On a new method of qualitative investigation of a gravitating system motion stable according to Lagrange

Details On a new method of qualitative investigation of a gravitating system motion stable according to Lagrange On a new method of qualitative investigation of a gravitating system motion stable according to Lagrange

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..169e&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, June 1984, p. 169-191.

Physics

1

Celestial Mechanics, Euler-Lagrange Equation, Gravitational Fields, Many Body Problem, Motion Stability, Measure And Integration, Metric Space, Poincare Problem, Sequential Analysis

Scientific paper

Some basic theoretical problems concerning dynamic gravitational systems are considered according to Lagrange stability criteria and to the periodicity of formal motion. A comparative method of the recurrence over time of differential functional space elements is described which helps to compare the motion of a system with its physical characteristics on the basis of their repetitiveness. It is found that the isochronism or reciprocal comparability of the principal characteristics of a gravitating system of motion is a necessary precondition to Lagrange stability.

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