Abstract
Numerical simulations are made within the framework of the plane restricted three-body problem, in order to find out if stable orbits for planets around one of the two components in double stars can exist. For any given set of initial parameters (the mass ratio of the two stars and the eccentricity of their orbit around each other), the phase-space of initial positions and velocities is systematically explored.
In previous works, systematic exploration of the circular model as well as studies of more realistic (elliptic) cases such as Sun-Jupiter and the nearby α Centauri and Sirius systems, large stable planetary orbits were found to exist around both components of the binary, up to distances from each star of the order or more than half the binary's periastron separation.
The first results presented here for the η Coronae Borealis system confirm the previous studies.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Benest, D.: 1974/1975/1976, ‘Effects of the Mass Ratio on the Existence of Retrograde Satellites in the Circular Plane Restricted Problem. I/II/III.’,Astron. Astrophys.,32, 39–46/45, 353–363/53, 231–236.
Benest, D.: 1978, ‘Orbites de satellite dans le Problème Restrictin.’, Thesis, Obs. Nice.
Benest, D.: 1988a, ‘Stable Planetary Orbits around one Component in Nearby Binary Stars.’,Celes. Mech.,43, 47–53.
Benest, D.: 1988b, ‘Planetary Orbits in the Elliptic Restricted Problem I. The α Centauri System.’,Astron. Astrophys.,206, 143–146.
Benest, D.: 1989, ‘Planetary Orbits in the Elliptic Restricted Problem II. The Sirius System.’,Astron. Astrophys.,223, 361–364.
Benest, D.: 1991, ‘Habitable Planetary Orbits around α Centauri and other binaries.’,Lecture Notes in Physics,390, 44–47.
Dvorak, R.: 1984, ‘Numerical Experiment on Planetary Orbits in Double Stars.’,Celes. Mech.,34, 369–378.
Dvorak, R.: 1986, ‘Critical Orbits in the Elliptic Restricted Three-Body Problem.’,Astron. Astrophys.,167, 379–386.
Dvorak, R., Froeschlé, Ch., Froeschlé, C.: 1989, ‘Stability of Outer Planetary Orbits (P-Types) in Binaries.’,Astron. Astrophys.,226, 335–342.
Froeschlé, C.: 1984, ‘The Lyapunov Exponents. Application to Celestial Mechanics.’,Celes. Mech.,34, 95–115.
Gonczi, R., Froeschlé, C.: 1981, ‘The Lyapunov Characteristic Exponents as Indicators of Stochasticity in the Three Body Restricted Problem.’,Celes. Mech.,25, 271–280.
Pavanini, G.: 1907, ‘Sopra una nuova categoria di soluzioni periodiche nel problema dei 3 corpi.’,Annali di Matematica, Serie III,13, 179–202.
Rabl, G., Dvorak, R.: 1988, ‘Satellite-type Planetary Orbits in Double Stars: A Numerical Approach.’,Astron. Astrophys.,191, 385–391
Szebehely, V.: 1980, ‘Stability of Planetary Orbits in Binary Systems.’,Celes. Mech.,22, 7–12.
Szebehely, V.: 1992, ‘On the Stability of Outer Planetary Orbits around Binary Stars.’,Celes. Mech., this volume.
Szebehely, V., McKenzie, R.: 1981, ‘Stability of Outer Planetary Systems.’,Celes. Mech.,23, 3–7.
Tscharnuter, W.M.: 1989, ‘Collapse Calculations.’, inE.S.O. Workshop on Low Mass Star Formation and Pre-Main Sequence Objects, pp. 75–87.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Benest, D. Stable planetary orbits around one component in nearby binary stars. II. Celestial Mech Dyn Astr 56, 45–50 (1993). https://doi.org/10.1007/BF00699718
Issue Date:
DOI: https://doi.org/10.1007/BF00699718