Sphere and Sound Waves

Don demonstrates water oscillations on a speaker in microgravity, and ZZ Top rocks the boat 250 miles above Earth.Science off the Sphere: Space Soundwaves

So of course I might wonder about cymatics in space. It 's more the idea that you could further experiment with the environment with which life on the space station may provide in opportunity. That's all.:)

There is a reason why I am presenting this blog entry.

It has to do with a comparison that came to mind about our earth and the relationship we might see to a sphere of water. Most will know from my blog the relevant topic used in terms of Isostatic adjustment in terms of planet design and formation. It is also about gravity and elemental consideration in terms of the shape of the planet.

Now sure we can expect certain things from the space environment in terms of molecular arrangement but of course my views are going much deeper in terms of the makeup of that space given the constituents of early universe formations.  So here given to states for examination I had an insight in terms of how one may arrange modularization in terms of using the space environment to capitalize.

So there is something forming in mind here about the inherent nature of the matter constituents that I may say deeper then the design itself such arrangements are predestined to become perfectly arranged according to the type of element associated with it?

 I want to be in control of that given a cloud of all constituents so that I may choose how to arrange the mattered state of existence. A planet maker perhaps?:) Design the gravity field. There are reasons for this.

Image: NASA/JPL-

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes.

See Also:

• Water in Zero Gravity
• Grail: Gravity Recovery and Interior Laboratory
• Isostatic Adjustment is Why Planets are Round?
• Universality Can Lead too, Isostatic Adjustment

Formation of Gravity

Wegener proposed that the continents floated somewhat like icebergs in water. Wegener also noted that the continents move up and down to maintain equilibrium in a process called isostasy.Alfred Wegener

Just thought I would add this for consideration. Grace satellite does a wonderful job of discerning this feature? Amalgamating differing perspectives allows one to encapsulate a larger view on the reality of Earth. More then the sphere. More then, what Joseph Campbell describes:

The Power of Myth With Bill Moyers, by Joseph Campbell , Introduction that Bill Moyers writes,

"Campbell was no pessimist. He believed there is a "point of wisdom beyond the conflicts of illusion and truth by which lives can be put back together again." Finding it is the "prime question of the time." In his final years he was striving for a new synthesis of science and spirit. "The shift from a geocentric to a heliocentric world view," he wrote after the astronauts touched the moon, "seemed to have removed man from the center-and the center seemed so important...

While one can indeed approximate according to the spherical cow, in terms of events in the cosmos, I was being more specific when it comes to demonstrating a geometrical feature of the sphere in terms of the geometry of the Centroid. This feature is embedded in the validation of the sphere in regard to gravity?

Image: NASA/JPL-

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes.

***

It was important to see how such planets form and given their "Mass and densities" which I thought to show how such a valuation could be seen in relation to the variance of gravity so it is understood.

Isostasy (Greek isos = "equal", stásis = "standstill") is a term used in geology to refer to the state of gravitational equilibrium between the earth's lithosphere and asthenosphere such that the tectonic plates "float" at an elevation which depends on their thickness and density. This concept is invoked to explain how different topographic heights can exist at the Earth's surface. When a certain area of lithosphere reaches the state of isostasy, it is said to be in isostatic equilibrium. Isostasy is not a process that upsets equilibrium, but rather one which restores it (a negative feedback). It is generally accepted that the earth is a dynamic system that responds to loads in many different ways, however isostasy provides an important 'view' of the processes that are actually happening. Nevertheless, certain areas (such as the Himalayas) are not in isostatic equilibrium, which has forced researchers to identify other reasons to explain their topographic heights (in the case of the Himalayas, by proposing that their elevation is being "propped-up" by the force of the impacting Indian plate).

In the simplest example, isostasy is the principle of buoyancy observed by Archimedes in his bath, where he saw that when an object was immersed, an amount of water equal in volume to that of the object was displaced. On a geological scale, isostasy can be observed where the Earth's strong lithosphere exerts stress on the weaker asthenosphere which, over geological time flows laterally such that the load of the lithosphere is accommodated by height adjustments.

***

Such strength variances can be attributed to the height with which this measure is taken(time clocks and such) and such a validation in terms of Inverse Square Law goes to help to identify this strength and weakness, according to the nature of the mass and density of the planet.

As one of the fields which obey the general inverse square law, the gravity field can be put in the form shown below, showing that the acceleration of gravity, g, is an expression of the intensity of the gravity field.

