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Plutino
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=== Long-term stability === Pluto's influence on the other plutinos has historically been neglected due to its relatively small mass. However, the resonance width (the range of semi-axes compatible with the resonance) is very narrow and only a few times larger than Pluto's [[Hill sphere]] (gravitational influence). Consequently, depending on the original eccentricity, some plutinos will eventually be driven out of the resonance by [[Perturbation (astronomy)|interactions]] with Pluto.<ref name=wan2001>{{cite journal | author=Wan, X.-S |author2=Huang, T.-Y. | title=The orbit evolution of 32 plutinos over 100 million year | journal=Astronomy and Astrophysics | volume=368 | issue=2 | pages=700β705 | year=2001 | bibcode=2001A&A...368..700W| doi = 10.1051/0004-6361:20010056 | doi-access=free}}</ref> Numerical simulations suggest that the orbits of plutinos with an eccentricity 10%β30% smaller or larger than that of Pluto are not stable over [[Giga-annum|Ga]] timescales.<ref name="Yu1999">{{cite journal |first1=Qingjuan |last1=Yu |first2=Scott |last2=Tremaine |title=The Dynamics of Plutinos |journal=Astronomical Journal |volume=118 |year=1999 |issue= 4|pages=1873β1881 |arxiv = astro-ph/9904424 |bibcode = 1999AJ....118.1873Y |doi = 10.1086/301045 |s2cid=14482507 }}</ref>
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