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Solution of Lambert's problem for short arcs

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Abstract

Approximation formulas are found for\(\dot x(0)\) and\(\dot x(1)\), wherex(t) satisfies\(\ddot x = f(x,t)\),x(0)=x 0,x(1)=x 1. The results are applied to an example of two-body motion.

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References

  • Battin, Richard H.: 1964,Astronautical Guidance, McGraw-Hill Book Co., New York, pp. 58–87.

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  • Escobal, P. R.: 1965,Methods of Orbit Determination, John Wiley and Sons, Inc., pp. 187–235.

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Lancaster, E.R. Solution of Lambert's problem for short arcs. Celestial Mechanics 2, 60–63 (1970). https://doi.org/10.1007/BF01230450

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  • DOI: https://doi.org/10.1007/BF01230450

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