Orbit determination error analysis and comparison of stationkeeping costs for Lissajous and halotype libration point orbits
Abstract
Spacecraft in orbit near libration point L1 in the sunEarth system are excellent platforms for research concerning solar effects on the terrestrial environment. One spacecraft mission launched in 1978 used an L1 orbit for nearly four years, and future L1 orbital missions are also being planned. Orbit determination and stationkeeping are, however, required for these orbits. In particular, orbit determination error analysis may be used to compute the state uncertainty after a predetermined tracking period; the predicted state uncertainty levels then will impact the control costs computed in stationkeeping simulations. Error sources, such as solar radiation pressure and planetary mass uncertainties, are also incorporated. For future missions, there may be some flexibility in the type and size of the spacecraft's nominal trajectory, but different orbits may produce varying error analysis and stationkeeping results. The nominal path, for instance, can be (nearly) periodic or distinctly quasiperiodic. A periodic 'halo' orbit may be constructed to be significantly larger than a quasiperiodic 'Lissajous' path; both may meet mission requirements, but perhaps the required control costs for these orbits are probably different. Also, for this spacecraft tracking and control simulation problem, experimental design methods can be used to determine the most significant uncertainties. That is, these methods can determine the error sources in the tracking and control problem that most impact the control cost (output); it also produces an equation that gives the approximate functional relationship between the error inputs and the output.
 Publication:

Spaceflight Mechanics 1992
 Pub Date:
 1992
 Bibcode:
 1992sfm..proc..117G
 Keywords:

 Cost Analysis;
 Error Analysis;
 Orbit Calculation;
 Radiation Pressure;
 Solar Radiation;
 Spacecraft Orbits;
 Spacecraft Tracking;
 Spacecraft Trajectories;
 Stationkeeping;
 Trajectory Analysis;
 Computerized Simulation;
 Control Simulation;
 Environment Effects;
 Experiment Design;
 Halos;
 Libration;
 Mission Planning;
 Planetary Mass;
 Astrodynamics