The triple asteroids and triple Kuiper belt objects (collectively called triple minor planets) in the Solar system are of particular interest to the scientific community since the discovery of the first triple asteroid system in 2004. In this paper, the Hill stability of the nine known triple minor planets in the Solar system is investigated. Seven of the systems are of large size ratio, that is, they consist of a larger primary and two moonlets, while the other two systems have components of comparable size. Each case is treated separately. For the triple minor planets that have large size ratio, the sufficient condition for Hill stability is expressed in a closed form. This is not possible for the systems with comparable size components, for which the Hill stability is assessed by a combination of analytical and numerical means. It is found that all the known triple minor planets are Hill stable, except 3749 Balam, for which the incomplete orbital parameters make the Hill stability of the system uncertain. This suggests that there might be more such stable triple minor planets in the Solar system yet to be observed. It is also shown that the Hill stability regions increase as the mutual inclination between the inner and outer orbits decreases, the semimajor axis ratio of the inner orbit with respect to the outer orbit decreases, and the mass ratio of the outer satellite with respect to the inner satellite increases. This study therefore provides useful information about dynamical properties of the triple minor planets in the Solar system.
机构:
New York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
New York Univ Abu Dhabi, Ctr Astrophys & Space Sci CASS, POB 129188, Abu Dhabi, U Arab EmiratesNew York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
Georgakarakos, Nikolaos
Eggl, Siegfried
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Univ Illinois, Dept Aerosp Engn, Dept Astron, NCSA,CAPS, Urbana, IL USANew York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
Eggl, Siegfried
Ali-Dib, Mohamad
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New York Univ Abu Dhabi, Ctr Astrophys & Space Sci CASS, POB 129188, Abu Dhabi, U Arab EmiratesNew York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
机构:
NASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USA
Univ Nebraska Kearney, Dept Phys & Phys Sci, Kearney, NE 68849 USANASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USA
Quarles, B.
Lissauer, Jack J.
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NASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USANASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USA
机构:
New York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
New York Univ Abu Dhabi, Ctr Astrophys & Space Sci CASS, POB 129188, Abu Dhabi, U Arab EmiratesNew York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
Georgakarakos, Nikolaos
Eggl, Siegfried
论文数: 0引用数: 0
h-index: 0
机构:
Univ Illinois, Dept Aerosp Engn, Dept Astron, NCSA,CAPS, Urbana, IL USANew York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
Eggl, Siegfried
Ali-Dib, Mohamad
论文数: 0引用数: 0
h-index: 0
机构:
New York Univ Abu Dhabi, Ctr Astrophys & Space Sci CASS, POB 129188, Abu Dhabi, U Arab EmiratesNew York Univ Abu Dhabi, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
机构:
NASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USA
Univ Nebraska Kearney, Dept Phys & Phys Sci, Kearney, NE 68849 USANASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USA
Quarles, B.
Lissauer, Jack J.
论文数: 0引用数: 0
h-index: 0
机构:
NASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USANASA, Ames Res Ctr, Space Sci & Astrobiol Div, MS 245-3, Moffett Field, CA 94035 USA