I recently conducted an experiment using Kerbal Space Program to analyze the effect of burn altitude on orbital properties. Unfortunately im a bit of a rookie when it comes to orbital dynamics so I'd appreciate if someone could explain the data I've been getting.
Details of experiment: An anti-radial burn of 50m/s will be conducted at heights of (0%, 20%, 40%, 60%, 80%, and 100%) of orbital altitude. The starting orbit has a semi-major axis of 30,000,000 m, inclination of 0, and eccentricity of 0.9. After conducting the burn, changes to the Apogee (main focus of experiment), perigee, inclination, period, and eccentricity will be measured.
The problem is that I cannot seem to find a mathematical relationship online between altitude of the burn and apogee and I cannot explain the data I have found. It is periodic by nature, but the relationship is very odd.
These are the resultant apogees from my experiment. Note: The x-axis labels are as follows (1=0%, 2=20%, 3=40%, 4=60%,5=80%,6=100%,7=80%, 8=60%, 9=40%, 10=20%, 11=0%. and 1-5 are while ascending and 7-11 are while descending.)