Learning Outcomes
The students
a. will be able to comprehend the principles of Newtonian mechanics and the constants of motion and how to use them for the study of the motion in a force field
b. will be able to analyze simple mechanical models writing down the equations of motion. Also will be able to understand the motion with the use of the constants of motion.
c. will be able to solve and analyze orbits in fields of fundamental forces as gravitational and Coulomb forces.
Course Content (Syllabus)
The courses refer to the field of Newtonian mechanics of particles
1. Elements of kinematics
2. Principles of Newtonian mechanics and fundamental integrals of motion
3. One degree of freedom systems - equilibrium points and stability, boundaries of motion, phase space
4. Central forces - Differential equations of motion, boundaries of motion, circular orbits, forces inversely proportional to the square of distance.
5. Multi-particle systems - integrals of Energy and Angular momentum - The two body problem
6. Non-inertial systems and relative motion - Motion in the rotating Earth's frame of reference
Course Bibliography (Eudoxus)
1. Ι.Δ. Χατζηδημητρίου, ΘΕΩΡΗΤΙΚΗ ΜΗΧΑΝΙΚΗ, ΤΟΜΟΣ Α, ΝΕΥΤΩΝΕΙΑ ΜΗΧΑΝΙΚΗ, Εκδόσεις Γιαχούδη, Θεσσαλονίκη
2. Κ. Χ. Τσίγκανος, ΕΙΣΑΓΩΓΗ ΣΤΗ ΘΕΩΡΗΤΙΚΗ ΜΗΧΑΝΙΚΗ, ΕΚΔΟΣΕΙΣ ΣΤΑΜΟΥΛΗ Α.Ε., Αθήνα