My scientific interests cover fields in natural sciences with special focus on mathematical problems in nonlinear dynamics.
- Celestial Mechanics & Nonlinear Dynamics
- Chaos & Role of Resonances
- Orbital & Rotational Problems in Space Science
- Gravitational & Non-gravitational effects (gravity, tides, interaction with the solar wind, radiation, magnetic fields)
Celestial Mechanics (motion of celestial bodies in space)
- Orbital motion of asteroids ([A1], [A2], [A3], [A4]), dust ([D1], [D2], [D3]), the planets ([P1]), space debris ([D2]), and the Sitnikov problem ([S1], [S2], [S3], [S4])
- Rotational dynamics of asteroids ([A5], [A6], [A7], [A8]), comets ([C1]), planetary moons and planet Mercury ([P1], [P2], [P3])
Dynamical systems in general (numerical simulations and analytical methods)
- Â computer assisted perturbation theory in general mathematical problems ([M1], [M2]) applied to the Sitnikov problem ([M3], [M4]), Trojan asteroids [M5], [M6], the spin-orbit problem [M7], [M8], [M9], and the motion of dust in our solar system ([M10], [M11], [M12])
- symplectic mapping methods in general mathematical problems (M13]), applied to the Lagrange problem ([M5], [M14], [M15], [M16]), and the Cassini state problem ([M17])
I am currently working on interactions of charged celestial bodies with space plasmas, i.e. the effect of stellar radiation and magnetic fields on the orbital motion of charged particles and dust grains.
A pdf with combined CV and publication list can also be downloaded from here.
Christoph Lhotka 