Accession Number : ADA117641

Title :   Equatorial Motion About an Oblate Primary.

Descriptive Note : Technical rept.,

Corporate Author : MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s) : Taff,Laurence G

PDF Url : ADA117641

Report Date : 01 Jun 1982

Pagination or Media Count : 30

Abstract : This Report discusses motion in the equatorial plane of an oblate primary. Included are terms due to non-sphericity through J sub 2 in the potential. This problem is exactly soluble in the same sense that the ordinary two-body problem is exactly soluble. The full solution is given, the connection with perturbation theory (as J sub 2 yields 0) is demonstrated, and the stability of circular orbits is discussed. The analytical solution involves all three incomplete elliptic integrals which limits its transparency.

Descriptors :   *Equations of motion, *Planetary satellites, *Equatorial orbits, Perturbation theory, Transparence, Integrals, Limitations, Solutions(General), Approximation(Mathematics), Lagrangian functions, Solar orbits, Circular orbits, Stability

Subject Categories : Numerical Mathematics
      Unmanned Spacecraft

Distribution Statement : APPROVED FOR PUBLIC RELEASE