mutual inclinations 1planetary hamiltonian 1secular dynamics 1small eccentricities 1vector formalism 1
From the 1 of 3 linked papers with an AI index.
3 papers
math-ph2026
Expansion of the planetary Hamiltonian for small eccentricities and inclinations: a vector formalism
Federico Mogavero
The paper derives a vector‑based expansion of the planetary Hamiltonian for orbits with small eccentricities and mutual inclinations, showing that secular and other Fourier terms c…
astro-ph.EP2026
Laplace-Legendre expansion of the planar planetary Hamiltonian
Aya Alnajjarine, Jacques Laskar, Federico Mogavero
We explore a hybrid expansion of the disturbing function in planetary dynamics that combines elements of the classical Laplace and Legendre developments. This formulation retains t…
astro-ph.EP2025
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets
Aya Alnajjarine, Federico Mogavero, Jacques Laskar
Extrasolar planetary systems commonly exhibit planets on eccentric orbits, with many systems located near or within mean-motion resonances, showcasing a wide diversity of orbital a…