2 papers
math.DS2025
A common first integral from three-body secular theory and Kepler billiards
Gabriella Pinzari, Lei Zhao
We observe that a particular first integral of the partially-averaged system in the secular theory of the three-body problem appears also as an important conserved quantity of inte…
math-ph2025
Projective deduction of the non-trivial first integral to the Euler problem: an explicit computation
Gabriella Pinzari, Lei Zhao
The validity of Kepler Laws for the {\it spherical Kepler problem} -- namely, the problem of the motion of a particle on the unit sphere {in } undergoing an attraction…