April 9, 2015

Migrating hot jupiter as a model for non-coalescing black holes, and for always disjoint manifolds? Model for mathematical conjecture?

Filed under: Letters from Ionia — Tags: , , — zankaon @ 3:20 pm

Could hot jupiter`s inward migration to current assumed stable orbit serve as a model for possibility of coalescing compact objects, such as neutron stars and black holes?

Assuming a past 2-body interaction of gas giants, resulting in an additional vectorial component for subsequent inward spiraling hot jupiter; why would such inward spiraling cease?

Might it result from spin orbital dynamics, respectively for star and planet?  That is, might such hot Jupiter not ony be in tidal locking, but also circularized it’s orbit, due to angular momentum transfer? So not related to just curvature. How would such model differ from inward spiraling compact objects, and simulations thereof? Hence another model, and rationalization, for no coalescense of compact objects?

Since orbital velocity of earth is ~30 km/s, what would the orbital  velocity of a hot jupiter be? For conservation of angular momentum, with decrease in moment of inertia, would angular velocity be quite high? Would inward migration of hot jupiter be gradual; hence favoring settling into a stable circular orbit for billions of years? Might distant orbits, like for Proxima centuari, also only be possible if there is gradual settling into such extremely far out non-gravitational circular orbits i.e. angular inertia, from angular momentum transfer?

Would orbital velocity of hot jupiter be much increased, consistent with reduced moment of inertia, and angular momentum conservation? If not, would this be be evidence for, and consistent with, an ejected third body, and it`s contribution to changes in observed angular momentum components?

Might one consider such inward spiraling as approximation of equiangular spiral? Then use rectification of spiral to get distance along such inward spiral path; that is the distance from original orbital distance (of cold jupiter) to rectilinear axis passing through it`s star. If one then assumes the orbital velocity remained reasonable, with any change of a gradual nature, then the duration for such hot jupiter to arrive could seemingly be estimated – less than 500 million years?

Would such hot jupiter scenario seem more likely than coalescence of mass, in principle as well as for simulations? Likewise then for consideration of merging of other massive objects, such as for NS-NS stars or BH-NS merging for GRB origin, or for hot Jupiter and associated star?

That is, does nature have a problem with such massive merger models; perhaps related to angular momentum transfer?

Is this in turn related to larger theme that manifolds act as though they want to be left alone; perhaps they can not change. That is, disjoint, then aways disjoint; and if intersecting, then always intersecting; also resistance to deformation; hence, for the former, no new manifold formation? Consistent with mathematical conjecture: manifolds are neither created nor destroyed?

So might a hot jupiter migratory model, and assumed current stable circular orbit (and perhaps tidal locking) serve as an example of what might happen for black holes, or neutron star binaries, attempting to coalesce, as well as also representative of manifold behavior in general?   TMM

Rectification of equiangular spiral.


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