420 * 14.4507 = 20519.9994
20520 / 360 = 57
1420 + 57 = 1477
1420 U-N = 1477 Neptune orbits
1420 + 1477 = 2897 Uranus orbits

Update (Dec. 2020): the number of occurrences of the Uranus-Neptune conjunction precession in the period is 337 – 324 = 13. Therefore the ratio of that period to the Grand Synod (GS) is 13:12, because the GS is 27 U-N and 324 = 27*12.









There’s been a data update for the three planet system of star YZ Ceti, which featured in our 2018 post: Why Phi? – resonant exoplanets of star YZ Ceti. According to NASA the third planet YZ Ceti d is a ‘super Earth’, about 1.14 times the mass of our planet.

The paper:
‘The CARMENES search for exoplanets around M dwarfs.
Characterization of the nearby ultra-compact multiplanetary system YZ Ceti’
(Submitted on 5 Feb 2020)

With an additional 229 radial velocity measurements obtained since the discovery publication, we reanalyze the YZ Ceti system and resolve the alias issues.

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Kepler-90 Planets Orbit Close to Their Star [credit: NASA/AMES]


In part 1 we looked at the inner four planets: b,c,i and d. Here in part 2 we’ll look at the outer four: e,f,g and h – with a dash of d included.

The largest planet in the system is h, the outermost of the eight so far found, and it’s about the same size as Jupiter. It’s ‘an exoplanet orbiting within the habitable zone of the early G-type main sequence star Kepler-90’, says Wikipedia. However, ‘it is a gas giant with no solid surface’, so probably no aliens lurking there.

It wasn’t that easy to find synodic patterns of interest, but here we have two examples, both involving planet h.

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Credit: metro.co.uk


The idea is that “Every time the rock sags into the chamber, it creates a resonance and this produces this strange signal that you see far away.” Is this really ‘The Hum’?

Can you hear it? That elemental thrumming emerging just beneath the engulfing din of everyday city and suburban life? 

Well, chances are you’re not losing your mind or developing some extra-human ability akin to comic book superheroes, says SyfyWire.

Better odds are that it’s Mother Earth’s growing pains in the form of loud volcanic stirrings, as revealed in a new study published in the journal Nature Geoscience.

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Golden rectangle: Fibonacci spiral


Unusually, the eight planets in the Kepler-90 system were found using machine learning. “It’s very possible that Kepler-90 has even more planets that we don’t know about yet,” NASA astronomer Andrew Vanderburg said.
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From Wikipedia’s Near resonances section on exoplanet Kepler-90:

“Kepler-90’s eight known planets all have periods that are close to being in integer ratio relationships with other planets’ periods; that is, they are close to being in orbital resonance.

The period ratios b:c, c:i and i:d are close to 4:5, 3:5 and 1:4, respectively (4: 4.977, 3: 4.97 and 1: 4.13) and d, e, f, g and h are close to a 2:3:4:7:11 period ratio (2: 3.078: 4.182: 7.051: 11.102; also 7: 11.021).

f, g and h are also close to a 3:5:8 period ratio (3: 5.058: 7.964). Relevant to systems like this and that of Kepler-36, calculations suggest that the presence of an outer gas giant planet facilitates the formation of closely packed resonances among inner super-Earths.”
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Let’s look at it another way i.e. at the synodic periods rather than the orbit ratios, as these tend to deliver more clear-cut results, starting with a model for the first four planets: b,c,i and d, which we’ll call the inner planets. Their orbits of the star are in a range of 7-60 days.

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Mount Etna, Sicily


The article says: ‘Every 6.4 years, the axes line up and the wobble fades for a short time.’ This looks a lot like 5.4 Chandler wobbles (CW), so you would have 6.4 years minus 5.4 CW = 1 cycle, i.e. 32:27 ratio = 5 (32-27) cycles.
Much more analysis of this time period and related matters in this 2013 Talkshop post:
Ian Wilson: Solar System Timings Evolved Lunar Orbital Elements Linked to Earth’s Chandler Wobble
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New research suggests forces pulling on Earth’s surface as the planet spins may trigger earthquakes and eruptions at volcanoes, reports Phys.org.

Seismic activity and bursts of magma near Italy’s Mount Etna increased when Earth’s rotational axis was furthest from its geographic axis, according to a new study comparing changes in Earth’s rotation to activity at the well-known Italian volcano.

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