A solution of the variational equations for elliptic orbits in rotating coordinates

Author:

JONES J.1

Affiliation:

1. California Institute of Technology, Jet Propulsion Laboratory, Pasadena, Calif.

Publisher

American Institute of Aeronautics and Astronautics

Reference32 articles.

1. through 17 contain a sampling of the various solutions which are available. Early investigations by Danby1-4 for elliptic and hyperbolic reference orbits led to general solut'ons in universa 1 variables by Battin 5, Goodyearft,and Pitkin 7. The solution developed by Goodyear, in particular, has become a widely accepted technique for generating numerical results. Later papers by Pitkine, Pines and Fang 9, and Soong and PaullO included expressions for both the first and second partial derivatives. Major theoretical papers have been presented by Deprit and Deprit-Bartholomell, and Brouckel 2. A later update to this work is due to Hitzll 3. While the details of the results vary, all of the preceding work shares the common thread of expressing the results relative to an inertial Cartesian coordinate frame.

2. California Institute of Technology, under NASA Contract NAS7-100. **Technical Group Supervisor, Member AIAA.

3. Somewhat in parallel with these developments, investigations have been conducted where the results are expressed relative to a rotating coordinate system. The most used results relating perturbations relative to a circular arbit, were first developed by H i l l (1878) and much later rediscovered by Clohessy and Wiltshire 14 in 1960. Further work to extend the range of validity was given by Londonl 5 and Anthony and Sasakil 6.

4. .* 26 ir + 6'6r + 6s - 0 6s = - 6s (1)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Evaluation of Guidance Control Accuracy during Rendezvous Docking Experiment of ETS-VII;JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES;2003

2. A vectorial form for the conic variational equations;Journal of Guidance, Control, and Dynamics;1982-09

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