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#1 |
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User
Join Date: Oct 2013
Location: Florida/Penna
Posts: 898
Thanks: 893
Thanked 514 Times in 276 Posts
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Abstract
Based on a recent paper by Rothe and Schäfer on compact binary systems (Rothe and Schäfer 2010 J. Math. Phys. 51 082501), explicit expressions for canonical center and relative coordinates in terms of standard canonical coordinates are derived for spinless objects up to second post-Newtonian (PN) approximation of Einstein's theory of gravity (the third post-Newtonian order expressions are available in the form of supplementary data). The inverse relations, i.e. the dependence of the standard canonical coordinates on the canonical center and relative coordinates, are also given up to the second PN approximation. The famous Pythagorean-theorem-type Lorentz-invariant relation between the system's total energy or Hamiltonian squared, the rest energy or mass squared—solely depending on relative coordinates—and the total linear momentum squared, are explicitly shown through second PN approximation. |
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#2 | |
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Join Date: Apr 2015
Location: near Charlotte NC
Posts: 4,681
Thanks: 1,443
Thanked 4,356 Times in 2,041 Posts
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Quote:
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03man(Don Voigt); Luger student and collector. Looking for DWM side plate: 69 ; Dreyse 1907 pistol K.S. Gendarmerie |
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#3 |
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Twice a Lifer
Lifetime Forum Patron Join Date: Mar 2011
Location: Atop the highest hill in Schuyler County NY
Posts: 3,409
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Somebody got ahold of the Turboencabulator Report!
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"... Liberty is the seed and soil, the air and light, the dew and rain of progress, love and joy."-- Robert Greene Ingersoll 1894 |
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#4 |
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Join Date: Feb 2013
Location: Merritt Island, Fl
Posts: 952
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#5 |
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Join Date: Sep 2007
Posts: 1,225
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Thanked 930 Times in 509 Posts
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That's a Canardly-Shute prototype night sight for a Matilda tank.
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#6 |
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User
Join Date: Jun 2008
Location: Southern Maine
Posts: 459
Thanks: 3,964
Thanked 103 Times in 83 Posts
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Being an old Submariner the only periscope this could be part of was the one on Jules Vernes Nautilus. Jus sayin
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