Question

. For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometers above the equator. Write an equation for the orbit of the satellite. Use the center of Earth as the origin and 6 400 kilometers for the radius of Earth.​

Answer 1

Answer:

For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometers above the equator. Write an equation for the orbit of the satellite. Use the center of Earth as the origin and 6 400 kilometers for the

Step-by-step explanation:

1. For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometers above the equator. Write an equation for the orbit of the satellite. Use the center of Earth as the origin and 6 400 kilometers for the
2. For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometers above the equator. Write an equation for the orbit of the satellite. Use the center of Earth as the origin and 6 400 kilometers for the
3. For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometers above the equator. Write an equation for the orbit of the satellite. Use the center of Earth as the origin and 6 400 kilometers for the
4. For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometers above the equator. Write an equation for the orbit of the satellite. Use the center of Earth as the origin and 6 400 kilometers for the

Answer 2

Given:

For a satellite to remain in a circular orbit above the same spot on Earth, the satellite must be 35 800 kilometres above the equator.

To Find:

Write an equation for the orbit of the satellite. Use the centre of Earth as the origin and 6 400 kilometres for the radius of Earth.​

Solution:

A circle is defined as the figure whose every point on the line is equidistant from a point which is termed as the centre of the circle. The longest distance from one point to the other on the circumference of the circle is called the diameter and half of the diameter is the radius of the circle.

For a circle with radius 'r' and a point (x,y) on the circle then the equation of the circle can be written as,( if the centre is the origin)

$x^2+y^2=r^2$

Now the radius, in this case, will be the combined distance of the radius of the earth and the distance of the satellite from the equator which will be,

r=35800+6400

=42200km

So now the equation the orbit will be,

$x^2+y^2=42200^2$

Hence, the equation of the orbit is $x^2+y^2=42200^2$.