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Short-Term Dynamical Interactions among Extrasolar Planets
Open accessAbstract
We show that short-term perturbations among massive planets in multiple planet systems can result in radial velocity variations of the central star that differ substantially from velocity variations derived assuming the planets are executing independent Keplerian motions. We discuss two fitting methods that can lead to an improved dynamical description of multiple planet systems. In the first method, the osculating orbital elements are determined via a Levenberg-Marquardt minimization scheme driving an N -body integrator. The second method is an improved analytic model in which orbital elements are allowed to vary according to a simple model for resonant interactions between the planets. Both of these methods can determine the true masses for the planets by eliminating the sin i degeneracy inherent in fits that assume independent Keplerian motions. We apply our fitting methods to the GJ 876 radial velocity data and argue that the mass factors for the two planets are likely in the 1.25-2.0 range.
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Citations
Cited by
The Use of Transit Timing to Detect Terrestrial-Mass Extrasolar Planets
Holman, M. J., & Murray, N. W. (2005) · Science · doi:10.1126/science.1107822 · Cited by 773
The HARPS search for southern extra-solar planets: XXXI. The M-dwarf sample
Bonfils, X., Delfosse, X., Udry, S., Forveille, T., Mayor, M., Perrier, C., Bouchy, F., Gillon, M., Lovis, C., Pepe, F., et al. (2013) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201014704 · Cited by 653
Dynamics and Origin of the 2 : 1 Orbital Resonances of the GJ 876 Planets
Lee, M. H., & Peale, S. J. (2002) · The Astrophysical Journal · doi:10.1086/338504 · Cited by 538
A ∼7.5 M⊕Planet Orbiting the Nearby Star, GJ 876
Rivera, E. J., Lissauer, J. J., Butler, R. P., Marcy, G. W., Vogt, S. S., Fischer, D. A., Brown, T. M., Laughlin, G., & Henry, G. W. (2005) · The Astrophysical Journal · doi:10.1086/491669 · Cited by 481
Self-citationA Pair of Resonant Planets Orbiting GJ 876
Marcy, G. W., Butler, R. P., Fischer, D., Vogt, S. S., Lissauer, J. J., & Rivera, E. J. (2001) · The Astrophysical Journal · doi:10.1086/321552 · Cited by 393
Metadata
- Authors
- Laughlin, G., & Chambers, J. E.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2001-04-10
- Volume
- 551
- Issue
- 1
- Pages
- L109-L113
- ISSN
- 0004-637X (ISSN-L)
- OpenAlex
- W2102617904
- Cited by
- 197
- References
- 0
- FWCI
- 14.05
- Type
- journal article
- Language
- en
- Open access
- bronze
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