IPhO 2018 — Teorica — A1

LIGO-GW150914 (10 punti)

Theory A1-1 Italian (Italy) LIGO-GW150914 (10 punti) Parte A: Orbite (stazionarie) newtoniane (3.0 punti) A.1 (1.0 pt) n=

α= A.2 (1.0 pt) A(μ, $\Omega$, L) = A.3 (1.0 pt) β= Parte B: Introduzione della dissipazione relativistica (7.0 points) B.1 (1.0 pt) k=

a1 = a2 = a3 =

b1 = b2 = b3 =

c12 = c13 = c23 =

c21 = c22 = c23 =

c31 = c32 = c33 = B.2 (1.0 pt) ξ= B.3 (1.0 pt) Mc=

Theory A1-2 Italian (Italy) B.4 (2.0 pt) p= B.5 (1.0 pt) Mc $\simeq$ $M\simeq$ B.6 (1.0 pt) Lcollision $\simeq$ R⊙ Rmax $\simeq$ vcol $c\simeq$

Topic: Gravitation, Special Relativity, Newtonian Mechanics Metodi: Newton’s Law of Gravitation, Kepler’s Laws, Conservation of Energy, Dimensional Analysis, Approximation & Series Expansion Competenze: Mathematical Modeling, Physical Reasoning, Estimation & Approximation Objects: Black Hole Fonte: Testo (PDF) — p.1

LIGO-GW150914 (10 points)

Theory A1-1 Italian (Italy) LIGO-GW150914 (10 points) Part A: Newtonian (stationary) orbits (3.0 points) A.1 (1.0 pt) n = α = A.2 (1.0 pt) A(μ, $\Omega$, L) = A.3 (1.0 pt) β =

Part B: Introduction of relativistic dissipation (7.0 points) B.1 (1.0 pt) k = a1 = a2 = a3 = b1 = b2 = b3 = c12 = c13 = c23 = c21 = c22 = c23 = c31 = c32 = c33 = B.2 (1.0 pt) ξ = B.3 (1.0 pt) Mc =

Theory A1-2 Italian (Italy) B.4 (2.0 pt) p = B.5 (1.0 pt) Mc $\simeq$ $M\simeq$ B.6 (1.0 pt) Lcollision $\simeq$ R⊙ Rmax $\simeq$ vcol $c\simeq$