Time evolution of various parameters for 2001 XA255, 2010 KR59, 2010 EN65, and 2012 GX17. The distance to the object from Neptune, dN, is shown in panel A) and the value of the Hill sphere radius of Neptune, 0.769 AU, is displayed. The resonant angle, λr, is shown in panel B) for the nominal orbit in Table 1 (thick red line) along with one of the control orbits (thin blue line). This particular control orbit was chosen to lie close to the 3-σ limit so that its orbital elements are distinct from the nominal ones with the exception of 2012 GX17. For that object the control orbit elements deviate by 1% from the nominal values in Table 1, which is at least 25 times higher than those of the other objects. The orbital elements are shown in panel C), a, with the current value of Neptune’s semi-major axis, panel D), e, and panel E), i.
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