Some special restricted four-body problems - I. Modelling the Caledonian problem

Planetary and Space Science

Volumn 46, Issue 11-12, 1998, Pages 1465-1474

  Steves, B A ^a   Roy, A E ^b  

^a GLASGOW CALEDONIAN UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006720981     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0032-0633(98)00077-4     Document Type: Article

References (16)

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3. Milani, A. and Nobili, A. M. (1983) On the stability of hierarchical four-body systems. Celest. Mech. 31, 241.
4. Roy, A. E. (1979) Empirical stability criteria in the many-body problem. Instabilities in Dynamical Systems, ed. V. Szebehely. Reidel, Dordrecht.
5. Roy, A. E. (1988) Orbital Motion, 3rd edn. Adam Hilger, Bristol.
6. Roy, A. E. and Ovenden, M. W. (1955) On the occurrence of commensurable mean motions in the Solar System II. The mirror theorem. Mon. Not. Roy. Astron. Soc. 115, 296.
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9. Szebehely, V. (1967) Theory of Orbits. Academic, New York.
10. Szebehely, V. and Zare, K. (1977) Stability of classical triplets and of their hierarchy. Astronomy and Astrophysics 58, 145.
11. Valsecchi, G., Carusi, A. and Roy, A. E. (1984) The effect of orbital eccentricities on the shape of the Hill-type analytical stability surfaces in the general three-body problem. Celest. Mech. 32, 217.
12. Walker, I. W. (1983) Stability criteria in many-body systems IV. Empirical stability parameters for general hierarchical dynamical systems. Celest. Mech. 29, 149.
13. Walker, I. W., Emslie, A. G. and Roy, A. E. (1980) Stability criteria in many-body systems I. An empirical stability criterion for co-rotational three-body systems. Celest. Mech. 22, 371.
14. Walker, I. W. and Roy, A. E. (1983a) Stability criteria in many-body systems III. Empirical stability regions for corotational, coplanar, hierarchical three-body systems. Celest. Mech. 29, 117.
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16. Zare, K. ( 1977) Bifurcation points in the planar problem of three bodies. Celest. Mech. 16, 35.