An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the hyperbola. The 8 object enters along a path approximated by the line y = x + 89 and exits along a line approximated 8 by y = - x + V89 where, the sun is at the origin and all distances are measured in AU. The perihelion (point of closest approach to the sun) is -8+ V89AU. Write the equation of the hyperbola that describes the object's path.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the hyperbola. The
8
object enters along a path approximated by the line y =
-x + /89 and exits along a line approximated
5
8
by y =
x + v89 where, the sun is at the origin and all distances are measured in AU. The perihelion
5
(point of closest approach to the sun) is -8 + V89AU.
Write the equation of the hyperbola that describes the object's path.
Transcribed Image Text:An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the hyperbola. The 8 object enters along a path approximated by the line y = -x + /89 and exits along a line approximated 5 8 by y = x + v89 where, the sun is at the origin and all distances are measured in AU. The perihelion 5 (point of closest approach to the sun) is -8 + V89AU. Write the equation of the hyperbola that describes the object's path.
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