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Slawomir Boruch Week 3: February 1 st , 2007. Dynamics & Control EP Trajectory Design, aM, aE, EPS1, EPS2, Sample Return vehicle groups. Future Work. Work needs to be checked via numerical integration Should consider 3-D case (inclinations) Unknown masses major source of error.
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Slawomir BoruchWeek 3: February 1st, 2007 Dynamics & Control EP Trajectory Design, aM, aE, EPS1, EPS2, Sample Return vehicle groups
Future Work • Work needs to be checked via numerical integration • Should consider 3-D case (inclinations) • Unknown masses major source of error
a a’ a does not equal a’!! Sample Calculation LEO - HMO • Since semi-major axis of transfer changes with • synodic period, had to figure out Vinf for all possible • trajectories. • 2) Vinf is the heliocentric velocity of s/c on transfer • in heliocentric reference frame minus the helocentric • velocity of the planet. • 3) Delta V escape can be calculated using:
Sample Calculation LEO - HMO 4) Find “Upper Stage” delta V from LEO TO HEO 5) Calculate total delta V: ΔV = ΔVesc_earth + ΔVcap_mars + ΔVus 6) Use the following to find Isp that minimizes Mo/Mpayload
Sample Calculation LEO - HMO 7) Find Thrust: