International Journal of Astrophysics and Space Science
Volume 6, Issue 1, February 2018, Pages: 38-43
Received: Feb. 8, 2018;
Accepted: Mar. 1, 2018;
Published: Mar. 19, 2018
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Robert B. Brown, Department of Astronautics, United States Air Force Academy, Colorado, USA
Scott R. Dahlke, Department of Astronautics, United States Air Force Academy, Colorado, USA
Previously several authors have proposed the existence of one or more giant planets beyond Neptune to explain the non-uniform orbital elements for a dozen or fewer trans-Neptunian objects (TNOs). However, as shown here, it is not just twelve orbits that are non-randomly distributed. The distribution of the longitudes of ascending node, Ω, for all of the known TNOs with perihelia beyond Neptune is also non-uniform, and this cannot be explained by observational bias. However, simulations show that Ω should become uniformly distributed within just three to five million years due to small perturbations from the known planets. Furthermore, the proposed Planet Nine cannot prevent this randomization. These results indicate it is plausible that TNOs have only been in their present orbits for a few million years or less, and there is no reason for giant, undiscovered planets to exist.
Robert B. Brown,
Scott R. Dahlke,
The Non-Uniform and Dynamic Orbits of Trans-Neptunian Objects, International Journal of Astrophysics and Space Science.
Vol. 6, No. 1,
2018, pp. 38-43.
C. A. Trujillo and S. S. Sheppard, “A Sedna-like body with a perihelion of 80 astronomical units,” Nature, Vol. 507, No. 7493, pp. 471-474 (2014).
L. Jílková, S. P. Zwart, T. Pijloo, and M. Hammer, “How Sedna and family were captured in a close encounter with a solar sibling,” MNRAS, Vol. 453, No. 3, pp. 3157-3162 (2015).
Y. Kozai, “Secular perturbations of asteroids with high inclination and eccentricity,” AJ, Vol. 67, p. 591 (1962).
R. Brasser, M. J. Duncan, H. F. Levison, H. F., “Embedded star clusters and the formation of the Oort Cloud,” Icarus, Vol. 184, No. 1, pp. 59-82 (2006).
C. de la Fuente Marcos and R. de la Fuente Marcos, “Extreme trans-Neptunian objects and the Kozai mechanism: signaling the presence of trans-Plutonian planets,” MNRAS: Letters, Vol. 443, No. 1, pp. L59-L63 (2014).
L. Iorio, “Planet X revamped after the discovery of the Sedna-like object 2012 VP113?” MNRAS: Letters, Vol. 444, No. 1, pp. L78-L79 (2014).
R. B. Brown and J. A. Firth, "Analysis of trans-Neptunian objects and a proposed theory to explain their origin,” MNRAS, Vol. 456, No. 2, pp. 1587-1594 (2015).
K. Batygin, and M. E. Brown, “Evidence for a distant giant planet in the solar system,” AJ, Vol. 151, No. 2, p. 22 (2016).
E. Hand, “Number 9,” Science, Vol. 351, No. 6271, pp. 330-333 (2016).
M. E. Brown and K. Batygin, “Observational constraints on the orbit and location of Planet Nine in the outer solar system,” ApJ Letters, Vol. 824, No. 2, p. L23 (2016).
C. de la Fuente Marcos, R. de la Fuente Marcos, and S. J. Aarseth, “Dynamical impact of the Planet Nine scenario: N-body experiments,” MNRAS: Letters, Vol. 460, No. 1, pp. L123-L127 (2016).
J. Sokol, “New haul of distant worlds casts doubt on Planet Nine,” Science, Vol. 356, No. 6344, p. 1221 (2017). DOI: 10.1126/science.356.6344.1221
M. E. Brown and M. Pan, “The plane of the Kuiper Belt,” AJ, Vol. 127, No. 4, p. 2418 (2004).
E. Fehlberg, “Classical Fifth-, Sixth-, Seventh- and Eighth-Order Runge-Kutta Formulas with Stepsize Control,” NASA TR R-287, 52 (1968).
D. A. Vallado, “Fundamentals of astrodynamics and applications (Fourth Edition),” Microcosm Press, p. 525, (2013).
J. E. Chambers, “A hybrid symplectic integrator that permits close encounters between massive bodies,” MNRAS, Vol. 304, No. 4, pp. 793-799 (1999).
A. Fienga, J. Laskar, H. Manche, and M. Gastineau, “Constraints on the location of a possible 9th planet derived from the Cassini data,” A&A, Vol. 587, p. L8 (2016).
A. Witze, “Evidence grows for giant planet on fringes of Solar System,” Nature, Vol. 529, pp. 266-267 (2016).
M. J. Holman and M. J. Payne, “Observational constraints on Planet Nine: Cassini Range Observations,” AJ, Vol. 152, No. 4, p. 94 (2016).
A. P. Vidmachinko, “The proposed 9th planet of Solar System at a distance less than 1000 AU is absent,” International scientific conference Astronomical School of Young Scientists, May 24-25, 2017, Bila Tserkva, Ukraine, pp. 19-20 (2017).
R. B. Brown, “Unusual eccentricity and inclination distributions of trans-Neptunian objects and trans-Neptunian binaries,” IJASS, Vol. 6, No. 1, pp. 28-37 (2018). DOI: 10.11648/j.ijass.20180601.13