Tides in Binary Star Systems - Lecture 1

Explore the physics of tides in binary star systems in this comprehensive lecture from the Summer School on Gravitational-Wave Astronomy. Delve into the intricacies of gravitational wave signals, Newtonian theory, and mass multipole moments. Learn about Taylor expansions, symmetric trace-free tensors, and the relation between spherical harmonics and Cartesian coordinates. Gain insights into the potential in a star's exterior and its implications for binary systems. This lecture, delivered by Tanja Hinderer from the Max Planck Institute for Gravitational Physics, is part of a broader program covering various aspects of compact objects and gravitational wave astronomy.

Syllabus

Summer School on Gravitational - Wave Astronomy
Tides in binary star systems Lecture 1
Gravitational wave signal
Interpretation: precise theoretical prediction
Other objects
Newtonian theory
Useful identity
Taylor expansion of some field Phix around z
Symmetric trace-free tensor
For any tensor TL
Check
Mass multipole moments
Example of multipole moments
In spherical coordinates
Relation between n Land Yemtheta, phi:
Example: relation between ni and Yimtheta, phi for i=x
Potential in A's exterior