Parametric equation for the settlement of mars

The colonization of Mars has been addressed by many authors but there is still a lack of methodology to determine its feasibility in terms of costs and logistics. We propose a new approach based on a mathematical model of the required payload mass per year that has to be sent to Mars to sustain the life of the settlers during the long period of development of the colony that precedes the self-sufficiency capability. As the required mass is highly dependent on the available working time of the settlers, it is suggested to transform the mass estimation problem into the estimation of the annual missing time to produce all objects needed for the daily life of the settlers. The annual missing time is calculated using five parameters. The first is the number of settlers. The second is the working time capacity per person. The third is an estimate of the total time per person and per year that is required to produce all objects needed for a single person. The fourth is called the sharing factor and is a function of the number of settlers. The fifth parameter allows the conversion of the annual missing time into an annual mass of payload. .