Front Cover Equations
Adapted From Fundamentals of Astrodynamics and Applications, Second Edition by David A. Vallado (Vallado Orange Book)
Note! This is not an exact copy of the front cover. I have made changes to symbols where appropriate for legibility and such. For instance, I use (theta) instead of (nu) for true anomaly, as it looks too much like velocity. Go ahead and try it out! . Also, I use the same symbol for elliptic, parabolic, and hyperbolic eccentric anomaly. They are all used the same way, and it is always clear from context which is which.
I also group things differently, and I add in a couple of equations which are in pencil in my book.
These are provided pretty much without comment, as a reference for someone who knows what to do with the equation, but just needs to see it written out.
Common twobody equations[edit]
Specific angular momentum 
 
Specific Mechanical Energy 
 
Orbital period  
Eccentricity Vector  
Radius  
Radial Rate  
Angular Rate  
Semiparameter  
Semimajor axis 

Anomalies[edit]
Circle  Ellipse  Parabola  Hyperbola  
Eccentric Anomaly 

 
True Anomaly 


 
Mean Anomaly 
Other Parameters[edit]
Circle  Ellipse  Parabola  Hyperbola  
Flight Path Angle 

 
Polar Form Equation 


Periapsis  
Apoapsis  (negative)  
Semiparameter  (positive)  
Semimajor axis  (negative)  
Velocity 


Hyperbolic excess velocity  
Asymptotic True Anomaly  
Eccentricity 


Mean Motion  
Period 