  In addition to its long-term constancy, the Pioneer (spacecraft) anomaly
appears to only exist for bodies whose mass is less than that of: planets,
moons, comets, and heavy asteroids of known mass. Assuming the observational
evidence is reliable, and not the result of an unknown systematic effect, a
violation of the Weak Principle of Equivalence is implied. To propose an
additional force fails to satisfy this constraint. This paper presents a new
hypothesis involving additional field energy in the form of: a finite number of
lunar sourced constant amplitude (Lorentz invariant) wave-like undulations upon
the gravitational field. Although apparently a futile suggestion, the author's
model overcomes concerns regarding wave dissipation, wave generation, and the
apparent constancy of the anomaly. A shortfall in motion arises because a tiny
proportion of spacecraft kinetic energy is directed into a superposition of
non-translational longitudinal oscillatory components. The restriction of this
effect to low mass bodies is also addressed. Additionally, the annual residual
of the Pioneer anomaly may be attributed to a real 356 day Callisto-Titan wave
resonance. This hypothesis may also be readily applied to other solar system
anomalies including: the Earth flyby anomaly, an apparent absence of small
comets, an apparent paucity of smaller bodies in the Main Belt of asteroids,
and residual doubts concerning the migrating planets hypothesis that addresses
the too rapid formation of the ice giants Uranus and Neptune.
