The satellite orbit is characterized by e = 0.508 and a/R = 3.34, and its launch point was r0/R = 2.0, Θ = 62°23′. If the satellite continues along this orbit to Θ= 150°, at which time the orbit is to be increased to a value a/R = 3.60 without rotating the apse line, determine the required increment in the velocity and its direction.
The Cessna Cardinal, a single-engine light airplane, has a wing with an area of 16.2 m2 and an aspect ratio of 7.31. Assume that the span efficiency factor is 0.62.
Investigate the principles of aerodynamics in mechanical engineering, covering topics such as fluid flow around objects, lift and drag forces, and boundary layer phenomena.
Consider an airplane in an accelerated climb. At a given instant in this climb, the specific excess power is 120 ft/s
Consider an airplane flying at 620 mi/h at 35,000 ft. Calculate its energy height.
For a turbojet-powered airplane with the altitude variation of thrust given by Eq. (3.19), show that as the altitude increases, the maximum velocity decreases.
Why are International Space Station occupants weightless ?
Calculate the orbital and escape velocity from earth, mass of earth is \(5.9722 \times {10^{24}}\,kg\) and radius is \(6.378 \times {10^6}\,m\).
A communication satellite orbiting around earth has an eccentricity of \(0.0014\). Find the time period of the satellite, altitude at apogee and velocity at perigee, if the satellite has an altitude of \(400\,km\) at perigee from the surface of the earth.
Determine the differential equation for small oscillations about a circular orbit when the attractive force is -K/r².
