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This document explores the concept of coplanar rendezvous, primarily focusing on the Hohmann transfer method as the minimum energy transfer technique. It discusses scenarios where time constraints necessitate non-tangential burns, resulting in additional delta-v (DV) requirements. The analysis assumes circular and coplanar initial and final orbits, with instantaneous engine burns for optimal efficiency. Key equations governing delta-v for both Hohmann and co-orbital rendezvous scenarios are presented, emphasizing fuel economy and transfer time considerations for successful space missions.
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6.3 Rendezvous Christopher James 3/30/2007 Physics 280
Coplanar Rendezvous • The next case is that of coplanar rendezvous. In this situation, a Hohmann transfer is most often the minimum energy transfer. For transfers that require significantly less time than allowable with a Hohmann transfer, a non-tangential burn can be implemented at the cost of extra DV. The DV needed for a circular Hohmann transfer is found using the following equations………
Hohmann Transfer • Assumptions: • Initial and final orbits are circular and coplanar • Engine burn is instantaneous • Approach: • Doubly tangent transfer ellipse: Minimum speed change – minimum burn – minimum fuel – minimum weight
The basic equations for rendezvous and proximity operations are well understood. The easiest is the co-orbital circular rendezvous scenario. The DV needed for rendezvous is dependent on the allowable time and is found using the following equations.
