Abstract
Five outer planets are numerically integrated over five million years in the Newtonian frame. The argument of Pluto’s perihelion librates about 90 degrees with an amplitude of about 23 degrees. The period of the libration depends on the mass of Pluto: 4.0xl06 years for M pluto =2.78xlO-6 M sun and 3.8xl06 years for M pluto =7.69x 10-9 M sun , which is the newly determined mass. The motion of Neptune’s perihelion is more sensitive to the mass of Pluto. For M pluto =7.69xl0-9 M sun , the perihelion of Neptune does circulate counter-clockwise and for M pluto =2.78x 10-6 M sun , it does not circulate and the Neptune’s eccentricity does not have a minimum. With the initial conditions which do not lie in the resonance region between Neptune and Pluto, a close approach between them takes place frequently and the orbit of Pluto becomes unstable and irregular.
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References
Bretagnon, P: 1974, Astron.Astrophys., 30, 141.
Cohen, C.J. and Hubbard, E.C.: 1973, Astron.J., 70, 10.
Cohen, C.J.,Hubbard, E.C., and Oesterwinter, C.: 1973, Astronomical Papers of the American Ephemeris), 22, pt 1.
Gragg, W.B.: 1985, SIAM J.Nimer.Anal., 2, 384.
Hori, G. and Gieaglia, G.E.O.: 1968, Research in Celestial Mechanics and Differential Equations (University of Sao Paulo), 1, 4.
Nacozy, P. E. and Diehl, R.E.: 1978a, Astron.J., 83, 522.
Nacozy, P.E. and Diehl, R.E.: 1978b, Celest. Mech., 17, 405.
Williams, J.G. and Benson, G. S.: 1971, Astron. J. 76, 167.
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© 1984 D. Reidel Publishing Company
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Kinoshita, H., Nakai, H. (1984). Motions of the Perihelions of Neptune and Pluto. In: Duncombe, R.L., Dvorak, R., Message, P.J. (eds) The Stability of Planetary Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5331-4_18
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DOI: https://doi.org/10.1007/978-94-009-5331-4_18
Publisher Name: Springer, Dordrecht
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