The general Kepler equation and its solutions.

Details The general Kepler equation and its solutions. The general Kepler equation and its solutions.

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..43..211s&link_type=abstract

Celestial Mechanics, Volume 43, Issue 1-4, pp. 211-222

Statistics

Computation

Two-Body Problem

Scientific paper

My father K. Stumpff (1947, 1949, 1951, 1959, 1962) developed a transcendental equation which replaces the original Kepler equation but is valid for all types of orbits. Other advantages over the classical methods are: a) the independent arguments of the equation follow from the vectors of position and velocity at any instant To, where To is not necessarily the perihelion time; b) an explicit knowledge of the classical orbital elements is not required; c) transformations of coordinate systems are avoided. The present paper discusses the properties of the general Kepler equation in a wide range of its independent arguments, and it is shown that analytic solutions, existing in special cases, can be used for the numerical solution of general cases. The theory is generalized insofar as it now can handle not only attracting forces but also repulsive ones. As a result of this investigation, FORTRAN subroutines were developed which can be used in connection with any two-body problem for the computation of position and velocity as function of time along any unperturbed orbit.

Affiliated with

Also associated with

No associations

Rating

The general Kepler equation and its solutions. 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 The general Kepler equation and its solutions., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The general Kepler equation and its solutions. will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1454883