Parabolic and hyperbolic orbits are unbound: the body will orbit its parent body once, then move off toward infinity, leaving the vicinity of the parent body forever. An elliptical orbit is one in whi...Parabolic and hyperbolic orbits are unbound: the body will orbit its parent body once, then move off toward infinity, leaving the vicinity of the parent body forever. An elliptical orbit is one in which the body orbits its parent body, with the parent at one of the foci of the ellipse. In a hyperbolic orbit, the body orbits its parent once along one of the branches of the hyperbola, with the parent body at the focus of that branch of the hyperbola.
The difference between the two paths is due to air resistance acting on the object, →Fair=−bv2ˆv, where ˆv is a unit vector in th...The difference between the two paths is due to air resistance acting on the object, →Fair=−bv2ˆv, where ˆv is a unit vector in the direction of the velocity. (For the orbits shown in Figure 5.1,b=0.01N⋅s2⋅m−2, |→v0|=30.0m⋅s, the initial launch angle with respect to the horizontal θ0=21∘ an…