See: Hyperphysics-Inverse Square Law-Gravity

***

It is important then such a measure of the energy needed in which to overcome the pull of the earth, then was assigned it's energy value so such calculations are then validated in the escape velocity. There are other ways in which to measure spots in space when holding a bulk view of the reality in regards to gravity concentrations and it locations.

See: Hyperphysics-Gravity-Escape Velocity

***

See Also:

Isostatic Adjustment is Why Planets are Round?

Concepts of the Fifth Dimension

Dealing With a 5D World

Universality Can Lead too, Isostatic Adjustment

Pressure and heat melts protons and neutrons into a new state of matter - the quark gluon plasma.

Quark Gluon Plasma

Now you must know that this entry holds philosophical perspective and is the mandate of Night Light Mining Company to explore the potentials of planetary and geological data gained from scientific analysis to help the society of earth to move farther out into space, and to colonize.

Why are Planets Round?

It is always interesting to see water in space.

Image: NASA/JPL-

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes.

I wanted to explore the philosophical bend first, as it sets the tone for analysis not only of the potentials of planets but of what we can gained from understanding the place of values we can set around ourselves.

Two-dimensional analogy of space–time distortion. Matter changes the geometry of spacetime, this (curved) geometry being interpreted as gravity. White lines do not represent the curvature of space but instead represent the coordinate system imposed on the curved spacetime, which would be rectilinear in a flat spacetime. See: Spacetime

Be it known then, that such universality can exist in principle around this "central core" that such equatorial measures are distinctive and related to the equatorial possibility of Inverse Square Law, that as a mathematical principle, this is brought to bear on how we solidify the substance of the elemental table, that we can say, indeed, that such values can be assigned in "refractive light" to values which are built to become "round in planetary constitution."

The life cycle of a lunar impact and associated time and special scales. The LCROSS measurement methods are “layered” in response to the rapidly evolving impact environment. See: Impact:Lunar CRater Observation Satellite (LCROSS)

It becomes an evolutionary discourse then about what began from universality "in principle" can become such a state as evident in the framework of elemental consideration, that one might say indeed that it is "this constitution" that will signify the relevance to the spacetime fabric and it's settled orbit.

***

See Also:

Isostatic Adjustment is Why Planets are Round?

Centroids

Where Spacetime is flat?

......A Condensative Result exists. Where "energy concentrates" and expresses outward.

I mean if I were to put on my eyeglasses, and these glasses were given to a way of seeing this universe, why not look at the whole universe bathed in such spacetime fabric?

This a opportunity to get "two birds" with one stone?

I was thinking of Garrett's E8 Theory article and Stefan's here.

On March 31, 2006 the high-resolution gravity field model EIGEN-GL04C has been released. This model is a combination of GRACE and LAGEOS mission plus 0.5 x 0.5 degrees gravimetry and altimetry surface data and is complete to degree and order 360 in terms of spherical harmonic coefficients.

High-resolution combination gravity models are essential for all applications where a precise knowledge of the static gravity potential and its gradients is needed in the medium and short wavelength spectrum. Typical examples are precise orbit determination of geodetic and altimeter satellites or the study of the Earth's crust and mantle mass distribution.

But, various geodetic and altimeter applications request also a pure satellite-only gravity model. As an example, the ocean dynamic topography and the derived geostrophic surface currents, both derived from altimeter measurements and an oceanic geoid, would be strongly correlated with the mean sea surface height model used to derive terrestrial gravity data for the combination model.

Therefore, the satellite-only part of EIGEN-GL04C is provided here as EIGEN-GL04S1. The contributing GRACE and Lageos data are already described in the EIGEN-GL04C description. The satellite-only model has been derived from EIGEN-GL04C by reduction of the terrestrial normal equation system and is complete up to degree and order 150.

How many really understand/see the production of gravitational waves in regards to Taylor and Hulse?

To see Stefan's correlation in terms of "wave production" is a dynamical quality to what is still be experimentally looked for by LIGO?

As scientists, do you know this?

6:41 AM, November 11, 2007

See here

Thus the binary pulsar PSR1913+16 provides a powerful test of the predictions of the behavior of time perceived by a distant observer according to Einstein's Theory of Relativity.

Since we know the theory of Relativity is about Gravity, then how is it the applications can be extended to the way we see "anew" in our world?

