Theoretic it is possible, but the difficulty on the technology is great.
Above all we will simplify the problem, take no account of the size of man-made planet, need type man-made planet and earth one case to circle sun revolution to go on earthly revolution orbit only. This actually not difficult, having a lot of man-made celestial body at present is circling sun revolution. E.g. the famousest SOHO satellite. The Chinese full name of SOHO satellite is the sun and detector of day ball layer, reach American aerospace total office by European spaceflight bureau joint research and development, blast off 1995.
SOHO satellite is located in on the dot of the first Lagrange of the sun and earth, the revolution orbit apart of its revolution orbit and earth 1.5 million kilometre, the revolution cycle of revolution cycle and earth is identical. SOHO satellite still does not calculate the track that shares the earth truly, but open general to strap aerospace binoculars to accomplish. Open general to strap aerospace binoculars to be designed by bureau of American country aerospace, with the terrestrial planet outside discover solar system, blasted off 2009. The revolution course that flies general to strap aerospace binoculars is basic the revolution orbit coincide with the earth, follow in the earth rear circle sun revolution.
If want,be built and the man-made planet with euqally great world, that difficulty will leap. Volume is large, quality also went up accordingly, and quality one big, a lot of problems also came along accordingly. The first, where does so great quality go searching? earthly hollow? The 2nd, after man-made planet has been built, how to send orbit it? This is sure to waste huge energy. The 3rd, spherical measure one big, a problem needs a consideration, that is Luo Xi limit.
Before two problems can pass the method on the design to solve, e.g. , the material of use high strenth makes a hollow planet, such quality will be reduced greatly, but this was building a respect to again new issue needs to solve.
