translunar injection from a circular Earth park orbit

[cdeaglejr]

This HP Prime program can be used to estimate the delta-v required to reach the moon. The algorithm assumes the translunar injection occurs impulsively from a circular Earth orbit.

The user provides an initial departure calendar date according to

// departure calendar date

month := 9;

day := 1;

year := 2013;

The park orbit semimajor axis and orbital inclination are also required; for example

/////////////////////
// initial park orbit
/////////////////////

// semimajor axis (kilometers)

oev_po(1) := req + 185.32;

// orbital eccentricity (non-dimensional)

oev_po(2) := 0.0;

// orbital inclination (degrees)

oev_po(3) := 28.5 * dtr;

Finally, the software requires the user to define the transfer time from Earth to the moon in hours.

// time-of-flight in hours

tof_hours := 84.0;

The PDF document included with the zip archive explains the assumptions and algorithms used to solve this classic orbital transfer problem.