Front Cover Equations

From OrbiterWiki
Jump to: navigation, search

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 two-body equations[edit]

Specific angular momentum
Specific Mechanical Energy
Orbital period
Eccentricity Vector
Radius
Radial Rate
Angular Rate
Semi-parameter
Semi-major 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)
Semi-parameter (positive)
Semi-major axis
(negative)
Velocity
Hyperbolic excess velocity
Asymptotic True Anomaly
Eccentricity
Mean Motion
Period