Can you find the mass of the exoplanet?

The orbit's eccentricity

e = [sin(½Dₑ₀)/sin(½Dₑ₁)−1] / [sin(½Dₑ₀)/sin(½Dₑ₁)+1]

e = 0.1488

The planet's equatorial radius

Rₑ = 2h₀ / {(1−e)[csc(½Dₑ₀)+csc(½Dₑ₁)] − 2}

Rₑ = 8687064 meters

The orbit's periapsis radius

r₀ = Rₑ+h₀

r₀ = 61255282 meters

The orbit's semimajor axis

a = r₀/(1−e)

a = 71963442 meters

The planet's average radius

R = Rₑ ∛{sin(½Dᵨ₀)/sin(½Dₑ₀)}

R = 8678368 meters

The planet's geometric volume

V = (4π/3)R³

V = 2.737807e+21 m³

The planet's average density

ρ = 3πa³/(GP²R³)

ρ = 6903.026 kg m⁻³

The planet's mass

M = ρV

M = 1.889915e+25 kg

The orbit's apoapsis radius

r₁ = a(1+e)

r₁ = 82671602 meters

Orbital speed at periapsis, relative to the planet's center

v₀ = √[GM(2/r₀−1/a)]

v₀ = 4863.786 m/s

Orbital speed at apoapsis, relative to the planet's center

v₁ = √[GM(2/r₁−1/a)]

v₁ = 3603.808 m/s

The planet's polar radius

Rᵨ = R³/Rₑ²

Rᵨ = 8661002 meters

The planet's oblateness

f = 1 − Rᵨ/Rₑ

f = 0.003

The planet's surface gravity at the equator, assuming that it isn't rotating

g = GM/Rₑ²

g = 16.71483 m/s²

The planet's escape speed from the surface at the equator

v = √(2GM/Rₑ)

v = 17041.292 m/s

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