Wj2 = -3*(Req/p)^2*n*J2*cos(i)/2
where the perturbed mean motion is given by
n = sqrt (mu/a^3)*(1+3*J2*(Req/p)^2*(3*(cos(i))^2-1)/(4*sqrt(1-e^2)))
The period of the orbit is given by
T = 2*pi()/n
The angle, Dlong, between successive ascending nodes, measured in the equatorial plane, is given by
Dlong = (-We + Wj2)*T
and the distance along the equator between successive node crossing points is given by
Dist = Dlong*Req
a = r (for circular orbits only)
p = a * (1 - e^2)
r = Req + ALT (altitude at the ascending node point)
St | Input | Name | Output | Units | Comments | |
6378.16 | Req | km | Equatorial radius of Earth | |||
398598.15 | mu | km^3/s^2 | Earth's gravitational parameter | |||
7.2921E-5 | We | rad/s | Earth's rotation rate | |||
.0010826 | J2 | Oblateness Coefficient | ||||
1.991E-7 | Wj2 | rad/s | Sunsynch Node Rotation due to J2 | |||
L | ALT | >td>-228.1365km | Altitude | |||
L | a | 6150.0235 | km | Semi-major Axis of Orbit | ||
0 | e | Eccentricity of Orbit | ||||
L | 95 | i | deg | Inclination of Orbit | ||
p | 6150.0235 | km | Orbit | Parameter | ||
L | r | 6150.0235 | km | Radius of Orbit | ||
L | T | 4803.9284 | sec | Period of Orbit | ||
n | .00130793 | sec^-1 | Mean Motion of Orbit | |||
L | Dlong | -20.01639 | deg | Change in Ascending Node per Rev | ||
L | Dist | -2228.222 | km | Distance between successive nodes |