Quasi-level flight performance of a rocket powered vehicle under suitable thrust command in a non homogeneous atmosphere

2019-09-01T08:53:14+00:00

In the first section of the paper a rocket powered aircraft is constrained to fly in a rectilinear path of a very small inclination with respect to the horizon by exerting necessary thrust control .For such a typical maneuver, velocity-time, velocity-altitude and velocity- horizontal distance distributions have been established. Final payload ratio is also found .In the second section the aircraft is maneuvered with constant velocity along a rectilinear path of the same nature which calls for continuous variation of both angle of attack and thrust and the dimensionless thrust is found to obey exponential law with respect to time. In the third section of the paper is considered that the vehicle moves with constant dynamic pressure, which also entails continuous variation of the thrust and angle of attack .Either of lift coefficient and pay load ratio is found to satisfy a linear differential equation which can be solved by approximate-procedures depending on the values of drag and lift coefficient. In each section a parabolic drag with constant coefficients is considered and the load factor is maintained equal to the unity to yield a rectilinear path.

Rocket performance with constant radial thrust acceleration in vacuum

2019-09-01T08:53:15+00:00

In this paper is first found out the approximate altitude attained by the spacecraft in vacuum at any time after it is subjected to a constant radial thrust acceleration in vacuum, i.e., a variable thrust designated by constant thrust-to- weight ratio in the radial direction. The mass-variation law due to propellant consumption and the trajectory of the spacecraft in elliptic integral form in the neighborhood of the Earth and thereafter in normal integral form with sufficient accuracy are determined.

Journal of Advanced Mathematics

Quasi-level flight performance of a rocket powered vehicle under suitable thrust command in a non homogeneous atmosphere

Rocket performance with constant radial thrust acceleration in vacuum