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math-ph2013
Explicit Solution to the Constant Radial Acceleration Problem
Dario Izzo, Francesco Biscani
While the constant radial acceleration problem is known to be integrable and has received some recent attention in an orbital mechanics context, a closed form explicit solution, re…
math-ph2013★ 15 cited
The Stark problem in the Weierstrassian formalism
Francesco Biscani, Dario Izzo
We present a new general, complete closed-form solution of the Stark problem in terms of Weierstrass elliptic and related functions. With respect to previous treatments of the prob…
gr-qc2013★ 9 cited
A first-order secular theory for the post-Newtonian two-body problem with spin -- I: The restricted case
Francesco Biscani, Sante Carloni
We revisit the relativistic restricted two-body problem with spin employing a perturbation scheme based on Lie series. Starting from a post-Newtonian expansion of the field equatio…