
Celestial Mechanics
AIE 2017 . 2018  2º semestre
Specification sheet Specific details
Learning goals
This course aims at letting the students understand the movements of celestial bodies, including the discussion of the recent discoveries of extrasolar planets. It is also expected that students will master the use of star catalogues, for understanding and building systems of reference.
The main competencies are: capacity analysis and synthesis; ability to formulate and solve problems; ability to work in groups; critical thinking; autonomous learning ability; initiative and entrepreneurshipt; ability to apply theoretical knowledge in practice. Syllabus
 Brief introduction to Newtonian Mechanics: a brief historical review (Ptolemy, Copernicus, Tycho Brahe, Kepler and Newton) and fundamental concepts (Kepler's three laws for the motion of planets around the sun, Newton?s three laws for the motion of a particle, inertial reference systems, Newton?s law of attraction and the gravitational constant).
 Proper motion of the stars and correction of the coordinates.  The onebody problem in a Newtonian field.  The twobody problem.  Some applications:  The annual movement of the Earth and the Sun's apparent annual movement.  Effects on the observations: annual parallax and aberration.  Study of the motion of artificial satellites.  The nbody problem. Introduction to perturbation theory.  Some applications:  Study of precession and nutation of the Earth and effects on the observations.  Extrasolar planets.  Conversion between apparent coordinates and mean coordinates. Star catalogs. Prerequisites
Astronomy Elements, Linear Algebra and Analytic Geometry I and II, Infinitesimal Analysis I and II, Differential Equations and Modelling
Generic skills to reach
. Competence in analysis and synthesis;. Computer Skills for the scope of the study; . Competence to solve problems; . Competence in applying theoretical knowledge in practice; . Competence for working in group; . Critical thinking; . Competence in autonomous learning; . Initiative and entrepreneurial spirit; (by decreasing order of importance) Teaching hours per semester
Assessment
assessment implementation in 20172018
Assessment Resolution Problems: 25.0% Mini Tests: 25.0% Frequency: 50.0% Bibliography of reference
F. R. Moulton, An Introduction to Celestial Mechanics, Dover Publications, 1970
P. M. Fitzpatrick, Principles of Celestial Mechanics, Academic Press, 1970 R. Green, Spherical Astronomy, Cambridge University Press, 1993 Teaching method
A significant part of practical classes is expositive in nature, complemented by the presentation of specific examples and problem solving for applying the acquired knowledge. Personal and group work and discussion in the classroom are encouraged by the teacher. Students are also accompanied individually to discuss their work and to identify any difficulties.
Resources used
Computador
