LugerForum Discussion Forums my profile | register | faq | search
upload photo | donate | calendar

Go Back   LugerForum Discussion Forums > General Discussion Forums > General Discussions

Reply
 
Thread Tools Display Modes
Unread 01-30-2017, 07:38 AM   #1
hayhugh
User
 
hayhugh's Avatar
 
Join Date: Oct 2013
Location: Florida/Penna
Posts: 898
Thanks: 893
Thanked 514 Times in 276 Posts
Default

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.
hayhugh is offline   Reply With Quote
The following member says Thank You to hayhugh for your post:
Unread 01-30-2017, 10:25 AM   #2
DonVoigt
User
 
DonVoigt's Avatar
 
Join Date: Apr 2015
Location: near Charlotte NC
Posts: 4,681
Thanks: 1,443
Thanked 4,356 Times in 2,041 Posts
Default

Quote:
Originally Posted by hayhugh View Post
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.
That's what I thought too.
__________________
03man(Don Voigt); Luger student and collector.
Looking for DWM side plate: 69 ; Dreyse 1907 pistol K.S. Gendarmerie
DonVoigt is offline   Reply With Quote
Unread 01-30-2017, 10:44 AM   #3
ithacaartist
Twice a Lifer
Lifetime Forum
Patron
 
ithacaartist's Avatar
 
Join Date: Mar 2011
Location: Atop the highest hill in Schuyler County NY
Posts: 3,409
Thanks: 7,583
Thanked 2,657 Times in 1,398 Posts
Default

Quote:
Originally Posted by hayhugh View Post
Abstract
Based on a recent paper by Rothe and Schäfer ...
Somebody got ahold of the Turboencabulator Report!
__________________
"... Liberty is the seed and soil, the air and light, the dew and rain of progress, love and joy."-- Robert Greene Ingersoll 1894
ithacaartist is offline   Reply With Quote
Unread 01-30-2017, 02:50 PM   #4
Zorba
User
 
Zorba's Avatar
 
Join Date: Feb 2013
Location: Merritt Island, Fl
Posts: 952
Thanks: 777
Thanked 528 Times in 290 Posts
Default

Quote:
Originally Posted by ithacaartist View Post
Somebody got ahold of the Turboencabulator Report!
I thought that was classified...
Zorba is offline   Reply With Quote
Unread 01-31-2017, 04:21 PM   #5
kurusu
User
 
Join Date: Sep 2007
Posts: 1,225
Thanks: 2,679
Thanked 930 Times in 509 Posts
Default

That's a Canardly-Shute prototype night sight for a Matilda tank.
kurusu is offline   Reply With Quote
Unread 01-31-2017, 06:07 PM   #6
pitsword
User
 
Join Date: Jun 2008
Location: Southern Maine
Posts: 459
Thanks: 3,964
Thanked 103 Times in 83 Posts
Default

Being an old Submariner the only periscope this could be part of was the one on Jules Vernes Nautilus. Jus sayin
pitsword is offline   Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump


All times are GMT -4. The time now is 12:28 PM.


Powered by vBulletin® Version 3.8.4
Copyright ©2000 - 2026, Jelsoft Enterprises Ltd.
Copyright © 1998 - 2026, Lugerforum.com