3 papers
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…
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.DS2020
A stochastic optimization algorithm for analyzing planar central and balanced configurations in the -body problem
Alexandru Doicu, Lei Zhao, Adrian Doicu
A stochastic optimization algorithm for analyzing planar central and balanced configurations in the -body problem is presented. We find a comprehensive list of equal mass centra…