A sphere, our earth, not so round anymore.

Uncle has tried to correct me on "isostatic adjustment."

Derek Sears, professor of cosmochemistry at the University of Arkansas, explains. See here

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes. K. Shumacker. Scientific America

Do not have time to follow up at this moment.

7:02 AM, November 11, 2007

.....and here.


In context of the post and differences, I may not have pointed to the substance of the post, yet I would have dealt with my problem in seeing.

In general terms, gravitational waves are radiated by objects whose motion involves acceleration, provided that the motion is not perfectly spherically symmetric (like a spinning, expanding or contracting sphere) or cylindrically symmetric (like a spinning disk).

A simple example is the spinning dumbbell. Set upon one end, so that one side of the dumbell is on the ground and the other end is pointing up, the dumbbell will not radiate when it spins around its vertical axis but will radiate if it tumbles end-over-end. The heavier the dumbbell, and the faster it tumbles, the greater is the gravitational radiation it will give off. If we imagine an extreme case in which the two weights of the dumbbell are massive stars like neutron stars or black holes, orbiting each other quickly, then significant amounts of gravitational radiation would be given off.

Given the context of the "whole universe" what is actually pervading, if one did not include gravity?



So singularities are pointing to the beginning(i), yet, we do not know if we should just say, the Big Bang, because, one would had to have calculated the energy used and where did it come from "previous" to manifest?

So some will have this philosophical position about "nothing(?)," and "everything as already existing."

Wherever there are no gravitational waves the space time is flat. One would have to define these two variances. One from understanding the relation to "radiation" and the other "perfectly spherically symmetric."

Isostatic Adjustment is Why Planets are Round?

Conclusion:The state of mind of the observer plays a crucial role in the perception of time.Einstein

See here.

If we thought of the "Colour of Gravity" posted here, what values could you assign any materials that arise from the centre out? Gravity would have it's way with these materials for us to assign them to their unique ordering?

The Power of Myth With Bill Moyers, by Joseph Campbell , Introduction that Bill Moyers writes,

"Campbell was no pessimist. He believed there is a "point of wisdom beyond the conflicts of illusion and truth by which lives can be put back together again." Finding it is the "prime question of the time." In his final years he was striving for a new synthesis of science and spirit. "The shift from a geocentric to a heliocentric world view," he wrote after the astronauts touched the moon, "seemed to have removed man from the center-and the center seemed so important...

That we may say, the minerals on the moon have been assigned their valuation too? I would say it's the colour of gravity that we had assigned all of humanities thoughts and where is man/woman's centre?

Image: NASA/JPL-

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes.

By using Grace here, and the way we look at earth now, we get a better sense of what the actual shape of the earth is. WE had all thought it looked so round from space, that under a "time variable measure" we knew better. We knew that the variations in topographical locations would reveal something unique in relation to gravity. It took Grace to do that

Our work is about comparing the data we collect in the STAR detector with modern calculations, so that we can write down equations on paper that exactly describe how the quark-gluon plasma behaves," says Jerome Lauret from Brookhaven National Laboratory. "One of the most important assumptions we've made is that, for very intense collisions, the quark-gluon plasma behaves according to hydrodynamic calculations in which the matter is like a liquid that flows with no viscosity whatsoever."

See more here

The Moon Clementine-Color ratio image of Aristarchus Crater on the Moon-Clementine color ratio composite image of Aristarchus Crater on the Moon. This 42 km diameter crater is located on the corner of the Aristarchus plateau, at 24 N, 47 W. Ejecta from the plateau is visible as the blue material at the upper left (northwest), while material excavated from the Oceanus Procellarum area is the reddish color to the lower right (southeast). The colors in this image can be used to ascertain compositional properties of the materials making up the deep strata of these two regions. (Clementine, USGS slide 11)

It is not so far fetched for the mind to think of the planet in question, as to it's roundness, or, the moon in relation to how we see those impact craters on it's surface. "The moon" quite revealing in the mineralogical decor for us. So there are two things to consider here.

From the "boundary" of the planet "inward" and from the "centre" of the planet "outward."

Polar Flips

Sometimes it is necessary to see the deep impact a thought could have as we try to understand the implications of a "sphere dropped in a viscously liquid" that we might find another correlation in how we see the photon affected in the gravitational field. Can we grasped the feeling illicitated to say we have some what of a deep impact in remembering to think the strange world of fluids could entertain us?

