Tool Center

Equatorial Orbit Designer

Inputs

Central body the satellite is orbiting.

kg

Mass of the celestial body the satellite is orbiting

km

Radius of the celestial body.

km

Closest distance from surface of central body to satellite.

km

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 km + 6378.1366 km
  • radius_perigee = 6728.1366 km
  • radius_apogee = 400 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