maths 3 advanced
posted by max .
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.

maths 3 advanced 
Steve
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
(x4)^2/a^2 + y^2/b^2 = 1
plugging in our points, we have
144/a^2 + 0 = 1
a = 12
a^2c^2 = b^2
b^2 = 12^4^2 = 128
so our equation is
(x4)^2/144 + y^2/128 = 1
Now find the polar altitude (when x=0) ...
Respond to this Question
Similar Questions

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 satellite … 
Physics/Barycentre
I read the Earth/Moon Barycentre is located 74/100ths from the centre of the earth towards the earths surface. As the moons orbit varies from Perigee to Apogee by more than 30,000 miles I would have thought the Barycentre would move … 
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 … 
physics
Physics Gravitation help...? hello People i need some help with my physics revision sheet. i cant seem to get my head round it. if anyone could help by telling me how to work it out to get the right answer i would be grateful... answers 
Physics help PLZ!!
Estimate the energy required from fuel to launch a 1465 kg satellite into orbit 1375 km above the Earth’s surface. Consider two cases: (a) the satellite is launched into an equatorial orbit from a point on the Earth’s equator, … 
physics
Estimate the energy required from fuel to launch a 1465 kg satellite into orbit 1375 km above the Earth’s surface. Consider two cases: (a) the satellite is launched into an equatorial orbit from a point on the Earth’s equator, … 
Physics
The shuttle must perform the deorbit burn to change its orbit so that the perigee, the point in the orbit closest to Earth, is inside of Earth's atmosphere. Deorbit maneuvers are done to lower the perigee of the orbit to 60 miles … 
Physics
The shuttle must perform the deorbit burn to change its orbit so that the perigee, the point in the orbit closest to Earth, is inside of Earth's atmosphere. Deorbit maneuvers are done to lower the perigee of the orbit to 60 miles … 
Physics
A 7300kg 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 earth … 
Physics
A 7300kg 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 earth …