Abstract
The DI Herculis system has been extensively studied over the past few decades because its observed rate of apsidal advance is less than a quarter of that which is expected from its physical and orbital properties. Work by Khaliullin et al. (1991) proposed that this slow rate of apsidal advance is a result of the presence of a third (stellar mass) body orbiting the system, however, observations by Guinan et al. (1994) severely restrict the orbital properties of such a solution. We show that a planetary mass object in a highly inclined orbit relative to the binary is capable of producing the observed apsidal motion, while remaining within the bounds of the most recent set of observations. A wide range of stable solutions are possible.
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References
Claret, A.: Some notes on the relativistic apsidal motion of DI Herculis. A&A 330, 533–540 (1998)
Company, R., Portilla, M., Gimenez A.: On the apsidal motion of DI Herculis. ApJ 335, 962–964 (1988)
Eggleton, P.P., Kiseleva, L.G., Hut, P.: The Equilibrium Tide Model for Tidal Friction. ApJ 499, 853–870(1998)
Goldstein, H.: Classical Mechanics. Addison-Wesley Publishing Company, Inc (1959)
Guinan, E.F., Maloney F.P.: The apsidal motion of the eccentric eclipsing binary DI Herculis – an apparent discrepancy with general relativity. AJ 90, 1519–1528 (1985)
Guinan, E.F., Marshall, J.J., Maloney, F.P.: A New Apsidal Motion Determination for DI Herculis'. IBVS 4101, 1-+ (1994)
Hut, P.: Tidal Evolution in Close Binary Systems. A&A 99, 126–140 (1981)
Innanen, K.A., Zheng, J.Q., Mikkola S., Valtonen, M.J.: The Kozai Mechanism and the Stability of Planetary Orbits in Binary Star Systems. AJ 113, 1915-+ (1997)
Mardling, R.A., Lin, D.N.C.: Calculating the Tidal, Spin, and Dynamical Evolution of Extrasolar Planetary Systems. ApJ 573, 829–844 (2002)
Moffat, J.W.: The orbital motion of DI Herculis as a test of a theory of gravitation. ApJL 287, L77–L79 (1984)
Murray, C.D., Dermott, S.F.: Solar System Dynamics. Cambridge University Press (1999)
Reisenberger, M.P., Guinan, E.F.: A possible rescue of general relativity in DI Herculis. AJ 97, 216–221 (1989)
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Hsuan, K., Mardling, R.A. A Three Body Solution for the DI Her System. Astrophys Space Sci 304, 243–246 (2006). https://doi.org/10.1007/s10509-006-9121-0
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DOI: https://doi.org/10.1007/s10509-006-9121-0