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The recently formulated retarded gravitation theory (RGT) explains thenon-Newtonian velocities of stars in spiral galaxies, *without any newhypothesis*, and may hence be tested even in the laboratory. However, doubtshave been expressed that those higher rotation velocities in RGT may be due toinstabilities. We resolve these doubts by solving the full functionaldifferential equations of RGT for a model 2-body planetary system. The solutionis stable and closely agrees with the Newtonian solution for this planetarycase. Thus, the big difference between RGT and Newtonian gravity for a spiralgalaxy is not due to any instability in RGT.

Stability of 2-body orbits in retarded gravitation theory (RGT)