1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shutvik [7]
3 years ago
11

A spacecraft returning from a lunar mission approaches earth on a hyperbolic trajectory. At its closest approach A it is at an a

ltitude of 5000 km, traveling at 10 km/s. At A retrorockets are red to lower the spacecraft into a 500 km altitude circular orbit, where it is to rendezvous with a space station. Find the location of the space station at retrore so that rendezvous will occur at B.
Physics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

Explanation:

rA= 5000km+6378km=11378 km

rB= 500km+6378km=6878 km

Eccentricity, e=[11378-6878] / [11378 +6878] =0.24649

Evaluating the orbital equation at perigee yields the angular momentum

rB= h22/u * [1/[1+e]]----------------[1]

Pluging the values in equation[1]

6878 km= h22/398600* [1/[1+0.24649]]

we get h2= 58458 km2/s

Period of transfer ellipse, T_{2}=\frac{2\pi }{\mu ^{2}}( \frac{h_{2}}{\sqrt{1-e^{2}}})^{3}

Pugging the values we get , T_{2}=\frac{2\pi }{398600 ^{2}}( \frac{58458}{\sqrt{1-0.24649^{2}}})^{3}=\mathbf{8679.1s}

The period of circular orbit 3 is ,T_{3}=\frac{2\pi }{\mu }*r_{B}^{\frac{3}{2}}

T_{3}=\frac{2\pi }{398600 }*6878^{\frac{3}{2}}=\mathbf{5676.8s}

The time of flight from C to B on orbit 3 must be equal to  time of flight from A to B on orbit 2

\bigtriangleup t_{CB}=\frac{1}{2}T_{2}=\frac{1}{2}*8679.1=4339.5s

here orbit 3 is a circle, hence

You might be interested in
Which of the following is a circuit component whose function includes changing an open circuit to a closed circuit?
blondinia [14]

Answer:

<h2>B. Switch</h2>

Explanation:

<u>A device designed to open or close a circuit under controlled conditions is called a switch. The terms “open” and “closed” refer to switches as well as entire circuits. An open switch is one without continuity: current cannot flow through it.</u>

<h2><u>Hope this helps! Please consider marking brainliest!! </u></h2>
7 0
3 years ago
Read 2 more answers
A force of 100 N acts on a body and moves at a distance of 2 m in the direction of the force. How much work has been done?
Flauer [41]

Answer:

200 joules

Explanation:

work=force×distance

5 0
2 years ago
A symbolic model for learning is a model that is observed in person.
kap26 [50]

Answer:

True

Explanation:

3 0
3 years ago
Read 2 more answers
Sound is faster than light that is why we hear thunder before we see lightning
Umnica [9.8K]

Answer:

false

Explanation:

sound travels slower than light. that is why we see lightning before we hear the thunder

8 0
3 years ago
The idea that earth was the center of the universe is an example of ---that has been long dicarded
Leni [432]

Answer:

Geocentric model of the universe

Explanation:

In the geocentric model of the universe, the earth is the center of the universe. This theory was later replaced by the heliocentric model which places the sun as the center.

This belief was propagated by the ancient Greeks. The geocentric model of the universe was proposed by Ptolemy.

The model suggests that other planetary bodies orbits the earth.

4 0
3 years ago
Other questions:
  • A 1000-kg space probe is motionless in space. to start moving, its main engine is fired for 5 s during which time it ejects exha
    12·1 answer
  • Laws that implemented the consumers' right to be informed forbid __________.
    12·2 answers
  • The image shows streetlights powered by solar panels. Which sequence shows the energy transformation is taking place in these li
    14·2 answers
  • What is the net force? <br><br> URGENT! thank you
    8·1 answer
  • A rectangular coil with dimensions 0.14 m 0.14 m by 0.27 m 0.27 m has 550 550 turns of wire. It is rotated about its long axis i
    6·1 answer
  • A 600 N astronaut travels to an asteroid where the gravitational force is one-hundredth that of Earth. What is the astronaut's w
    11·1 answer
  • The orbital radius of the Earth (from Earth to Sun) is 1.496 x 10^11 m.
    10·1 answer
  • Tina just threw a 0.15 kg ball straight up in the air. If the ball reaches
    11·1 answer
  • A ball of mass 45kg thrown upward with a velocity of 40m/s
    8·1 answer
  • What are differences between an entrepreneur and an employee<br>​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!