July 20, 2017

Earth as a solid sphere rotation, with no contribution to conservation of angular momentum from interior? Angular momentum exchange for closed systems. Angular inertia for Oort cloud, and even for our galaxie?

Filed under: Letters from Ionia — Tags: , , — zankaon @ 3:39 pm

Since the Moon is still receding, then an increasing moment of inertia mr^2, and lesser angular orbital velocity. And for earth, an associated slowing angular velocity, and hence in angular momentum; with concomitant momentum exchange with Moon. So can one consider not only conservation of angular momentum, but also angular momentum exchange, for variously considered closed systems?

For a closed system, one can have exchange of angular momentum. Did the solid earth core form comparatively early, by ~100 million years? If so, then there would be a shift (decrease) of mr^2 moment of inertia i.e. mass re-distribution to a lesser radius. Would this then account for a compensatory increase in moment of inertia (i.e. increase in orbit radius) for the moon? Might the moon`s present increase in orbit radius, in part be due to an increase in momentum of inertia, somewhat (?) relating to solidifying inner core, and/or ongoing transfer of momentum, from associated slowing of earth’s rotation?

Might even the Moon not be gravitationally bound; rather does the Moon’s essentially circular orbit just reflect it’s angular inertia, from such angular momentum transfer? Not unlike our artificial satelites?

What is the gravitational potential, and calculated Ricci tensor (i.e. curvature) magnitude at Moon’s radial distance?

For early on, did one also have some increase in angular velocity for earth, consistent with core formation and conservation of angular momentum for earth? Was there also any significant angular momentum transfer to the sun (similar for Mercury, Venus?), associated with such decrease in angular momentum for earth?

Also might there be adjustments to our system’s planets due to transfer of angular momentum between planets and other objects, involving spin (rotation rate) and orbit angular momentum transfer? Hence rationalization for a broader perspective (i.e. entanglement) of past and ongoing angular momentum re-distribution for our solar system, inclusive also of KBO objects, Oort cloud, any ejected planets or nacent cores, and even for neutrino belt formation?

For example, did Oort cloud objects form closer in, and then via angular momentum exchange with KBO objects, recide i.e. increasing momentum of inertia? Might this be consistent with slower rotation for large KBO objects such as Pluto, Sedna (?)  etc. i.e. spin orbital angular momentum transfer?

Also rather than a spherical symmetrical Oort cloud, might such distribution of objects be closer to solar plane, even if not gravitationally bound? Might there also be a relevent analogy to suggested galaxie spiral arm formation? That is, via angular momentum transfer, and alleged resultant angular inertia, might one have (nascent?) formation of spiral arms for Oort cloud? Probably not infrared visible, due to distant infrared confluence effect?

Would gravitational field (calculated?) be insufficient to account for circular (?) orbiting of Oort cloud objects? Thus is transfer of angular momentum not only involved with migration of KBO objects outward, but also essentially alone is such angular momentum transfer responsible for circular orbital motion of Oort cloud objects? Likewise for surmised circular orbit of neutrino belt?

Such orbital motion, in absence of gravitational field, and hence no central force, would not follow Kepler`s Laws. Thus such considered circular orbital motion would have invariant magnitude – hence the designation of such motion as angular inertia. That is, the angular velocity axial vector ω=v_t/r , remains invariant; in contrast to an eliptical locus of positions.

So does angular inertia alone describe such objects in circular orbit? Hence obviating tapering gravitational potential model? Also then would the outer extent of our solar system (and all stellar systems?) seem to be defined by angular inertia (from angular momentum transfer) in a flat 3-space, and not by curvature i.e. gravitation? Also see tapering gravitation potential model vignettes for further discussion.

Rheologically, the earth seems quiet in regards to differential rotational motion? Such as for core – mantle interface, wherein deep plumes seem to be fixed. Also the solid core has perhaps just slight rotation. The asthenosphere (upper mantle) apparently has some flow; always in step with lithospheric plate motion? Still insufficient to contribute to any decrease in angular velocity and momentum? Thus must one consider other possible contributions to angular momentum, and momentum exchange, if earth is considered as essentially a solid rotating sphere?

