Radially accelerated periodic orbits in the Clohessy-Wiltshire frame

The Journal of the Astronautical Sciences - Tập 56 Số 1 - Trang 1-16 - 2008
Hiroshi Yamakawa1, Ikkoh Funaki2
1Kyoto University
2Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Kanagawa, Japan

Tóm tắt

Từ khóa


Tài liệu tham khảo

CLOHESSY, W. H. and WILTSHIRE, R. S. “Terminal Guidance System for Satellite Rendezvous,” The Journal of the Astronautical Sciences, Vol. 27, No. 9, 1960, pp. 653–678.

ANTHONY, M. L. and SASAKI, F. T. “Rendezvous Problem for Nearly Circular Orbits,” AIAA Journal, Vol. 3, No. 9, 1965, pp. 1666–1673.

LONDON, H. S. “Second Approximation to the Solution of the Rendezvous Equations,” AIAA Journal, Vol. 1, No. 7, 1963, pp. 1691–1693.

CARTER, T. E. “New Form for the Optimal Rendezvous Equations near Keplerian Orbit,” Journal of Guidance, Control, and Dynamics, Vol. 13, No. 1, 1990, pp. 183–186.

GIM, D.W. and ALFRIEND, K. T. “State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit,” Journal of Guidance, Control, and Dynamics, Vol. 26, No. 6, 2003, pp. 956–971.

INALHAN, G. and HOW, J. “Relative Dynamics and Control of Spacecraft Formations in Elliptic Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, 2002, pp. 48–59.

KARLGAARD, C. D. and LUTZE, F. H. “Second Order Relative Motion Equations,” Advances in the Astronauical Sciences, Vol. 109, Pt. 3, 2002, pp. 2429–2448.

MITCHELL, J.W. and RICHARDSON, D. L. “A Third Order Analytical Solution for Relative Motion with a Circular Reference Orbit,” The Journal of the Astronautical Sciences, Vol. 51, No. 1, 2003, pp. 1–12.

VADDI, S. S., VADALI, S. R., and ALFRIEND, K. T. “Formation Flying: Accommodating Nonlinearity and Eccentricity Perturbations,” Journal of Guidance, Control, and Dynamics, Vol. 26, No. 2, 2003, pp. 214–223.

ALFRIEND, K. T., YAN, H., and VADALI, S. R. “Nonlinear Considerations in Satellite Formation Flying,” presented as paper 2002-4741 at the AIAA/AAS Astrodynamics Conference and Exhibit, Monterey, California, August 5–8, 2002.

ALFRIEND, K. T. and YAN, H. “An Orbital Elements Approach to the Nonlinear Formation Flying Problem,” Proceedings of the International Formation Flying Conference: Missions and Technologies, Toulouse, France, Oct. 2002.

ALFRIEND, K. T. and YAN, H. “Evaluation and Comparison of Relative Motion Theories,” Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 254–261.

VAN DER HA, J. and MUGELLESI, R. “Analytical Models for Relative Motion Under Constant Thrust,” Journal of Guidance and Control, Vol. 13, No. 4, 1990, pp. 644–650.

NATARAJAN, A. and SCHAUB, H. “Linear Dynamics and Stability Analysis of a Two-Craft Coulomb Tether Formation,” Journal of Guidance, Control, and Dynamics, Vol. 29, No. 4, 2006, pp. 831–838.

KANTROWITZ, A. R. “Propulsion to Orbit by Ground-Based Lasers,” Astronautics and Aeronautics, Vol. 10, No. 5, 1972, pp. 74–76.

BIRKAN, M.A. “Laser Propulsion: Research Status and Needs,” Journal of Propulsion and Power, Vol. 8, No. 2, 1992, pp. 354–360.

GLUMB, R. J. and KRIER, H. “Concepts and Status of Laser-Supported Rocket Propulsion,” Journal of Spacecraft and Rockets, Vol. 21, No. 1, 1984, pp. 70–79.

MARTIN, J.A. “Vertical Ascent from Earth to Geosynchronous Orbit,” Journal of Propulsion and Power, Vol. 1, No. 1, 1985, pp. 77–82.

CHERN, J. S., HONG, Z. C., CHENG, W. L., and CHANG, C.Y. “Trajectory Optimization for Two-Dimensional Ascent to GEO Using Laser Propulsion System,” Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, Victoria, BC, Canada, Aug. 1993. pp. 603–618.

HUMBLE, W. E. and PIERSON, B. L. “Maximum-Payload Trajectories for a Laser-Propelled Launch Vehicle,” Journal of Guidance, Control, and Dynamics, Vol. 18, No. 6, 1995, pp. 1259–1266.

HONG, Z. C., HSU, F. C., and CHERN, J. S. “Vertical Ascent to Geosynchronous Orbit with Constrained Thrust Angle,” Journal of Spacecraft and Rockets, Vol. 37, No. 1, 2000, pp. 64–70.

MEIROVITCH, L. Methods of Analytical Dynamics, Dover Publications, Inc., New York, 1970, pp. 299–302.