The Solar System Flashcards
What is the Prot Pday equation?
1/Prot = 1/Pday + 1/Porb
Prot= sidereal
Pday and Porb = synodic
What is the outer inner planet equation?
1/Psyn = 1/Pi - 1/Po
Psyn = synodic (solar)
Pi and Po = sidereal
What is the equation for eccentricity?
e = f/a
What is the equation for the semi minor axis?
b = a root 1 - e^2
What are the equations for perihelion and aphelion distances?
Perihelion d = a(1-e) = closest d
Aphelion d = a(1+e) = furthest d
Keplers third law?
P^2 = k a^3
Where k= 4 pi^2 / G Solar Mass
What is vrms?
Vrms = root 3kT/m
Where m is particle mass
What is the escape velocity limit?
Root 2GM/R > 6 root 3kT/m
What is the equation for tidal force?
Tidal force = 2GMmx/ d^3
What is the Roche limit?
d = (2M/m) ^1/3