9 Citations (Scopus)

Abstract

The method of obtaining the estimates of the maximal t-interval (ω-, ω+) on which the solution of the N-body problem exists and which is such that some fixed mutual distance (e. g. Δ12) exceeds some fixed non-negative lower bound, for all t contained in (ω-, ω+), is considered. For given masses and initial data, the increasing sequences of the numbers γk, each of which provides the estimate ω+k, are constructed. It appears that if ω+ = +∞, then {Mathematical expression}.

Original languageEnglish
Pages (from-to)43-57
Number of pages15
JournalCelestial Mechanics
Volume20
Issue number1
DOIs
Publication statusPublished - 1 Jul 1979

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N-body Problem
many body problem
Continuation
Monotonic increasing sequence
estimates
Estimate
Exceed
Non-negative
Lower bound
intervals
Interval
method

Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

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title = "Existence of the continuations in the N-body problem",
abstract = "The method of obtaining the estimates of the maximal t-interval (ω-, ω+) on which the solution of the N-body problem exists and which is such that some fixed mutual distance (e. g. Δ12) exceeds some fixed non-negative lower bound, for all t contained in (ω-, ω+), is considered. For given masses and initial data, the increasing sequences of the numbers γk, each of which provides the estimate ω+ >γk, are constructed. It appears that if ω+ = +∞, then {Mathematical expression}.",
author = "Babadzanjanz, {L. K.}",
year = "1979",
month = "7",
day = "1",
doi = "10.1007/BF01236607",
language = "English",
volume = "20",
pages = "43--57",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
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}

Existence of the continuations in the N-body problem. / Babadzanjanz, L. K.

In: Celestial Mechanics, Vol. 20, No. 1, 01.07.1979, p. 43-57.

Research output

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T1 - Existence of the continuations in the N-body problem

AU - Babadzanjanz, L. K.

PY - 1979/7/1

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N2 - The method of obtaining the estimates of the maximal t-interval (ω-, ω+) on which the solution of the N-body problem exists and which is such that some fixed mutual distance (e. g. Δ12) exceeds some fixed non-negative lower bound, for all t contained in (ω-, ω+), is considered. For given masses and initial data, the increasing sequences of the numbers γk, each of which provides the estimate ω+ >γk, are constructed. It appears that if ω+ = +∞, then {Mathematical expression}.

AB - The method of obtaining the estimates of the maximal t-interval (ω-, ω+) on which the solution of the N-body problem exists and which is such that some fixed mutual distance (e. g. Δ12) exceeds some fixed non-negative lower bound, for all t contained in (ω-, ω+), is considered. For given masses and initial data, the increasing sequences of the numbers γk, each of which provides the estimate ω+ >γk, are constructed. It appears that if ω+ = +∞, then {Mathematical expression}.

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