Data Provider Groups | Data Provider Elements

Equinoctial Elements

The position and velocity of the object, as observed from the requested coordinate system, expressed in equinoctial elements as a function of time. Equinoctial elements are a set of orbital elements that are not singular when the eccentricity becomes zero or the orbit is equatorial. Rates of the elements may also be reported. Rates are computed using variation of parameters expressions with the perturbative acceleration which is computed as the total acceleration minus the two body acceleration, expressed in the requested coordinate system.

Due to the method of computation, element rates will not be consistent with finite differencing of the element values for cases where the velocity is not the true time derivative of the acceleration; for this reason, these values will not be reported for the J2, J4 and SGP4 propagators.



Available for these objects: Satellite

Type: Time-varying data.

Availability: Reports | Graphs | Dynamic Displays | Strip Charts

Data Provider Groups

Data can be requested in a variety of coordinate systems, where the origin of the coordinate system is the object's central body. The available coordinate systems depend on the object's central body. Nominally, the systems Fixed, Inertial, J2000, TrueOfDate, and MeanOfDate are supported, although some central bodies (notably the Earth and Sun) have more.

The following lists the systems available for Earth.
NameDescription
ICRFInternational Celestial Reference Frame. The ICRF axes are defined as the inertial (i.e., kinematically non-rotating) axes associated with a general relativity frame centered at the solar system barycenter (often called the BCRF).
MeanOfDateThe mean equator mean equinox coordinate system evaluated at the requested time.
MeanOfEpochThe mean equator mean equinox coordinate system evaluated at the epoch of the object.
TrueOfDateThe true equator true equinox coordinate system evaluated at the requested time.
TrueOfEpochThe true equator true equinox coordinate system evaluated at the epoch of the object.
B1950The mean equator mean equinox coordinate system evaluated at the beginning of the Besselian year 1950 (31 December 1949 22:09:46.866 = JD 2433282.4234591).
TEMEOfEpochThe true equator mean equinox coordinate system evaluated at the epoch of the object.
TEMEOfDateThe true equator mean equinox coordinate system evaluated at the requested time.
AlignmentAtEpochThe non-rotating coordinate system coincident with the Fixed system evaluated at the object's coordinate reference epoch.
J2000The mean equator mean equinox coordinate system evaluated at the J2000.0 epoch (2000 January 1.5 TDB = JD 2451545.0 TDB).

Data Provider Elements

NameDimensionTypeDescription
TimeDateReal Number or TextTime.
Semi-Major AxisDistanceReal NumberA measure of the size of the orbit. Orbits with eccentricity less than 1 are ellipses, with major and minor axes identifying the symmetry axes of the ellipse, the major axis being the longer one. The value is half the length of the major axis.
e * sin(omegaBar)UnitlessReal Numberh = eccentricity * sin(right_ascension_of_the_ascending_node + argument_of_periapse). Equinoctial elements h and k together describe the shape of the orbit and the location of the periapse.
e * cos(omegaBar)UnitlessReal Numberk = eccentricity * cos(right_ascension_of_the_ascending_node + argument_of_periapse). Equinoctial elements h and k together describe the shape of the orbit and the location of the periapse.
tan(i/2) * sin(raan)UnitlessReal Numberp = tan(inclination/2) * sin(right_ascension_of_the_ascending_node). Equinoctial elements p and q together describe the orientation of the orbit plane. Retrograde orbits have a singularity at zero inclination, and posigrade orbits have a singularity at 180 deg inclination.
tan(i/2) * cos(raan)UnitlessReal Numberq = tan(inclination/2) * cos(right_ascension_of_the_ascending_node). Equinoctial elements p and q together describe the orientation of the orbit plane. Retrograde orbits have a singularity at zero inclination, and posigrade orbits have a singularity at 180 deg inclination.
Mean LonLongitudeReal Number or Textmean longitude is the sum: right_ascension_of_the_ascending_node + argument_of_periapse + mean_anomaly. A measure of the location within the orbit.
DirectionUnitlessTextThe type of equinoctial elements. Retrograde has its singularity at an inclination of 0 deg. Posigrade has its singularity at an inclination of 180 deg.
Semi-Major Axis RateRateReal Number or TextRate of change of semi-major axis. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
e * sin(omegaBar) RateUnitless Per TimeReal Number or TextRate of change of h. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
e * cos(omegaBar) RateUnitless Per TimeReal Number or TextRate of change of k. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
tan(i/2) * sin(raan) RateUnitless Per TimeReal Number or TextRate of change of p. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
tan(i/2) * cos(raan) RateUnitless Per TimeReal Number or TextRate of change of q. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
Mean Lon RateAngleRateReal Number or TextRate of change of mean longitude including the osculating mean motion. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
Mean Lon Perturb RateAngleRateReal Number or TextRate of change of mean longitude excluding the osculating mean motion. Computed by applying the variation of parameters equations of motion to the perturbative acceleration.
Mean MotionAngleRateReal NumberA measure of the osculating period of the orbit, expressed as an angular rate. The value is 2pi rad / orbit_period.