Might there have been more than one planetesimal collisions with proto-earth? However might there not be any isotope compositional differences, since all such objects in close orbits, and hence a shared solar nebula environment?

Mercury has a strong magnetic field, and hence fluid interior. Yet Mercury has essentially no precession. Might this be consistent with no planetesimal collision, contributing to any hypothetical precession?

While for earth, precession of the equinoxes, and resultant changing polar star, gives only one periodicity i.e. one frequency. This would seem consistent with only one collision, with resultant external torque changing the angular momentum vector. Whereas multiple planetesimal collisions with earth would seem to give multiple periodicities.

Since earth`s rotation is slowing down currently, then consistent with angular momentum exchange with the moon; and also with the sun to lesser extent? That is, also increasing angular velocity, and hence angular momentum of our star?

Might any preferential angular momentum transfer for 2-body vs 3-body be modeled as a Venn diagram, with 2-body entanglement considered in context of a larger 3-body entanglement scenario, with an inner sub-system depiction having preference i.e. starting from simpler smaller closed sub-system consideration? So is angular momentum transfer not based on distance, but rather on simplicity of sub-system vs concomitant larger system?

For example, since earth and moon revolve about a center of mass (near to inner core boundary?), might any slowing of such motion result in a transfer of angular momentum from such 2-body sub-system to an overall concomitant 3-body system?

Analogously, if one has observed parallax for the sun, then this would be consistent with our sun revolving about a center of mass for a binary system, such as also inclusive of a nearby red dwarf. Then any change in such tight close in sun’s orbital motion, or in it’s spin rate, could result in angular momentum transfer, wherein the moment of inertia of such red dwarf could change i.e. becoming further distant, for such closed binary system. Such red dwarf could still be bound to solar system via angular inertia, and hence circular orbit, even if gravitational potential is negligible; hence such binary red dwarf would be bound, but not gravitationally. Also could one have tidal locking for such dwarf star?

Likewise might Proxima centauri’s extremely large radius circular (?) orbit, as part of a triple system, be non-gravitationally bound? That is via angular momentum transfer, might such Proxima centauri be bound in it’s triple system just by angular inertia?

Also if tidal locking is possible for a dwarf star, then might Proxima centuari be in tidal locking; not just for photosphere outer surface gaseous layer, but also for internal layers with differential rotation?

Assuming earlier faster rotation, one would seem to have momentum transfer for Mercury, which is in 3:2 resonance with the sun i.e. 2 rotations per 3 orbits; and also for Venus, with tidal lock i.e. one rotation per revolution.

Might hot Jupiter, although supposedly in long duration stable orbit close to it’s star, still have further dynamics? That is, might there have also been transfer of angular momentum from hot Jupiter to it’s star? Thus has the rotation rate (angular velocity) of a hot Jupiter slowed down, with consequential increased angular velocity and momentum of it’s star? Hence might one predict tidal locking (one rotation per revolution) for such hot Jupiter?

Also might the orbit of such hot jupiter be circular; the latter consistent with just angular inertia accounting for orbit binding? Might the apparent long term stability of such close in hot jupiter’s orbit suggest a role for orbit/spin angular momentum transfer, and resultant final circularizing of orbit, denoted as angular inertia; together with tidal locking – both stabilizing boundedness for such hot jupiter’s orbit? Might tidal locking lessen any wobbling tendency, and prevent any possible chaotic orbitng?

So might tidal locking, as well as circularizing orbits, be considered as manifestation of such angular momentum transfer, and in fact end points for such angular momentum exchange and resultant stable angular inertia?

Thus although such exo-planet orbits might be considered as long term gravitationally stable, still in terms of angular momentum, might such exosystems be considered as active as our solar system, in regards to angular momentum exchange in essentially closed systems?

