Some families of periodic oscillations in the restricted problem with small mass-ratios of three bodies |
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Authors: | V V Markellos |
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Institution: | (1) Dept. of Astronomy, University of Manchester, England |
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Abstract: | This paper reports on the numerical determination of families of periodic oscillations in the case =0.000 95 of the restricted problem. The families emanating out of the collinear Lagrangian pointsL
1,L
2,L
3 are examined as well as some asymmetric periodic oscillations related to them. An effort is made to complete the global picture of simple-periodic symmetric oscillations in the present case of the problem (the S-J case). This is done by examining the orbits with initial conditions such that the infinitesimal body starts from a position on the 1-axis ( 02 = 0) with a negative initial velocity
perpendicular to this axis
. In a previous article this investigation has been carried out for negative values of 01, where the position of the small primary defines 1=0. Now we proceed to consider orbits with 01>0. The phase portrait of asymmetric periodic orbits is also examined. |
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Keywords: | |
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