Stokes' law

In 1851, George Gabriel Stokes derived an expression for the frictional force exerted on spherical objects with very small Reynolds numbers (e.g., very small particles) in a continuous viscous fluid by solving the small fluid-mass limit of the generally unsolvable Navier-Stokes equations:



where:

is the frictional force,
r is the Stokes radius of the particle,
η is the fluid viscosity, and
is the particle's speed.

If the particles are falling in the viscous fluid by their own weight, then a terminal velocity, also known as the settling velocity, is reached when this frictional force combined with the buoyant force exactly balance the gravitational force. The resulting settling velocity is given by:



where:

Vs is the particles' settling velocity (cm/sec) (vertically downwards if ρp > ρf, upwards if ρp < ρf),
r is the Stokes radius of the particle (cm),
g is the standard gravity (cm/sec2),
ρp is the density of the particles (g/cm3),
ρf is the density of the fluid (g/cm3), and
η is the fluid viscosity (dyne sec/cm2).

Why are Planets Round?

Q9:

Would these fluids act differently on the Moon and at (on) different gravities

I was loosing the train of thought within this post, and then the thought occurred me.

Why are planets round. This is a "general question" which leads to how we see the formation of the planets?

"isostatic adjustment"

Start there. We also know what a "sphere of water" looks like in space?

While the sphere was being thought of in regards to Stokes's Theorem, I was also thinking of the earth in relation to how we see gravity in regards to the earth already formed. The vicissitude, in which the earth exists within the cosmos. The moon.

The rotating superfluid gas of fermions is pierced with the vortices, which are like mini-tornadoes. Image / Andre Schirotzek, MIT

Bose-Einstein condensation of pairs of fermions that were bound together loosely as molecules was observed in November 2003 by independent teams at the University of Colorado at Boulder, the University of Innsbruck in Austria and at MIT. However, observing Bose-Einstein condensation is not the same as observing superfluidity. Further studies were done by these groups and at the Ecole Normale Superieure in Paris, Duke University and Rice University, but evidence for superfluidity was ambiguous or indirect.

The superfluid Fermi gas created at MIT can also serve as an easily controllable model system to study properties of much denser forms of fermionic matter such as solid superconductors, neutron stars or the quark-gluon plasma that existed in the early universe.

There is a special class of fluids that are called superfluids. Superfluids have the property that they can flow through narrow channels without viscosity. However, more fundamental than the absence of dissipation is the behavior of superfluids under rotation. In contrast to the example of a glass of water above, the rotation in superfluids is always inhomogeneous (figure). The fluid circulates around quantized vortex lines. The vortex lines are shown as yellow in the figure, and the circulating flow around them is indicated by arrows. There is no vorticity outside of the lines because the velocity near each line is larger than further away. (In mathematical terms curl v = 0, where v(r) is the velocity field.)

See here for more on Attributes of Superfluids

It is very possible that the information is inundating my thinking here yet without considering the context of the super fluid what requirements would fit the idea that earth is relevant when it comes to the molten core? Or how you see the magnetic field shifting in relation to the poles?

Thus, water is "thin", having a lower viscosity, while vegetable oil is "thick" having a higher viscosity. All real fluids (except superfluids) have some resistance to shear stress, but a fluid which has no resistance to shear stress is known as an ideal fluid or inviscid fluid (Symon 1971).

I am quickly posting this and will have more to add. I wanted to speak directly to the idea of the super fluid. How the "irrotational value of the perfect fluid as a whole," could have it's leakages to the surface of the earth, as small vortices created.

This computer simulation shows the Earth's interior as its magnetic field reverses, perhaps because of changes in the flow of molten iron in the core. Deep inside the Earth, the magnetic field arises as the fluid core oozes with hot currents of molten iron and this mechanical energy gets converted into electromagnetism. It is known as the geodynamo. In a car's generator, the same principle turns mechanical energy into electricity.

No one knows precisely why the field periodically reverses, but scientists say the responsibility probably lies with changes in the turbulent flows of molten iron, which they envision as similar to the churning gases that make up the clouds of Jupiter.

In theory, a reversal could have major effects because over the ages many aspects of nature and society have come to rely on the field's steadiness.

Quasar posted a comment there that immediately made me think what the topic could mean in relation to the post he was commenting on. I thought of the earth's core as the subject was related, and thought how nice it would be to have such a "cylindrical channel that goes from pole to pole?"

