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The BEYOND project is composed by 12 space sta- tions orbiting around earth and forming 15 times a day an icosahedron. The latter is alligned with another icosahe- dron on terrestrial surface structuring a global transporta- tion system linking earth with space.


There will be a primary orbit in which there are 4 satellites, the first one (all at a time t0) will be at the north pole and the other one at 24,7°, 180° and 204,7° south respectively. The other four orbits will be at a 72° angle with respect to the other ones. The altitude of these orbits will be of 574 km above the surface, in order to have a particu- lar period. Since it is supposed to be a circular orbit, the velocity they need to have is inversely proportional to the square root of the distance from the center of the Earth: 7,57 km/sec. Consequently, the period of the orbit (time expressed in seconds of the passage of one station in the same point), will be 96 minutes. In this way, there will be an accurate tracking of the stars in the celestial sphere, since the constellation will form an Icosahedron 15 times during one period.


It is assumed that for the purpose of this mission, the plan- etarium will provide energy for life support of 12 people and for electric devices installed. It is also assumed that such energy budget will be two times the energy provided by solar panels in the International Space Station (ISS). Such value is around 960 kW. Including a space telescope for the star tracking which will be approximately 5 times the one of the Hubble Space Telescope (2,4m diameter and 2,8 kW of power required), we reach a value of 1 MW of power required for the mission.

Since the Solar radiation at a distance of 1 AU (1.5*1011 m) is approximately 1370 W/m2, to provide the energy (per unit time) required, the solar panels will need to have an area of 2433 m2.
In order to maximize the profits every space planetarium will generate more power in order to send the surplus back Earth through microwaves.
A similar project has been developing at the Japanese Space Agency (JAXA). In order to achieve this objective, solar panels will be of the order of 5000 m2 (the power generated in every station will be 2.05 MW for a total of
24.7 MW of power that is transmitted back to Earth).


From the geometry of an Icosahedron we have that it is very unlikely the possibility of a construction inside of the earth with its vertices on the surface, since the maximum depth will be well inside the Earth’s Mantle.
For this reason, the internal structure of the material transportation system inside the Earth will be rounded.