Constants

The values for a number of physical constants used in the problem description are in the table below: $$ \begin{array}{lll} \hline & Value & Units \\ \hline \alpha & 2.0 \cdot 10^{-6} & \mbox{MEUR} / Kg^2 \\ c_m & 45 & \mbox{MEUR} \\ c_M & 55 & \mbox{MEUR} \\ \Delta t_R & 30 & days \\ \Delta t_M & 30 & days \\ t_w & 5 & days \\ TOF & 8 & years \\ m_{de} & 30 & Kg \\ m_{dry} & 2000 & Kg \\ m_{p} & 5000 & Kg \\ r_{p_m} & 6600000 & m \\ \mu & 398600.4418 \cdot 10^{9} & m^3/sec^2 \\ J_2 & 1.08262668 \cdot 10^{-3} & - \\ r_{eq} & 6378137 & m \\ I_{sp} & 340 & sec \\ g_0 & 9.80665 & m / sec ^2\\ \epsilon_r & 100 & m\\ \epsilon_v & 1 & m / sec\\ \epsilon_m & 1E-8 & Kg\\ \mbox{Day} & 86400 & sec \\ \mbox{Year} & 365.25 & days \\ \hline \hline \end{array} $$

The epoch used in all GTOC files is the Modified Julian Date 2000 [MJD2000] and its definition with respect to the Julian Date [JD] and the Modified Julian Date [MJD] is reported below for convenience:

JD = MJD2000 + 2451544.5

MJD = MJD2000 + 51544