Well the viscosity of the fluid as it traverses this cylinder would give some nature to the charge as it passes through? I do not think it could be that simple, if we thought the iron molten as the viscosity had a direct relation to what we know of our magnetic field? We know the earth core is not so cylindrical, that we could the attribute of the superfluid in this case while looking at the iron molten lava

So is it the iron in particular that gives us our strength based on it's fluid's nature?

These changes in Earth’s magnetic fields from 1980 to 2000 may be harbingers of a shift in the magnetic poles

Plato's Nightlight Mining Company is claiming Aristarchus Crater and Surrounding Region

So what is the legality of claiming land on the moon?

What regions would you like to claim if you had the opportunity to make such a claim? Imagine  Covered Wagons racing now as spaceships. Racing, to plant their posts too include, so many acres of land.

When the Bugle Sounded:

Stampede for Oklahoma's Unassigned Lands

***

Hubble Reveals Potential Titanium Oxide Deposits at Aristarchus and Schroter's Valley Rille

As a photocatalyst

Titanium dioxide, particularly in the anatase form, is a photocatalyst under ultraviolet light. Recently it has been found that titanium dioxide, when spiked with nitrogen ions, or doped with metal oxide like tungsten trioxide, is also a photocatalyst under visible and UV light. The strong oxidative potential of the positive holes oxidizes water to create hydroxyl radicals. It can also oxidize oxygen or organic materials directly. Titanium dioxide is thus added to paints, cements, windows, tiles, or other products for sterilizing, deodorizing and anti-fouling properties and is also used as a hydrolysis catalyst. It is also used in the Graetzel cell, a type of chemical solar cell.
The photocatalytic properties of titanium dioxide were discovered by Akira Fujishima in 1967^[15] and published in 1972.^[16] The process on the surface of the titanium dioxide was called the Honda-Fujishima effect.^[15] Titanium dioxide has potential for use in energy production: as a photocatalyst, it can

• carry out hydrolysis; i.e., break water into hydrogen and oxygen. Were the hydrogen collected, it could be used as a fuel. The efficiency of this process can be greatly improved by doping the oxide with carbon.^[17].
• Titanium dioxide can also produce electricity when in nanoparticle form. Research suggests that by using these nanoparticles to form the pixels of a screen, they generate electricity when transparent and under the influence of light. If subjected to electricity on the other hand, the nanoparticles blacken, forming the basic characteristics of a LCD screen. According to creator Zoran Radivojevic, Nokia has already built a functional 200-by-200-pixel monochromatic screen which is energetically self-sufficient.

In 1995 Fujishima and his group discovered the superhydrophilicity phenomenon for titanium dioxide coated glass exposed to sun light.^[15] This resulted in the development of self-cleaning glass and anti-fogging coatings.
TiO₂ incorporated into outdoor building materials, such as paving stones in noxer blocks or paints, can substantially reduce concentrations of airborne pollutants such as volatile organic compounds and nitrogen oxides.^[18]
A photocatalytic cement that uses titanium dioxide as a primary component, produced by Italcementi Group, was included in Time's Top 50 Inventions of 2008.^[19]

[edit] For wastewater remediation

TiO₂ offers great potential as an industrial technology for detoxification or remediation of wastewater due to several factors.

1. 
   
   
   
   

   The process occurs under ambient conditions very slowly, direct UV light exposure increases the rate of reaction.

   
   
   
2. 
   
   
   
   

   The formation of photocyclized intermediate products, unlike direct photolysis

   techniques, is avoided.
   
   
3. 
   
   
   
   

   Oxidation of the substrates to CO₂ is complete.

   
   
   
4. 
   
   
   
   

   The photocatalyst is inexpensive and has a high turnover.

   
   
   
5. 
   
   
   
   

   TiO₂ can be supported on suitable reactor substrates.

   
   
   

***

The lunar south pole as it will appear on the night of impact. Photo Credit - NMSU / MSFC Tortugas Observatory

The impact site is crater Cabeus near the Moon's south pole. NASA is guiding the Lunar Crater Observation and Sensing Satellite ("LCROSS" for short) and its Centaur booster rocket into the crater's floor for a spectacular double-impact designed to "unearth" signs of lunar water. See:LCROSS Viewer's Guide

Image Above: The dark blue and purple areas at the moons poles indicate neutron emissions that are consistent with hydrogen-rich deposits covered by desiccated regolith. These hydrogen signatures are possible indications of water in the form of ice or hydrated minerals. Feldman et al., Science, 281, 1496, 1998. Click image to enlarge Credit: NASA

Just like on Earth, water will be a crucial resource on the moon. Transporting water and other goods from Earth to the moon’s surface is expensive. Finding natural resources, such as water ice, on the moon could help expedite lunar exploration. The LCROSS mission will search for water, using information learned from the Clementine and Lunar Prospector missions.

