Calculation and Study of Limited Orbits around the L2 Libration Point of the Sun–Earth System
- 21 Downloads
A procedure has been proposed for calculating limited orbits around the L2 libration points of the Sun–Earth system. The motion of a spacecraft in the vicinity of the libration point has been considered a superposition of three components, i.e., decreasing (stable), increasing (unstable), and limited. The proposed procedure makes it possible to correct the state vector of the spacecraft so as to neutralize the unstable component of the motion. Using this procedure, the calculation of orbits around various types of libration points has been carried out and the dependence on the orbit type on the initial conditions has been studied.
Unable to display preview. Download preview PDF.
- 1.Zaslavskii, G.S., Zakhvatkin, M.V., Il’in, I.S., et al., Ballistic and navigation support of the Spektr-R spacecraft flight, Kosmonavt. Raketostr., 2014, vol. 74, no. 1, pp. 15–29.Google Scholar
- 2.Il’in, I.S., Selection of a nominal orbit for the Millimetron spacecraft out of the family of periodic orbits in the vicinity of the Sun–Earth L 2 libration point, Preprint of the Keldysh Institute of Applied Mathematics, Russ. Acad. Sci., Moscow, 2013, no. 46.Google Scholar
- 3.Timokhova, T.A., Optimization the correction for the support of spacecraft orbit limitations in the vicinity of the collinear libration center, Preprint of the Institute of Space Research, USSR Acad. Sci., 1987, no. 1238.Google Scholar
- 4.El’yasberg, P.E., Sinitsyn, V.M., and Timokhova, T.A., Investigation of the spacecraft motion in the vicinity of the collinear libration center, Preprint of the Institute of Space Research, USSR Acad. Sci., 1985, no. 995.Google Scholar
- 5.Canalias, E., Gomez, G., Marcote, M., and Masdemont, J., Assessment of Mission Design Including Utilization of Libration Points and Weak Stability Boundaries, Universitat Politecnica de Catalunya, Universitat de Barcellona, 2005, Ariadna id: 03/4103.Google Scholar
- 6.Dunham, D.W., Farquhar, R.W., Aksenov, S., et al., Interplanetary human exploration enabled by lunar swingbys and libration-point orbits, in AIAA/AAS Astrodynamics Specialist Conference, 2014.Google Scholar
- 7.Farquhar, R.W., The control and use of libration-point satellites, NASA TRR-346, 1970.Google Scholar
- 8.Folta, D.C., Bosanac, N., Guzzetti, D., and Howell, K.C., An earth–moon system trajectory design reference catalog, Adv. Astronaut. Sci., 2015, pp. 191–210.Google Scholar
- 9.General Mission Analysis Tool. NASA JPL. http:// gmat.gsfc.nasa.gov, http://gmatcentral.org.Google Scholar
- 10.Guzzetti, N., Bosanac, N., and Howell, K.C., A framework for efficient trajectory comparison in the Earth–Moon design space, in AIAA/AAS Astrodynamics Specialist Conference, San Diego, 2014.Google Scholar
- 11.Haapala, A. and Howell, K., Representations of higher-dimensional Poincaré maps with application to spacecraft trajectory design, in IAF 63rd International Astronautical Congress, Naples, Italy, 2012.Google Scholar
- 12.Haapala, A., Howell, K., and Folta, D., Incorporating the evolution of multi-body orbits into the trajectory trade space and design process, in IAF 65th International Astronautical Congress, Toronto, Canada, 2014.Google Scholar