Tool Center

Equatorial Orbit Designer

Inputs

Celestial Body

Central body the satellite is orbiting.

Celestial Body Mass

Mass of the celestial body the satellite is orbiting

Celestial Body Radius

Radius of the celestial body.

Perigee Altitude

Closest distance from surface of central body to satellite.

Apogee Altitude

Furthest distance from surface of central body to satellite.

Outputs

Orbit Radius Perigee: 6728.14 km
Orbit Radius Apogee: 6778.14 km
Eccentricity: 0.003702
Orbit Velocity Perigee: 7.71 km/s
Orbit Velocity Apogee: 7.65 km/s
Orbital Period: 92.05 min
Equatorial Eclipse Duration: 36.21 min

Calculation Log


                satcatalog: python equatorial_orbit_designer.py
                
                    
                    
                    radius_perigee = 350.0 km + 6378.1366 km
                    
                    radius_perigee = 6728.1366 km
                    
                    radius_apogee = 400.0 km + 6378.1366 km
                    
                    radius_apogee = 6778.1366 km
                    
                    eccentricity = (6778.1366 km - 6728.1366 km) / (6778.1366 km + 6728.1366 km)
                    
                    eccentricity = 0.003702
                    
                    semi_major_axis = (6728.1366 km + 6778.1366 km) / 2
                    
                    semi_major_axis = 6753.1366 km
                    
                    velocity_perigee = sqrt(((2 x 398613.89) / 6728.1366) - (398613.89 / 6753.1366))
                    
                    velocity_perigee = 7.71 km/s
                    
                    velocity_apogee = sqrt(((2 x 398613.89) / 6778.1366) - (398613.89 / 6753.1366))
                    
                    velocity_apogee = 7.71 km/s
                    
                    orbital_period = 2 x 3.1416 x sqrt((6753.1366^3) / 398613.89)
                    
                    orbital_period = 92.05 s
                    
                    eclipse_fraction = (3.1416-2 x arccos(6378.1366 / ((6728.1366 + 6778.1366) / 2))) / (2 x 3.1416)
                    
                    eclipse_fraction = 0.3934
                    
                    eclipse_duration = 0.3934 x 5522.83 sec
                    
                    eclipse_duration 2172.82 sec