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Additional resources for An Explanation of the Gaps in the Distribution of the Asteroids According to Their Periods of Revolution

Sample text

The excess velocity targeted is that needed to achieve the interplanetary transfer, as this now is approximately equal to the e€ective departure speed from the planet within the heliocentric domain. This quantity can be calculated from: r À …1:2:2† VI ˆ a The direction of the excess hyperbolic departure vector can be chosen by correctly locating the orbit plane and the pericentre of the initial hyperbolic orbit. The asymptotic departure direction within the orbit plane is given by:   1 À1 À …1:2:3†  ˆ cos e where  is the maximum true anomaly, and where the velocity vector is asymptotically aligned with the radius vector.

9 Double EGA, single JGA low-thrust mission to Pluto . . . . . . . . . 1 Earth gravitational escape and Venus gravitational capture with low thrust . 2 Transfer from Earth to Venus with EGA, VFA and gravitational capture at Venus. . . . . . . . . . . . . . . . . . . . . . . . . . 7 Physical properties of the inner planets . Orbital data of the inner planets . . . Physical properties of the outer planets . Orbital data of the outer planets. . . The moons of Mars.

This can be predicted via application of the classical rocket equation:   ÀDV mf ˆ m0 exp Isp à g0 where m0 and mf are the initial and ®nal masses at the start and end, respectively, of the ®nal stage burn.

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An Explanation of the Gaps in the Distribution of the Asteroids According to Their Periods of Revolution by Brown E. W.


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