Educational objectives GENERAL OBJECTIVES:
The course aims to describe the basics of optics for application of sky observations. At the end of the course, students will gain a deep knowledge of the impact of aberrations and diffraction in the final performance of a telescope by a quantitative evaluation. Students will be able to put into practice what they have learned during the course by working in teams by using an optical design and optimization commercial program.
SPECIFIC OBJECTIVES:
A - Knowledge and understanding
OF 1) To know and to strengthen the basics of geometrical, physical and gaussian optics.
OF 2) To understand how to recover and to quantify the defects present in telescope’s images and how to treat them.
OF 3) To know the main figures of merit to compare and to evaluate between them different instruments.
B - Application skills
OF 4) To be able to apply what has been acquired by drawing, optimising and analysing the performance of a chosen telescope with the academic licence of one of the most used optics code.
OF 5) To be able to work in a team by sharing the activities, search of data and analysis.
D - Communication skills
OF 7) To know how to communicate the main logical steps of their study and how it has been faced by reporting to the other students the results.
E - Ability to learn
OF 8) Have the ability to consult web sites and papers to integrate what has been learned during the course and to recover all the necessary information to study an optical instrument.
OF 9) Have the ability to evaluate autonomously the performane of one specific optical instrument.
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Educational objectives GENERAL OBJECTIVES::
Providing a knowledge of astrophysical problems connected to the study of the gravitational
potential. Such knowledge will leads the students to understand the calculation of a density profile
starting from the gravitational potential and viceversa. Particular attention will be addressed to
calculation of gravitational potential of a generic distribution of matter by a development in series
of Legendre Polynomials.
SPECIFIC OBJECTIVES:
A - Knowledge and understanding
OF 1) To know the properties of homogeneous spheroids
OF 2) To understand the procedures underlying the calculation of the gravitational potential of any
matter distribution by development in spherical harmonics.
B - Application skills
OF 3) To be able to calculate a development in spherical harmonics.
C - Autonomy of judgment
OF 4) To be able to integrate the knowledge acquired in order to apply them in the more general
context connected with gravitational waves and cosmology
D - Communication skills
E - Ability to learn
OF 5) Have the ability to consult scientific articles in order to independently investigate some topics
introduced during the course.
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Educational objectives GENERAL OBJECTIVES:
Aim of the course is to deepen the knowledge of theoretical aspects of the theory of gravity and of its most important applications in astrophysics: phenomenology of gravitational wave sources, neutron
stars and black hole structure and properties.
SPECIFIC OBJECTIVES:
A - Knowledge and understanding
OF 1) To know the quadrupole formalism and to understand how gravitational radiation reaction affects the evolution of a compact binary system and of a rotating compact star
OF 2) To understand which quantities can be measured using the detection of gravitational waves
OF 3) To know the final stages of stellar evolution as a function of the mass, which is the structure of a whith dwarf and how can it be determined. To understand the concept of critical mass.
OF 4) To know how the equations of Thermodynamics have to be modified in General Relativity.
OF 5) To know how the structure of a neutron star can be determined using the theory of General Relativity
OF 6) To understand the complex phenomenology associated to the motion of bodies and light around a rotating black hole, and some of the astrophysical phenomena involved in these processes.
OF 7) To know how the Einstein equations can be derived using a variational approach.
OF 8) To know how to derive the geodesic equations for a Kerr black hole, discuss their properties in the equatorial plane, both for massive and massless particles.
OF 9) To understand the process of extraction of energy by a rotating black hole
(Penrose's process).
B - Application skills
OF 10) To be able to apply the quadrupole formalism to determine the gravitational waveforms emitted by source in the regime of weak field and slow motion. In particular, to be able to compute the gravitational waveforms emitted by binary systems formed by black holes and neutron stars, and by rotating neutron stars.
OF 11) To be able to compute, for assigned equations of state of nuclear matter, the inner structure of a neutron star, by integrating Einstein's equations, finding the mass and radius of the star.
OF 12) To be able to discuss the mass-radius or mass-central density diagrams for a star, identifying the instability regions.
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C - Autonomy of judgment
OF 13) To be able to integrate the knowledge acquired in advanced Theoretical Physics courses, such as Quantum Gravity, Alternative Theories of Gravity, String Theory
OF 14) To be able to integrate the knowledge acquired in advanced Relativistic Astrophysics courses
D - Communication skills
E - Ability to learn
OF 15) Have the ability to read scientific papers in order to further explore some of the topics introduced during the course.
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