A rocket in free flight is approaching a planet of mass M as shown above. Free flight means that the rocket is only subjected to the force by the planet. The rocket is initially travelling on a trajectory T with eccentricity e. At A, the rocket turns on very briefly its engine to change velocities to switch to an elliptical path from A to B. Then, from A to B, the rocket is again in free flight. We are given that A is a point of closest approach for the trajectory T. Find the change of velocity at A (write it as vfinal - vinitial where vfinal is the velocity at A on the elliptical path A to B, and vinitial is the velocity at A on the trajectory T) Find the velocity at B. Take R = 15 x 106 m , r = 54 x 105 m, M = 1025 kg, and e = 1.4
A rocket in free flight is approaching a planet of mass M as shown above. Free flight means that the rocket is only subjected to the force by the planet. The rocket is initially travelling on a trajectory T with eccentricity e. At A, the rocket turns on very briefly its engine to change velocities to switch to an elliptical path from A to B. Then, from A to B, the rocket is again in free flight. We are given that A is a point of closest approach for the trajectory T. Find the change of velocity at A (write it as vfinal - vinitial where vfinal is the velocity at A on the elliptical path A to B, and vinitial is the velocity at A on the trajectory T) Find the velocity at B. Take R = 15 x 106 m , r = 54 x 105 m, M = 1025 kg, and e = 1.4
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A rocket in free flight is approaching a planet of mass M as shown above.
Free flight means that the rocket is only subjected to the force by the planet.
The rocket is initially travelling on a trajectory T with eccentricity e.
At A, the rocket turns on very briefly its engine to change velocities to switch to an elliptical path from A to B.
Then, from A to B, the rocket is again in free flight.
We are given that A is a point of closest approach for the trajectory T.
- Find the change of velocity at A (write it as vfinal - vinitial where vfinal is the velocity at A on the elliptical path A to B, and vinitial is the velocity at A on the trajectory T)
- Find the velocity at B.
Take R = 15 x 106 m , r = 54 x 105 m, M = 1025 kg, and e = 1.4
Transcribed Image Text:part of the
ellipse
going through
A and B
A
B
0.
rocket
trajectory
with
eccentricity
e
R
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