1996
DOI: 10.1007/bf00637811
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Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness

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Cited by 61 publications
(40 citation statements)
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“…The linear stability region and corresponding main resonance curves in µ − q 1 parameter space are shown in figure ( 12) the doted lines are corresponding to A 2 = 0.02, the curve corresponding to k = 1, (q 1 = 1, A 2 = 0, µ 1 = µ Routh = 0.038521) is actual boundary of the stability region these results are similar to Markellos, Papadakis, and Perdios (1996) and others. The critical values of mass parameter µ are given in the tables ( 4, 5) for various values of q 1 , A 2 .…”
Section: Linear Stability Without P-r Effectsupporting
confidence: 77%
“…The linear stability region and corresponding main resonance curves in µ − q 1 parameter space are shown in figure ( 12) the doted lines are corresponding to A 2 = 0.02, the curve corresponding to k = 1, (q 1 = 1, A 2 = 0, µ 1 = µ Routh = 0.038521) is actual boundary of the stability region these results are similar to Markellos, Papadakis, and Perdios (1996) and others. The critical values of mass parameter µ are given in the tables ( 4, 5) for various values of q 1 , A 2 .…”
Section: Linear Stability Without P-r Effectsupporting
confidence: 77%
“…These expressions of the perturbed mass ratio have similar form to that of [36], [37], [38], [39] and [28], obtained in case of triangular equilibrium points under specific assumptions. Numerically, the perturbed mass ratio are obtained at different values of q 1 and A 2 (Table 3).…”
Section: Resonance Casessupporting
confidence: 53%
“…have studied different aspects of restricted three body problem (RTBP), by taking one or both primary as source of radiation or oblate spheroid or both and have discussed their effects on the motion of infinitesimal mass. [27] have found non-linear stability zones around triangular equilibrium point in the RTBP with oblateness. [11], [12] have studied generalized photogravitational Chermnykh-like problem with P-R drag and found that triangular points are stable under Routh's condition but collinear equilibrium points are unstable whereas, [28] have discussed about linear stability of triangular equilibrium point and resonances.…”
Section: Introductionmentioning
confidence: 94%
See 1 more Smart Citation
“…[10]; El-Shaboury [11]; Bhatnagar et al [12]; Selaru D. et.al. [13]; Markellos et al [14]; Subbarao and Sharma [15]; Khanna and Bhatnagar [16,17]; Roberts G.E. [18]; Oberti and Vienne [19]; Sosnytskyi [20]; Perdiou et.…”
Section: Introductionmentioning
confidence: 99%