TY - JOUR

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

AU - Babadzanjanz, L. K.

PY - 1979/7/1

Y1 - 1979/7/1

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}.

UR - http://www.scopus.com/inward/record.url?scp=33750683844&partnerID=8YFLogxK

U2 - 10.1007/BF01236607

DO - 10.1007/BF01236607

M3 - Article

AN - SCOPUS:33750683844

VL - 20

SP - 43

EP - 57

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 1

ER -