(left) The characteristic curve of the circular family CR for the ellipsoid (dashed curve) and 433-Eros (solid curve) projected on the plane y0 − z0. The points Bm indicate the y0-position of the v.c.o. with the subscript m being the multiplicity. The red segment indicates the part of the family with unstable orbits. (right) The variation of the stability indices b1 and b2 along the CR-family of ellipsoid and Eros.

(left) The characteristic curve of the circular family CR for the ellipsoid (dashed curve) and 433-Eros (solid curve) projected on the plane y0 − z0. The points Bm indicate the y0-position of the v.c.o. with the subscript m being the multiplicity. The red segment indicates the part of the family with unstable orbits. (right) The variation of the stability indices b1 and b2 along the CR-family of ellipsoid and Eros.

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In Karydis et al. (2021) we have introduced the method of shape continuation in order to obtain periodic orbits in the complex gravitational field of an irregularly-shaped asteroid starting from a symmetric simple model. What’s more, we map the families of periodic orbits of the simple model to families of the real asteroid model. The introduction...

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Context 1
... et al. (2020)). In the ellipsoid model, we consider the family of planar (z = 0) circular retrograde orbits, C R , which is fully stable. The family is also vertically stable but there are v.c.o. for higher period multiplicities (m = 2, 3, 4, ..). Their y 0 -position (where y 0 is the approximate radius of the orbit) is shown in the left panel of Fig. 2. The right panel shows the stability indicies b i along the family (dashed curves). The C R is continued when asymmetric terms are added in the potential in order to simulate the potential of the asteroid. The computed family for 433-Eros consists of orbits which are no longer planar and symmetric but are almost circular. The family is ...
Context 2
... right panel shows the stability indicies b i along the family (dashed curves). The C R is continued when asymmetric terms are added in the potential in order to simulate the potential of the asteroid. The computed family for 433-Eros consists of orbits which are no longer planar and symmetric but are almost circular. The family is presented in Fig. 2 with solid curves. The major part of C R of Eros consists of stable orbits and this is also the case close to the radius of the v.c.o. B 3 and B 4 . Therefore, such a situation implies scheme I for the 3D orbits emanating in the symmetric model from these v.c.o.. However, it is evident that the introduced asymmetries caused an unstable ...