Some Astrodynamic Equations Cheat Sheet, Cheat Sheet of Astrophysics

In this cheat sheet you find some Astrodynamic Equations applicable to all Orbits, to Parabolic Orbits, Elliptic Orbits and Hyperbolic Orbits

Typology: Cheat Sheet

2019/2020

Uploaded on 10/09/2020

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Some Astrodynamic Equations
1. Equations Applicable to All Orbits
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 (En=0,e=1)
a) Orbit equation:
b) Energy Equation: ;
c) Flight path angle: ;
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Some Astrodynamic Equations

  1. Equations Applicable to All Orbits

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: