We derive optimum values of parameters for laser-driven flights into low Ea
rth orbit (LEO) using an Earth-based laser, as well as sensitivity to varia
tions from the optima. These parameters are the ablation plasma exhaust vel
ocity u(E) and specific ablation energy Q*, plus related quantities such as
momentum coupling coefficient C-m and the pulsed or continuous laser inten
sity that must be delivered to the ablator to produce these values. Differe
nt optima are found depending upon whether it is desired to maximize mass m
delivered to LEG, maximize the ratio m/M of orbit to ground mass, or minim
ize cost in energy per gram delivered. Although it is not within the scope
of this report to provide an engineered flyer design, a notional, cone-shap
ed flyer is described to provide a substrate for the discussion and flight
simulations. The flyer design emphasizes conceptually and physically separa
te functions of light collection at a distance from the laser source, light
concentration on the ablator, and autonomous steering. Approximately ideal
flight paths to LEO are illustrated beginning from an elevated platform. W
e believe LEO launch costs can be reduced 100-fold in this way. Sounding ro
cket cases, where the only goal is to momentarily reach a certain altitude
starting from near sea level, are also discussed. Nonlinear optical constra
ints on laser propagation through the atmosphere to the flyer are briefly c
onsidered.