Change of Orbits A spacecraft in a circular orbit wishes to transfer to6another circular orbit of quarter the radius by means of a tangential thrust to move intoan elliptical orbit and a second tangential thrust at the opposite end of the ellipse tomove into the desired circular orbit. The orbits looks like below (the backwards case ofthe example we discussed in class). Find the thrust factors required and show that thespeed in the final orbit is two times greater than the initial speed.PPP

Question
Asked Nov 22, 2019
36 views
Change of Orbits A spacecraft in a circular orbit wishes to transfer to
6
another circular orbit of quarter the radius by means of a tangential thrust to move into
an elliptical orbit and a second tangential thrust at the opposite end of the ellipse to
move into the desired circular orbit. The orbits looks like below (the backwards case of
the example we discussed in class). Find the thrust factors required and show that the
speed in the final orbit is two times greater than the initial speed.
P
PP
help_outline

Image Transcriptionclose

Change of Orbits A spacecraft in a circular orbit wishes to transfer to 6 another circular orbit of quarter the radius by means of a tangential thrust to move into an elliptical orbit and a second tangential thrust at the opposite end of the ellipse to move into the desired circular orbit. The orbits looks like below (the backwards case of the example we discussed in class). Find the thrust factors required and show that the speed in the final orbit is two times greater than the initial speed. P PP

fullscreen
check_circle

Expert Answer

Step 1
help_outline

Image Transcriptionclose

The initial circular orbit has a radius R Eccentricity of the circular orbit e, 0 The final circular orbit has a radius R 4 Eccentricity of the final circular orbit is 22-1 From transfer orbit realation, c, 2R [2] The radius apogee of transfer orbit is RC 1-e 3] use equation [2]and [1 in equation [3] 1-(2 -1) R R. 2-22 2 2 2R3 [4] RR

fullscreen
Step 2

Continuing previ...

help_outline

Image Transcriptionclose

R. 4 R 4 [5] The second transfer takes place at the apogee transfer orbit R+R 12R R R R 4 2R 15 6] By conservation of angular momentum (R.) .(R,) =mv apogee perige 1 apogee 1ege 1. apogee R 1' penge 4 1 apogee [7] 4 1 perige

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Other

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: How do determine how far from the center of a wire carrying a 2.0 A current does the magnetic field ...

A: The magnetic field due to a current carrying wire is

question_answer

Q: The magnitude of a magnetic field a distance 3.0 μm from a wire is 20.0 ⋅ 10-4 T. The wire is the on...

A: Write the expression for magnitude of the magnetic field at a distance from the wire

question_answer

Q: Chapter 15, Problem 026 In the figure, two blocks (m = 2.00 kg and M = 8.00 kg) and a spring (k = 27...

A: Given:Mass of upper box, m = 2 kgMass of lower box, M = 8 kgCoefficient of static friction = 0.440Sp...

question_answer

Q: How long should it take the voices of astronauts on the Moon to reach the Earth? Assume that the onl...

A: The expression for the taken time is,

question_answer

Q: 31 32

A: 31) the expression for the balancing moment with respect to the point where normal force is acting.

question_answer

Q: The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a...

A: Given data:Initial speed of the cheetah, u = 0 km/hFinal speed of the cheetah, v = 88 km/hDistance c...

question_answer

Q: The graph below plots the position versus time for a particular particle moving along the x-axis. Wh...

A: Click to see the answer

question_answer

Q: Two packing crates of masses m1 = 10.0 kg and m2 = 3.70 kg are connected by a light string that pass...

A: Consider the below free-body-diagram for both the blocks.

question_answer

Q: Chapter 15, Problem 039 The balance wheel of a watch oscillates with angular amplitude 0.64n rad and...

A: Given information:Angular amplitude (A) = 0.64π radTime period (T) = 0.68 s