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<title>AAS 98-126</title><body BGCOLOR="ffffff"> <h2>AAS 98-126</h2> <h2>HARMONIC OSCILLATOR SOLUTIONS TO LINEARIZABLE PERTURBATIONS OF TWO-BODY PROBLEMS</h2> <h4>I. Aparicio, L. Floria - Universidad de Valladolid, Spain</h4> <h2> Abstract </h2> In extended phase-space formulation, we analyze the exact linearization (say, reduction to second-order differential equations with constant coefficients governing a set of harmonic oscillators) of the equations of motion derived from a class of perturbed Keplerian Hamiltonian systems, and solve the resulting set of second-order equations. The said exact linearization is studied in terms of the so-called BF-, DEF- and D-variables, originally devised to regularize and exactly linearize unperturbed Keplerian Hamiltonian systems. We characterize perturbing potentials admitting exact linearization in these variables, and obtain the respective solutions corresponding to harmonic oscillators. <P><A HREF="http://www.space-flight.org/AAS_meetings/1998_winter/sessions.html">Back</A>