Two-Body Problems with Drag or Thrust: Qualitative Results

Details Two-Body Problems with Drag or Thrust: Qualitative Results Two-Body Problems with Drag or Thrust: Qualitative Results

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..75....1d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 75, Issue 1, p. 1-15 (1999).

Astronomy and Astrophysics

Astronomy

1

Radiation Pressure, Generalized Stokes'S Drag, Qualitative Dynamics

Scientific paper

We consider two-body problems in which the drag is proportional to the velocity divided by the square of the distance and whose radial and tangential components have distinct coefficients. For all parameters, we study the flow of the system obtained by suitable coordinate and time transformations and draw conclusions about the qualitative behavior of solutions. In each case, we examine the existence of collision-ejection, collision-escape, capture-collision, capture-escape, and oscillatory rectilinear orbits, study the motion near collision, and show that if periodic orbits exist they must be limit cycles.

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