By going to the moon for extended periods of time, a new generation of explorers will learn how to work safely in a harsh environment. A lunar outpost is a stepping stone to future exploration of other bodies in our solar system. The moon also offers many clues about when the planets were formed.

See:Backreaction: Free Falling

See Also:

Dialogos of Eide: Hubble Reveals Potential Titanium Oxide Deposits ...

Jun 06, 2009

 

Dialogos of Eide: Universality Can Lead too, Isostatic Adjustment

Oct 12, 2009

 

messenger reveals mercury's geological history

Jan 18, 2008

 

isostatic adjustment is why planets are round?

Mar 12, 2007

 

Centroids

Conclusion:The state of mind of the observer plays a crucial role in the perception of time.Einstein

It is often I consider the Center of Gravity(Mass) as an illustration of the perspective that exists "around and within us" as a product of the natural world. We are limited by our own knowledge, yet when given, and lead to observation of what is natural in our world, we see where we had not seen before.

\bar z = \frac{\int z dm}{m}The center of gravity (or mass), abbreviated as COM, of any object is that point within the object upon which gravity (or any body force) acts, regardless of the orientation of the object. The COM of an object may be calculated by using the principle of equilibrium.

First off you must know that I work according to a set of principles that were discovered after a time through "subjective reflection" on the nature of mind and how it works. Of course I am no expert here, but the principles themself are realizable as an active function in the recognition of how one might interpret the world.

\bar y = \frac{\int y \rho dV}{\int \rho dV}In the event that the density ρ of an object is not uniform throughout, the calculation of COM may be done by a similar set of equations involving the addition of density to the analysis.

It is by taking one to recognisance of the title of this blog entry that I wanted to discuss the "subjective part" and the understanding of the "mathematical construct" that one, in my opinion exists. Just as we progress to understand the natural world around us, I believe these are synonymous with each other.

\bar Y = \frac{\sum m \bar y}{\sum m}If a body is made up of multiple sections, each of which has a unique mass, the method for evaluating the centroid of that body is to evaluate the composite body by finite element analysis of each of the sections through the use of moment balancing, as above.

Liminocentric structures



You can find much on this site in regards to this issue, and I now relate centroid for consideration in the case of this topic. I presented it at the Backreaction site today to show an advancement in the thinking as we move to incorporate the knowledge. As we come to understand the natural world around us.

Giving earth a new understanding in terms of its densities and it's relation to the gravitational contribution, it has in our new views of the globe, helped me learn and understand the feature of gravity as it extends to the cosmos.

I have taken it a step further as many of you know to include the emotive states as valued physiological relations to what manifests in the immediate environs of the body home. While this is a far cry from the understanding of gravitational research it was inevitable for me to see an extension of how one can topological relate to the world, in this inductive/deductive mode to reason.

While living on this earth, we always come home for reflection, and if any have not taken stock of what has accumulated during the day, then it is inevitable that is will come to reside very close to home as one sleeps through the nocturnality night. This research of subjectivity and mind had to entail "all of our activities." It had to include an understanding of the "mathematical constructs" that we observe, in order to relate to nature.

List of Centroids

Shape	Figure			Area
Triangular area
Quarter-circular area
Semicircular area
Quarter-elliptical area
Semielliptical area	The area inside the ellipse and above the axis
Semiparabolic area	The area between the curve and the axis, from to
Parabolic area	The area between the curve and the line
Parabolic spandrel	The area between the curve and the axis, from to
General spandrel	The area between the curve and the axis, from to
Circular sector	The area between the curve (in polar coordinates) and the pole, from to
Quarter-circular arc	The points on the circle and in the first quadrant
Semicircular arc	The points on the circle and above the axis
Arc of circle	The points on the curve (in polar coordinates) , from to

Why are Planets Round?

It is always interesting to see water in space.

Image: NASA/JPL-

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes.

See:Isostatic Adjustment is Why Planets are Round?