After achieving the space X missions, the space shuttle carry the crewed capsule back to earth. Well above earth's atmosphere, at height h, its thruster launch the crewed capsule at speed vo with elevation angle a relative to local horizon (refer to Figure 1). Derive the equation of motion of the crewed capsule using (a) Newtonian mechanics, (b) Lagrange's methods, and (c) Hamiltonian method.
After achieving the space X missions, the space shuttle carry the crewed capsule back to earth. Well above earth's atmosphere, at height h, its thruster launch the crewed capsule at speed vo with elevation angle a relative to local horizon (refer to Figure 1). Derive the equation of motion of the crewed capsule using (a) Newtonian mechanics, (b) Lagrange's methods, and (c) Hamiltonian method.
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Transcribed Image Text:earth surface
Figure 1.
After achieving the space X missions, the space shuttle carry the crewed
capsule back to earth. Well above earth's atmosphere, at height h, its
thruster launch the crewed capsule at speed vo with elevation angle a
relative to local horizon (refer to Figure 1).
Derive the equation of motion of the crewed capsule using (a) Newtonian
mechanics, (b) Lagrange's methods, and (c) Hamiltonian method.
Note: You may use plane polar coordinates coincide with Cartesian's xz
plane.
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