OCCAM lite

Consider two objects whose nominal orbits will intersect. The body 1 performs a collision avoidance maneuver some time before this conjunction, with an allotted $\Delta V$. In this page, the maneuver is designed to maximize the miss distance between the two objects. The time of the maneuver is a free parameter, which can range from the collision to $n_{orbits}$ before.
This approach is based on the works:

• Collision Avoidance Maneuver Optimization. Claudio Bombardelli, Javier Hernando Ayuso and Ricardo García Pelayo. In Advances in the Astronautical Sciences (AAS 14-335). 2014. URL
• Analytical formulation of impulsive collision avoidance dynamics. Claudio Bombardelli. In Celestial Mechanics and Dynamical Astronomy February 2014, Volume 118, Issue 2, pp 99-114. URL
• Optimal Impulsive Collision Avoidance in Low Earth Orbit. Claudio Bombardelli and Javier Hernando Ayuso. In Journal of Guidance, Control, and Dynamics volume 38, issue 2 pp 217-225.
• Series for Collision Probability in Short-Encounter Model. Ricardo García-Pelayo and Javier Hernando-Ayuso. In Journal of Guidance, Control, and Dynamics volume 39, issue 8, pp 1904-1912, 2016. doi: 10.2514/1.G001754

Warning: for miss distance exceeding $6000 \, \text{km}$, the results may be inaccurate.

Have fun!