Abstract

The general problem of launching out of the plane of an orbit is investigated by considering first the problem of launching from an arbitrary point on earth to a given equatorial orbit. A simplified analysis using a spherical, nonrotating earth model with no atmosphere is discussed. Generalized curves showing the interrelationship of ideal velocity to burnout conditions and the true heading to burnout conditions are presented for several values of launch latitude and several orbit altitudes. From these, a curve for each orbit altitude showing the minimum ideal velocity as a function of launch latitude is derived. Curves for time and angular range of the ascent trajectory for several orbit altitudes also are included. A method is given for using these curves when the desired circular orbit is inclined.

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