A new family of periodic orbits for the restricted problem |
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| Authors: | E A Belbruno |
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| Institution: | (1) Department of Mathematics, Boston University, 264 Bay State Rd., 02215 Boston, MA, U.S.A. |
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| Abstract: | A new family of periodic orbits of the three-dimensional restricted three-body problem which continue off from a consecutive collision orbit are numerically studied. Their behavior for varying energy is unexpected. In particular, associated with our system is a countable set of resonant energy values and each time the energy passes through one of them the periodic orbit forms a loop by self-intersection. Any number of loops can form by this process and the resulting orbits take on an interesting appearance. |
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