Abstract
ABSTRACT The dynamical consequences of the hypothetical trans-Plutonian planet suggested by Brady (1972) are considered. It is concluded that the combination of large mass (9 x ) and unusual orbital inclination (120 ) would have two serious effects on the solar system: (a) the angle between the solar axis and the normal to the ecliptic would suffer large variations ( 2ir) with a period of a few times 1O years, and (b) the coplanar configuration of the outer solar system would be disrupted on a time scale of 106 years. The large residuals in the orbit of Halley's comet which prompted the suggestion of a trans-Plutonian planet can be explained in terms of nongravitational forces and the weak orbital binding energy of this object. Key words: comet - Halley's comet - celestial mechanics - trans-Plutonian planet
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