Abstract
Since geometric analogs exist for algebraic relations that define the solution to the two-body problem, all of the normalized orbital and dynamical elements in the two-body problem can be determined with geometric construction without numerical computation. The use of double-precis ion computer drafting programs will generally mean no loss of numerical accuracy compared with digital computer solutions. The normalized velocity hodograph and position ellipse can be combined conveniently on the same graph. The method is illustrated for an initial orbit specified by velocity components or by the semimajor and semiminor axes. Normalized time is also computed as a function of true anomaly using geometric constructions. The standard two-body equations can be derived by using the geometric constructions in an algebra manipulation program such as MACSYMA.
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