an experimental satelite is placed into a polar ellipical orbit above the earth. both its apogee and perigee are above the equator and the earths centre is the focus of the ellipical orbit. the earths radius is taken ar 6000km. the furthest point of the satellites orbit is 10000km from the earths surface and the nearest approach is 2000km. determine the height of the satellite above each pole.

1. 👍 0
2. 👎 0
3. 👁 64
1. ignoring all those pesky zeros, we can set up the ellipse as follows:
center of earth at (0,0)
perigee at (-8,0)
apogee at (16,0)
center at (4,0)

so, the equation is

(x-4)^2/a^2 + y^2/b^2 = 1

plugging in our points, we have
144/a^2 + 0 = 1
a = 12
a^2-c^2 = b^2
b^2 = 12^-4^2 = 128

so our equation is

(x-4)^2/144 + y^2/128 = 1

Now find the polar altitude (when x=0) ...

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Physics

A 7450kg satellite has an elliptical orbit. The point on the orbit that is farthest from the earth is called the apogee. The point on the orbit that is closest to the earth is called perigee. Suppose that the speed of the

asked by Cavin on February 25, 2007

Q. A satelite is in a circular orbit around the earth with a period of 6.0 hours. A retrorocket thruster is fired which slows the satelite down to half its speed and places it in a new orbit. G = 6.67 x 10 power of -11 N.m2/kg2

asked by orange on October 14, 2008
3. ### physics HELP

A 7450 kg satellite has an elliptical orbit, as in Figure 6.9b. The point on the orbit that is farthest from the earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the

asked by maria on January 26, 2011
4. ### Physics

A 7300-kg satellite has an elliptical orbit, as in the figure. The point on the orbit that is farthest from the earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the

asked by Steven on October 3, 2014
5. ### Physics

A 7300-kg satellite has an elliptical orbit, as in the figure. The point on the orbit that is farthest from the earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the

asked by Steven on October 3, 2014
6. ### Physics

A 7410-kg satellite has an elliptical orbit, as in the figure. The point on the orbit that is farthest from the earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the

asked by Donald on November 11, 2012
7. ### Physics

A 7410-kg satellite has an elliptical orbit, as in the figure. The point on the orbit that is farthest from the earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the

asked by Anonymous on November 12, 2012
8. ### Physics

The shuttle must perform the de-orbit burn to change its orbit so that the perigee, the point in the orbit closest to Earth, is inside of Earth's atmosphere. De-orbit maneuvers are done to lower the perigee of the orbit to 60

asked by Cloud on December 26, 2013
9. ### Physics

The shuttle must perform the de-orbit burn to change its orbit so that the perigee, the point in the orbit closest to Earth, is inside of Earth's atmosphere. De-orbit maneuvers are done to lower the perigee of the orbit to 60

asked by Cloud on December 26, 2013
10. ### College Physics

A satellite in an elliptical orbit has a speed of 9.00km/s when it is at its closes approach to the Earth(perigee). The satellite is 7.00x10^6 m from the center of the Earth at this time. When the satellite is at its greatest

asked by Lelia on November 27, 2012

More Similar Questions