Twoimpulse coplanar transfer of minimal angular range at a given characteristic velocity
Abstract
The analysis deals with the transition of a point of variable mass along an ellipse from one elliptical orbit to another in a Newtonian gravitational field. Three equalities containing six variables are derived for constructing an arbitrary twoimpulse transfer of the type under consideration. The inequalities are used to derive a closed system of equations describing coplanar orbital transfer of minimal angular range at a given value of the characteristic velocity. In the case of circular orbits, the system reduces to a single equation with one unknown. In a Hohmann characteristic velocity, the solution is a Hohmann ellipse.
 Publication:

Mechanics of Controlled Motion
 Pub Date:
 1979
 Bibcode:
 1979mcnl.rept..174S
 Keywords:

 Elliptical Orbits;
 Gravitational Fields;
 Orbital Mechanics;
 Trajectory Optimization;
 Transfer Orbits;
 Circular Orbits;
 Coplanarity;
 Mass Transfer;
 Astrodynamics