SOLUTION: Can someone please help... Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyper

Question 719649: Can someone please help...
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal. Can someone please help me with this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can someone please help...
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal.
---------------------
Vertex(55,000,0)
Focus (81,000,0)
----
c^2 = a^2 + b^2
81000^2 = 55,000^2 + b^2
---
b = 59464.27
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Form: [x^2/a^2] - [y^2/b^2] = 1
------
x^2/55,000^2 - y^2/59464^2 = 1
=================================
Cheers,
Stan H.
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