A Configuration Counterpart of the Kepler Problem Hodograph

Details A Configuration Counterpart of the Kepler Problem Hodograph A Configuration Counterpart of the Kepler Problem Hodograph

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68..305v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 4, pp.305-311

Astronomy and Astrophysics

Astronomy

1

Kepler Problem, Hodograph, Minkowskian Parameterizatio

Scientific paper

This paper presents two peculiar geometrical structures in the configuration space of the classical Kepler problem: the circularU-graph and the circularS-graph. TheS-graph shows up a configuration space counterpart of the well-known velocity space hodograph. Several interesting results are brought out, such as a peculiar description of the mechanical energy. An extension to the three-dimensional space, through theU-sphere and theS-sphere, characterizes the regular Kepler orbits by means of the north pole of the associatedS-sphere. The Minkowskian parameterization introduced in [1] is easily recovered and is shown to fit naturally in theS-sphere description of the Kepler problem.

Affiliated with

Also associated with

No associations

Rating

A Configuration Counterpart of the Kepler Problem Hodograph does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Configuration Counterpart of the Kepler Problem Hodograph, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Configuration Counterpart of the Kepler Problem Hodograph will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1878370