#### FORMULA's:
Formulas for some of the characteristics that can be derived from a light curve of an exoplanet:
1. **Transit Depth (D):**
- Definition: The percentage of the host star's light that is blocked by the exoplanet during its transit.
- Formula: D = (F₀ - Fₜ) / F₀ * 100
- Where F₀ is the initial brightness of the star and Fₜ is the brightness during the transit.
2. **Planet Radius (Rp):**
- Definition: The radius of the exoplanet.
- Formula: Rp = Rₛ * √(D/100)
- Where Rₛ is the radius of the host star.
3. **Transit Duration (T):**
- Definition: The time taken for the exoplanet to cross in front of its host star.
- Formula: T = (P / π) * arcsin(√((1 + Rp/Rₛ)^2 - b²) / sin(i))
- Where P is the orbital period of the planet, b is the impact parameter, and i is the orbital inclination.
4. **Impact Parameter (b):**
- Definition: A measure of how central the transit is.
- Formula: b = a * cos(i) / Rₛ
- Where a is the semi-major axis of the planet's orbit, and i is the orbital inclination.
5. **Orbital Eccentricity (e):**
- Definition: A measure of how elliptical the planet's orbit is.
- Formula: e = (T₁ - T₂) / (T₁ + T₂)
- Where T₁ and T₂ are the durations of ingress and egress, respectively.
6. **Phase Curve Amplitude:**
- Definition: The difference in brightness between the star's maximum and minimum brightness during one orbit.
- Formula: Amplitude = (F_max - F_min) / F_avg
- Where F_max is the maximum brightness, F_min is the minimum brightness, and F_avg is the average brightness.
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