Waste less time on Facebook — follow Brilliant.
×

Spaceship trajectory

For entering a circular orbit around another planet, a spacecraft must change its trajectory upon arrival; otherwise it will fly past the planet. If this trajectory change is done with a rocket engine alone, the fuel required for this can contribute significantly to the cost of the mission. However, if the spacecraft’s trajectory carries it through the atmosphere of the planet, then the resulting drag can significantly reduce the amount of fuel required. Consider a 2,500 kg spacecraft to be sent to the planet Neptune, arriving at a speed of 30 km/s. How much margin of error would be allowed in designing a trajectory through the outer atmosphere of Neptune which would save a significant amount of fuel?

The problem was asked in UPh Competition. I can't understand how drag can reduce energy. If viscous drag is there, it would require more energy to accelerate!!What is margin of error?

Note by Subhajit Sinha
3 years, 11 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...