On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation

Dragnev, Dragomir

Serdica Mathematical Journal (1997)

  • Volume: 23, Issue: 2, page 125-130
  • ISSN: 1310-6600

Abstract

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* Partialy supported by contract MM 523/95 with Ministry of Science and Technologies of Republic of Bulgaria.For the system describing the motion of a moss point under the action of two static gravity centers (with equal masses), we find a subset of the set of the regular values of the energy and momentum, where the condition of isoenergetical non-degeneracy is fulfilled.

How to cite

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Dragnev, Dragomir. "On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation." Serdica Mathematical Journal 23.2 (1997): 125-130. <http://eudml.org/doc/11607>.

@article{Dragnev1997,
abstract = {* Partialy supported by contract MM 523/95 with Ministry of Science and Technologies of Republic of Bulgaria.For the system describing the motion of a moss point under the action of two static gravity centers (with equal masses), we find a subset of the set of the regular values of the energy and momentum, where the condition of isoenergetical non-degeneracy is fulfilled.},
author = {Dragnev, Dragomir},
journal = {Serdica Mathematical Journal},
keywords = {Two Centers of Gravitation; Isoenergetical Non-Degeneracy; three-body problem; two static gravity centers; energy-momentum space; condition for isoenergetical nondegeneracy; KAM theory},
language = {eng},
number = {2},
pages = {125-130},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation},
url = {http://eudml.org/doc/11607},
volume = {23},
year = {1997},
}

TY - JOUR
AU - Dragnev, Dragomir
TI - On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 2
SP - 125
EP - 130
AB - * Partialy supported by contract MM 523/95 with Ministry of Science and Technologies of Republic of Bulgaria.For the system describing the motion of a moss point under the action of two static gravity centers (with equal masses), we find a subset of the set of the regular values of the energy and momentum, where the condition of isoenergetical non-degeneracy is fulfilled.
LA - eng
KW - Two Centers of Gravitation; Isoenergetical Non-Degeneracy; three-body problem; two static gravity centers; energy-momentum space; condition for isoenergetical nondegeneracy; KAM theory
UR - http://eudml.org/doc/11607
ER -

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