Dt, t_i

The first calculation we will do with the observations is to find the difference in time between the first and second observations and the second and third observations, respectively:

Dt₂₁ = t₂ - t₁
Dt₃₂ = t₃ - t₂
Dt₃₁ = t₃ - t₁

Dt₂₁ = 328.22 seconds
Dt₃₂ = 341.78 seconds
Dt₃₁ = 670.00 seconds

The values of Dt₂₁, Dt₃₂ and Dt₃₁ will now be used to find the first values that we will require to find the second geocentric range of the satellite (at time t₂):

t₁ = Dt₃₂ / Dt₃₁
t₂ = t₁ [ (Dt₂₁)(Dt₃₁ + Dt₃₂) ] / 6
t₃ = Dt₂₁ / Dt₃₁
t₄ = t₁ [ (Dt₂₁)(Dt₃₁ + Dt₂₁) ] / 6

t₁ = 0.5101194
t₂ =  28233.955 s²
t₃ = 0.4898806
t₄ = 27855.560 s²

BACK TO STEP #1

PROCEED TO STEP #3