Additional remark to ?Another regularization of the Kepler problem?

1978 ◽  
Vol 18 (3) ◽  
pp. 257-258 ◽  
Author(s):  
J. Stickforth
Keyword(s):  
Kepler Problem ◽  
Additional Remark

The Absurd Injunction to Not Belong and the Bidūn in Kuwait

2020 ◽  
Vol 52 (4) ◽  
pp. 726-732
Author(s):  
Claire Beaugrand
Keyword(s):  
Mobile Phone ◽  
Legal Status ◽  
Personal Data ◽  
Male Voice ◽  
Central System ◽  
Additional Remark ◽  
Special Mention ◽  
The Voice ◽  
Mobile Phone Camera

In a tweet posted on 29 March 2018, a bidūn activist—who was later jailed from July 2019 to January 2020 for peacefully protesting against the inhumane conditions under which the bidūn are living—shared a video. The brief video zooms in closely on an ID card, recognizable as one of those issued to the bidūn, or long-term residents of Kuwait who are in contention with the state regarding their legal status. More precisely, the mobile phone camera focuses on the back of the ID card, on one line with a special mention added by the Central System (al-jihāz al-markazī), the administration in charge of bidūn affairs. Other magnetic strip cards hide the personal data written above and below it. A male voice can be heard saying that he will read this additional remark, but before even doing so he bursts into laughter. The faceless voice goes on to read out the label in an unrestrained laugh: “ladayh qarīb … ladayh qarīna … dālla ʿalā al-jinsiyya al-ʿIrāqiyya” (he has a relative … who has presumptive evidence … suggesting an Iraqi nationality). The video shakes as the result of a contagious laugh that grows in intensity. In the Kuwaiti dialect, the voice continues commenting: “Uqsim bil-Allāh, gaʿadt sāʿa ufakkir shinū maʿanāt hal-ḥatchī” (I swear by God, it took me an hour to figure out the meaning of this nonsense), before reading the sentence again, stopping and guffawing, and asking if he should “repeat it a third time,” expressing amazement at its absurdity. The tweet, addressed to the head of the Central System (mentioned in the hashtag #faḍīḥat Sāliḥ al-Faḍāla, or #scandal Salih al-Fadala), reads: In lam tastaḥī fa-'ktub mā shaʾt (Don't bother, write what you want).

The Higgs algebra and the Kepler problem inR3

2000 ◽  
Vol 33 (22) ◽  
pp. 4073-4079 ◽  
Author(s):  
V V Gritsev ◽  
Yu A Kurochkin
Keyword(s):  
Kepler Problem ◽  
Higgs Algebra

Remarks on the geometric quantization of the Kepler problem

1988 ◽  
Vol 16 (3) ◽  
pp. 189-197 ◽  
Author(s):  
Giuseppe Gaeta ◽  
Mauro Spera
Keyword(s):  
Kepler Problem ◽  
Geometric Quantization

scholarly journals Regularized variational principles for the perturbed Kepler problem

2021 ◽  
Vol 383 ◽  
pp. 107694
Author(s):  
Vivina Barutello ◽  
Rafael Ortega ◽  
Gianmaria Verzini
Keyword(s):  
Variational Principles ◽  
Kepler Problem ◽  
Perturbed Kepler Problem

GLOBAL BEHAVIOR OF THE CHARGED ISOSCELES THREE-BODY PROBLEM

1994 ◽  
Vol 04 (04) ◽  
pp. 865-884 ◽  
Author(s):  
PAU ATELA ◽  
ROBERT I. McLACHLAN
Keyword(s):  
Bifurcation Diagram ◽  
Periodic Orbits ◽  
Body Problem ◽  
Kepler Problem ◽  
Global Bifurcation ◽  
Three Body Problem ◽  
Anisotropic Kepler Problem ◽  
The One ◽  
Three Body ◽  
Limiting Value

We study the global bifurcation diagram of the two-parameter family of ODE’s that govern the charged isosceles three-body problem. (The classic isosceles three-body problem and the anisotropic Kepler problem (two bodies) are included in the same family.) There are two major sources of periodic orbits. On the one hand the “Kepler” orbit, a stable orbit exhibiting the generic bifurcations as the multiplier crosses rational values. This orbit turns out to be the continuation of the classical circular Kepler orbit. On the other extreme we have the collision-ejection orbit which exhibits an “infinite-furcation.” Up to a limiting value of the parameter we have finitely many periodic orbits (for each fixed numerator in the rotation number), passed this value there is a sudden birth of an infinite number of them. We find that these two bifurcations are remarkably connected forming the main “skeleton” of the global bifurcation diagram. We conjecture that this type of global connection must be present in related problems such as the classic isosceles three-body problem and the anisotropic Kepler problem.

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