Układy planetarne 7404-PLANETSYS

https://moodle.umk.pl/course/view.php?id=7667

1) Introduction to Planetary Systems

- Overview of Planetary Systems, basic definitions and components (stars, planets, moons, small bodies)
- The Solar System vs. extrasolar systems: similarities and differences
- Historical foundations of celestial mechanics (Kepler, Newton)

2) Kepler problem and Multi-Body Dynamics
- Kepler’s laws
- The planetary N-Body Problem
- Hands-on: Databases of planetary systems, JPL Horizons

3) Exoplanet detection techniques
- Exoplanet detection methods (radial velocity, transit, microlensing, timing, and astrometry)
- Dynamical information derived from observational time series (mass, orbital parameters)
- The role of space and ground surveys in exoplanet research (e.g., TESS, JWST, ELT, ALMA)
- Hands-on: case studies of time series analysis (Allesfitter)

4) Orbital perturbations and stability
- Gravitational and relativistic perturbations, tides
- Secular phenomena: apsidal and nodal precession
- Hands-on: software packages to study orbital evolution and physical phenomena governing the evolution of planetary systems (REBOUND)

5) Dynamical and physical characteristics of exoplanet systems
- Distribution of eccentricities, inclinations, and implications for formation theories
- Observed patterns in exoplanetary system architecture

6) Resonant dynamics and long term stability
- Orbital Resonances
- Tidal locking, spin dynamics, and synchronous rotation
- Introduction to chaotic systems, Lyapunov timescales
- KAM theorem and implications
- Stability of the Solar System and extrasolar planetary systems
- Hands-on: regular and chaotic dynamics of planetary systems (REBOUND)

7) Formation of planetary systems
- Recent theories of planetary formation
- Role of host star type, metallicity, binarity and protoplanetary disk properties
- Planetary migration and shaping planetary systems

8) Dynamics of terrestrial and habitable planets
- Terrestrial and super-Earth planet dynamics
- The habitable zone and factors influencing habitability, evolution and stability over time
- Compact planet systems in the Kepler/K2/Tess/Cheops sample

9) Dynamics of small bodies (asteroids, comets)
- Orbital characteristics of asteroids, comets, and near-Earth objects
- Debris disks and planet formation

10) Jovian planets and brown dwarfs
- Orbital and physical characteristics of gas and ice giants
- Ring dynamics, shepherd moons, and collisional processes

Całkowity nakład pracy studenta

Contact hours with teacher: • participation in lectures - 30 hrs Self-study hours: • preparation for lectures - 15 hrs • working with software - 15 hrs • preparation to the final exam - 15 hrs 3 ETS points (75hrs)

Efekty uczenia się - wiedza

Student knows and understands: W1: Current statistics and diversity of planetary systems based and the techniques to detect them W2: The basic Newtonian classical mechanics with the focus at the N-body planetary problem and its variants W3: Orbital dynamics based on the two-body problem in astrophysics (star-planet, binary stars) and construction of the observational model W4: Astrophysical and dynamical phenomena governing the formation and long term evolution of planetary systems (P8S_WG, P8S_WK)

Efekty uczenia się - umiejętności

Student: U1: Can apply the parametrisation of the Keplerian orbits, various types of orbital elements, propagation of the initial condition with a software package (REBOUND) U2: Knows how to construct kinematic merit function for astrophysical observations of binary systems (radial velocities, astrometry, eclipse timing) and optimize simple configurations (AllesFitter, Orbitize) U3: Is familiar with databases of planetary systems, can select and analyze statistical information (exoplanet.org, NASA Horizons) (P8S_UW, P8S_UK, P8S_WG)

Efekty uczenia się - kompetencje społeczne

Student: K1: Understands the fundamental links between the mathematical theory and observations K2: Understands the significance of the Copernicus revolution K3: Is prepared to study a specialized subject of astronomy and strophysics (P8S_KK)

Metody dydaktyczne

Expository teaching methods: • informative (conventional) lecture • classic problem

Rodzaj przedmiotu

przedmiot fakultatywny

Wymagania wstępne

General courses in Physics and Astronomy (Classical Mechanics, Astrophysics, Statistics)
Programming essentials (best: Python)

Koordynatorzy przedmiotu

Krzysztof Goździewski

Kryteria oceniania

Assessment methods: approximately 45-minute oral presentation seminar with questions (elements of an oral exam) on a topic selected in advance with the help of the lecturer:
- content mastery (50%): the student demonstrates comprehensive understanding of the topic through accurate information, critical analysis, and integration of relevant academic sources,
- discussion & questions (30%): responding thoughtfully to questions (can be wider than the topic itself),
- organization & structure (20%): the student presents material in a logical, well-structured format with clear introduction, coherent flow, and strong conclusion within the time limit.

The (open problems): W1, W2, W3, W4, U1, U2

Assessment criteria the final examinations:
fail - below 50%
satisfactory - 51%
satisfactory plus - 60%
good - 70%
good plus - 80%
very good - 90%

Literatura

Fundamentals of Celestial Mechanics by J.M.A. Danby
Dynamics of Planetary Systems by Scott Tremaine
Solar System Dynamics by Carl D. Murray and Stanley F. Dermott
Physics of the Solar System by Bruno Bertotti, Paolo Farinella and David Vokrouhlicky
Astrophysics of Planet Formation by Phil Armitage
Online resources: NASA Exoplanet Archive, JPL’s Solar System Dynamics site

The course slides will be published on-line in the form of the Moodle course.

Więcej informacji

Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb:

Strona przedmiotu 7404-PLANETSYS w USOSweb