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In this cheat sheet you find some Astrodynamic Equations applicable to all Orbits, to Parabolic Orbits, Elliptic Orbits and Hyperbolic Orbits
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Some Astrodynamic Equations
a) Orbit Equation: (Orbit parameter, or semi-latus rectum) b) Energy Equation: c) Angular Momentum:
d) Velocity Components:
e) Eccentricity:
f) Flight path angle (N):
2. Parabolic Orbits (E (^) n = 0, e = 1)
a) Orbit equation:
b) Energy Equation: Y c) Flight path angle: Y
Parabolic Orbits (cont)
d) Other relations
3. Elliptic Orbits (En < 0, e < 1) a) Orbit Equation: , b) Energy Equation: Y c) Angular momentum: d) Flight Path Angle: ,
e) Period of Elliptic Orbit (Mean angular rate) (Kepler’s 3 rd^ law) f) Peri- and apo- center relations: