Transit depth
δ = (Rp/R★)² × I(b)
where I = limb darkening
Depth: - ppm
T_dur: - hrs
Limb darkening:
I(μ) = 1 - u₁(1-μ)
- u₂(1-μ)²
μ = cos(θ)
Mandel-Agol (2002):
exact analytic flux
for uniform + LD disk
TTVs: transit timing
variations → hidden
planets gravitational
perturbations
δ = (Rp/R★)² × I(b)
where I = limb darkening
Depth: - ppm
T_dur: - hrs
Limb darkening:
I(μ) = 1 - u₁(1-μ)
- u₂(1-μ)²
μ = cos(θ)
Mandel-Agol (2002):
exact analytic flux
for uniform + LD disk
TTVs: transit timing
variations → hidden
planets gravitational
perturbations