Given:
Hyperbola
a=55,000 km and c=81,000 km
hyperbola is the origin and the transverse axis is horizontal
Required:
Equation of the path of a satellite
Solution:
Formula for hyperbola, (x-h)2/a2 – (x-k)2/b2 = 1
At origin, (h, k) = (0, 0)
(x-0)2/(55000)2 – (x-0)2/(81000)2 = 1
X2/12100 – y2/26244 = 250000
Answer:
x^2/5500^2-y^2/(3536000000)=1
Step-by-step explanation:
c^2=a^2+b^2 81000^2=55000^2+b^2
b^2=3536000000, b=4000sqrt(221)
