# Orbitology

Orbitology generally concerns  the study of planetary motion around the sun's orbit.

vCalc's Orbitology folder contains equations used in orbitology.

## Orbitology Equations

• Argument of Perigee, omega
• Average Circular Velocity
• Circular Orbit Velocity using mu
• Circular Orbit Velocity using r only
• Circular Orbit Velocity using R_E
• Earth escape velocity using mu
• Earth escape velocity using R_E
• Earth escape velocity using r only
• Magnitude of Position Vector
• Radial Acceleration (R,T)
• Radius Of Apogee
• Radius Of Perigee
• Semi-Major Axis using mu & P
• Semi-Major Axis using mu
• Semi-Major Axis using r_a
• Semi-Major Axis using just P
• Sun Perturbation - argument of perigee
• Sun Perturbation - RAAN
• Velocity of an Object in Orbit
• Declination of Sun
• Eccentricty ||vece||
• Eccentricty using r_a
• Eccentricty using r_p
• Eccentricty using energy
• Eccentricty Vector vece
• ECEF Azimuth from Celestial xy coordinates
• ECEF X-coordinate from Celestial Az/El
• ECEF Y-coordinate from Celestial Az/El
• ECEF Z-coordinate from Celestial Az/El
• ECEF_Elevation from Celestial z coordinate
• Force of Gravity on Satellite
• Inclination, i
• K3L-Separation from Mass and Period
• Maintenance Change in Velocity for Geosynchronous Satellite
• Mean Anomaly
• Mean Motion (revs/day)
• Moon Perturbation - Argument of Perigee
• Moon Perturbation - RAAN
• Net Force in Uniform Circular Motion
• Nodel Vector (vecn)
• Non-Sperical Earth Perturbation - Argument of Perigee
• Non-Sperical Earth Perturbation - Argument of Perigee (combined
• Non-spherical Earth Perturbation - RAAN
• Non-spherical Earth Perturbation - RAAN (combined coefficients)
• Orbit Period - Direct Orbit
• Orbit Period - Retrograde Orbit
• Orbit Period [a, mu]
• Orbit Period [a, R_E]
• Orbit Period [a]
• Orbit Period of Circular Orbit
• Polar Equation of a Conic Section
• Right Ascension of the Ascending Node, Omega
• Specific Mechanical Energy (1)
• Specific Mechanical Energy (2)
• TLE Checksum
• Total Mechanical Energy in a Circular Orbit
• True Anomaly, nu[vecn,vecr]
• True Anomaly, nu[E]
• Velocity of a Satellite