A thousand years from now, we have interstellar spacecraft, a team finds an artifact the size of a planet but cube-shaped, 15,000 Km across one face and it masses the same as the earth, 6 E24 Kg.
There is no atmosphere. What is the lowest orbit you can safely acheive around such an object? It is homogenous density wise. What is the shape of the orbit?

Originally posted by sonhouse A thousand years from now, we have interstellar spacecraft, a team finds an artifact the size of a planet but cube-shaped, 15,000 Km across one face and it masses the same as the earth, 6 E24 Kg.
There is no atmosphere. What is the lowest orbit you can safely acheive around such an object? It is homogenous density wise. What is the shape of the orbit?

This is unsolvable analytically. It can only be solved numerically by using a computer program using some numerical methods. Hence it is a boring puzzle. Not worth even attempting..

Originally posted by howzzat This is unsolvable analytically. It can only be solved numerically by using a computer program using some numerical methods. Hence it is a boring puzzle. Not worth even attempting..

Originally posted by sonhouse A thousand years from now, we have interstellar spacecraft, a team finds an artifact the size of a planet but cube-shaped, 15,000 Km across one face and it masses the same as the earth, 6 E24 Kg.
There is no atmosphere. What is the lowest orbit you can safely acheive around such an object? It is homogenous density wise. What is the shape of the orbit?

the lowest orbit is just above zero ðŸ™‚ , or h_lowest = sqrt( 7500^2 + 7500^2 ) = 10 607km from the center of the cube, and the shape of the orbit is a superellipse I believe.

Originally posted by sonhouse Each square side is 15,000 Km, about the size of the earth in diameter. So the diagonal would be 15K * Square root of 3 = 25,980 Km and change.

If I'm following along, this would make this 'artifact' less dense than the earth, no?