A Geometrical Interpretation of the Deflection of Almost Rectilinear Orbits in a Central Field

Details A Geometrical Interpretation of the Deflection of Almost Rectilinear Orbits in a Central Field A Geometrical Interpretation of the Deflection of Almost Rectilinear Orbits in a Central Field

Feb 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..82..155p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 82, Issue 2, p. 155-162 (2002).

Astronomy and Astrophysics

Astronomy

1

Motion In A Central Field, Singularity, Least Action Principle, Regularization, Motion In A Central Field, Singularity, Least Action Principle, Regularization

Scientific paper

We give a geometrical interpretation for the deflection at the origin of rectilinear orbits in a central field. This interpretation is based on the correspondence between the plane orbits of a conservative force field and the geodesics of a certain surface. If the field is ‘hard’ near the origin, the surface is tangent to a cone. By considering the development of this cone, we obtain the deflection. We study also almost rectilinear orbits.

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