Might such scenario of angular momentum exchange for closed 2 body (and more) systems be considered as examples of entanglement, wherein the system as a whole has to be considered in order to fully explain observations? So attention to conservation of angular momentum, as well as exchange of angular momentum can be considered in concomitant descriptions.

Thus is our solar system still very active, in sense of angular momentum transfer, such as for any ongoing Oort cloud formation from outward migrating KBO objects, associated with decreased spin (rotation) for larger KBO objects? Likewise for any distant orbiting neutrino belt? Based on angular inertia concept, would one expect a circular orbit for both Oort cloud objects, and for neutrino belt?

Then would the outer extent of our solar (stellar) system not seem to be described by gravitationally bound Oort cloud objects, nor by gravitationally bound neutrino belt, but rather by angular inertia of such circular orbiting objects in a flat 3-space; the latter part of inter-stellar flat 3-space? Not unlike for Proxima centauri’s circular orbit, a non-gravitationally bound object, as denoted by angular inertia?

Nevertheless, Pluto (slow (?) rotating KBO object) has an elliptical orbit, consistent with Keplers laws and central force; hence a Newtonian description would still seem valid in flat 3-space, far out for our stellar system.

If our Sun revolve in our galaxy over ~240 Myrs, and reside at a radius of ~26-30 klyrs, what is the gravitational potential at Sun’s radial distance from center of galaxy? One might assume Newton’s 2nd Theorem, and consider all of galaxie’s luminous and Dark matter (?) as a central point mass. Then might one consider a scenario wherein such potential is negligible at Sun’s distance?

Alternatively, might the Sun’s circular (?) revolution (tracing spiral mass?) about our galaxie be described as angular inertia, resulting perhaps from angular momentum transfer within our galaxie? Also once such spiral mass is set in angular inertia, then no necessity for further maintenance of such spiral motion. So is our galaxie not a gravitationally bound object?

Might then the angular inertia concept apply to physical massive galactic spiral arm(s); once (if?) set in slow motion, continuing such angular inertia? Wherein most stars are formed in such density wave arm; while do others slowly enter or leave such density wave arms? Might differential rotation (for different galactic radii) result in overall more static-like spiral pattern; without any necessity of angular momentum transfer?

In contrast, is gravitational potential, and/or Newtonian descripion, just for solar system scale? However does apparrent gravitational lensing, Einstein cross of multiple images of one quasar, dwarf galaxies’ (motion?) and Magellanic streaming for our Local Group – all suggest cluster scale gravitational effect? As an alternative, might interaction, such as reverberation, of light with matter, result in multiple images of an object? Such as ‘sun dogs’ images from ice crystal reflection?

Might angular momentum transfer, if originating from bar and/or bulge, and/or angular inertia of massive spiral densities, play a greater role than realized for our galaxie’s ‘dynamics’ ; describing our galaxie as not a gravitationally bound entity? 

Might simulations of galaxie rotation curves indicate no necessity of dark matter (1) ; consistent with not gravitationally bound? Hence consistent with dark matter, critical density, and gravitation not of importance in re-contraction of ‘universe’ scenario?

Also might not only influx through magnetic pole (and any associated jetting) affect stability and binary compact object coalescence, but also might any ongoing transfer of spin/orbit angular momentum retard or prevent coalescence of compact binary objects?

For example, might one have resultant circularizing of such binary orbiting, and even tidal locking (?); hence stabilizing such orbiting – not unlike apparent stabilized hot jupiter orbit? Might any tidal locking reduce any wobbling tendency, and possible chaotic orbiting; hence contributing to stabilizing circular orbiting?

So does angular momentum transfer, and angular inertia, play a larger role than recognized, as in various above considered examples of closed systems?

also see zankaon site, Modified black hole page, Entanglement and Coalescense sections.

(1) Declining rotation curves at z=2: A natural phenomenon in ΛCDM cosmology.   Adelheid F. Teklu, Rhea-Silvia Remus, Klaus Dolag, Alexander Arth, Andreas Burkert, Aura Obreja, Felix Schulze.


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