Perigee and Apogee of a Conic Section

12112017, 12:59 PM
(This post was last modified: 12112017 01:01 PM by Eddie W. Shore.)
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Perigee and Apogee of a Conic Section
Introduction
The program CONICAP determines three characteristics of a conic section: Eccentricity: E = 0, circle 0 < E < 1, ellipse E = 1, parabola (this case is not covered) E > 1, hyperbola Periapsis (Perigee): The point on the conic section where it is closest to a primary focus (which is designated at one of the two foci F or F’). Apoapsis (Apogee): The point on the conic section where it is furthest away from a primary focus. Note for a hyperbola and a parabola, the apogee is ∞. The inputs are the lengths of the semimajor axis (A) and the semiminor axis (P). For a hyperbola, input A as negative. HP Prime Program CONICAP Code:
Examples A = 8, P = 3 (Ellipse) Perigee 1.67544467966 Apogee 14.3245553203 Eccentricity 0.790569415042 A = 8, P = 3 (Hyperbola) Perigee 1.38083151968 Apogee N/A Eccentricity 1.17260393996 Source: Roger R. Bate, Donald D. Mueller, Jerry E. White. Fundamentals of Astrodynamics Dover Publications: New York. 1971. ISBN13: 9780486600611 

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