The space shuttle is launched into the circular orbit of 250 km altitude. The target, space station, is 10 degree ahead of the space shuttle in the same orbit. Please suggest the phasing maneuver of the space shuttle to catch up with the space station and stay in the same orbit. If the atmosphere is 31-km thick (enclosing 99 percent of its mass), will the perigee of the phasing orbit enter the atmosphere?

Constants given: =3.9860110⁵ km³/s² =6.37813710³ km