This chapter introduces the basic principles of dynamics, which are applied to the motion of a vehicle in the space. Since a particle has negligible dimensions, its position in space is completely determined by the radius vector measured from a fixed point at any instant of time. The relationship between the position and velocity described by a vector differential equation is termed the kinematics of the particle. Solving for the motion variables (linear and angular positions and velocities) of a system of n bodies requires a numerical determination of the individual gravity fields of the bodies, as well as an integration of the 6n first‐order, ordinary differential equations governing their motion. The chapter discusses how such differential equations are derived for a body. It assumes that the other n ‐ 1 point masses are densely clustered together to form a body, away from the test mass.
Dynamics
Foundations of Space Dynamics ; 12-40
2021-02-01
29 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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