In case of a Keplerian motion between two fixed points, the initial velocity is shown to have the same magnitudes of radial and chordal (i.e. parallel to the chord of the trajectory between the fixed points) components as the corresponding final velocity. Further, the product of these component magnitudes is shown to depend on the positions of initial and final point, but not on the choice of trajectory between these points.


Radial Component Terminal Velocity Elliptical Orbit Terminal Position Direction Angle 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Th. Godal, Norsk Artilleritidsskrift, hefte 5 (1959).Google Scholar
  2. [2]
    W. Hohmann, Die Erreichbarkeit der Himmelskörper. R. Oldenburg, Munich (1925).Google Scholar

Copyright information

© Springer-Verlag Wien 1961

Authors and Affiliations

  • Th. Godal
    • 1
  1. 1.Naval Academy of NorwayOsloNorway

Personalised recommendations