Abstract: The vacuum ballistics is the most fundamental problem of the exterior ballistics and Its exact explicit solution can be solved without thrust when any variable is taken as an independent variable，but it is not solved with thrust. No doubt, this is a fundamental problem needed to be solved in the theoretic exterior ballistics. In this paper, when the thrust acceleration is a constant, the exact explicit solution of the vacuum exterior ballistics is given with the inclination as an independent variable; and analytic formula is given with an universal form for shells, rockets and rocket-boosted projectiles. Moreover，the possibility of the explicit solution with other variables as independent variable outside the inclination is also discussed.