Short period terms due to J2 + central force
dcir = CL_op_shortPeriodsJ2Circ(sma,inc,pso [,er,mu,j2])
Computes the short term effects (periods less than one orbit) due to J2 and the central force on orbital elements for nearly circular orbits.
The formulas used are the following:
The orbital elements used are the following:
Notes:
- The osculating orbital elements are obtained by adding the mean orbital elements and dcir.
- The short term effects due to J2 squared are not included in the formulas.
Mean semi-major axis [m] (1xN or 1x1)
Mean inclination [rad] (1xN or 1x1)
Mean argument of latitude (1xN or 1x1)
(optional) Equatorial radius [m]. Default is %CL_eqRad
(optional) Gravitational constant [m^3/s^2]. NOT USED.
(optional) Second zonal harmonic term). Default is %CL_j1jn(2)
J2 periodic (period less than 1 orbit) effects on orbital elements (a, ex, ey, inc, raan, arg of latitude) (6xN)
CNES - DCT/SB
1) Mecanique Spatiale, Cnes - Cepadues Editions, Tome I, section 13.4.1.1.1 (p 804) - with typo corrected.
sma = 7.e6; inc = CL_deg2rad(98); pso = linspace(0,2*%pi,13); CL_op_shortPeriodsJ2Circ(sma, inc, pso) |  |  |