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Chapter 8: Problem 7

Why are satellites generally launched eastward and from low latitudes?

Short Answer

Expert verified
Satellites are generally launched eastward and from low latitudes mainly due to Earth's rotation and the physics involved in reaching orbit. The Earth's rotational speed provides a 'boost' in speed when launching eastward, especially at the equator where this speed is maximum. This reduces the fuel required for launch, making it more cost-effective and fuel-efficient.

Step by step solution

01

Understanding Earth's Rotation

The first point to understand is that Earth rotates on its axis from west to east. This rotation means that any point on the Earth's surface is already moving at a certain speed towards the east, and this speed is maximum at the equator.
02

Connecting to Satellite Launch

When a satellite is launched eastward, it can use this rotational speed of Earth to help it reach the speed necessary to enter orbit. This is a more efficient use of fuel and energy, as less is needed to achieve the required speed.
03

Role of the Equator

Satellites are launched from low latitudes, preferably near the equator because the speed is fastest here due to Earth's bulge at the equator. This means you get a 'speed boost' that helps the satellite reach its required speed for orbit.
04

Lowering Costs and Fuel Efficiency

Lastly, the less fuel needed to reach orbit, the cheaper and more efficient the launch. Therefore, launches are often scheduled from low latitude, eastward-facing launch sites to take full advantage of the Earth's rotational speed.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Earth's Rotation
The Earth spins constantly on its axis, completing one full rotation from west to east approximately every 24 hours. This natural spin means that all points on Earth are moving eastward at various speeds.
The speed at which different locations on Earth's surface move varies with latitude. Near the equator, the rotational speed is greatest, reaching about 1670 kilometers per hour (1037 miles per hour).
As you move towards the poles, this speed decreases until it's virtually zero directly at the poles.
  • This rotational movement is a key factor in launching satellites as it provides a natural boost when launching eastward.
  • Utilizing the Earth's rotation can save significant amounts of fuel during a satellite launch.
Orbital Mechanics
Orbital mechanics, also known as astrodynamics, is a field of physics that studies the motion of objects in space. Understanding these principles is crucial for satellite launches, as they determine how to reach the desired orbit efficiently.
Key concepts in orbital mechanics include velocity, trajectory, and gravity.
Essentially, the launch vehicle must reach a specific velocity to place a satellite into orbit, overcoming Earth's gravitational pull.
  • An eastward launch, in alignment with Earth's rotation, assists in achieving higher initial velocity.
  • This is due to the added rotational speed of the Earth.
  • A successful orbital insertion saves fuel and energy because less additional speed from the launch vehicle is required.
Fuel Efficiency
Fuel efficiency is a critical component in the cost and design of satellite launches. It's about optimizing the amount of fuel required to place a satellite into space.
Using Earth's rotational speed efficiently can greatly enhance fuel efficiency. By launching eastwards at low latitudes, rockets require less additional speed to reach orbit.
This approach reduces the amount of fuel needed.
  • Fuel-efficient launches are more cost-effective and environmentally friendly.
  • They allow for heavier payloads to be carried than would otherwise be possible with the same fuel amount.
  • Overall, improving fuel efficiency minimizes the total cost of the launch.
Equatorial Launch Sites
Choosing launch sites near the equator offers numerous advantages for satellite missions. These sites benefit directly from the maximum speed boost due to Earth's rotation.
The equator is the widest part of the Earth's surface, enhancing the rotational speed effect. Therefore, launching from a site nearer to the equator means satellites need less additional speed to reach orbit.
This choice helps in conserving fuel and reducing costs significantly.
  • Equatorial launch sites also provide more flexibility in achieving different types of orbits.
  • For geostationary satellites, which orbit the Earth above the equator, launching as close as possible to this line is ideal.
  • All these factors make equatorial sites particularly attractive for launching satellites efficiently and economically.

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Most popular questions from this chapter

Neglecting Earth's rotation, show that the energy needed to launch a satellite of mass \(m\) into circular orbit at altitude \(h\) is \(\left(\frac{G M_{\mathrm{E}} m}{R_{\mathrm{E}}}\right)\left(\frac{R_{\mathrm{E}}+2 h}{2\left(R_{\mathrm{E}}+h\right)}\right)\)

Find the altitude and speed of a spacecraft in stationary orbit above Mars' equator (this is analogous to a geostationary orbit at Earth and is called an areostationary orbit).

Does the gravitational force of the Sun do work on a planet in a circular orbit? In an elliptical orbit? Explain.

If you're standing on the ground \(10 \mathrm{~m}\) directly below the center of a spherical water tank containing \(3 \times 10^{6} \mathrm{~kg}\) of water, by what fraction is your weight reduced due to the water's gravitational attraction?

Exact solutions for gravitational problems involving more than two bodies are notoriously difficult. One solvable problem involves a configuration of three equal-mass objects spaced in an equilateral triangle. Forces due to their mutual gravitation cause the configuration to rotate. Suppose three identical stars, each of mass \(M\), form a triangle of side \(L\) Find an expression for the period of their orbital motion.
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