Sunday, March 17, 2013

Continuous Acceleration, Time and Fuel

This table sets aside looking at the mass of fuel directly, and just looking at how long it takes to go 10 AUs at various accelerations, the following table is just the Brachistochrone equation.


Distance, AU Acceleration, G Hours Days Delta-V, G-Hours
10 2.0E+00 153.484 6.39515 306.967333
10 1.5E+00 177.228 7.38449 265.8415085
10 1.0E+00 217.059 9.04411 217.0586827
10 1.0E-01 686.4 28.6 68.63998234
10 1.0E-02 2170.59 90.4411 21.70586827

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