Progress in Industrial Mathematics at ECMI 94 by Hans Josef Pesch (auth.), Helmut Neunzert (eds.)

By Hans Josef Pesch (auth.), Helmut Neunzert (eds.)

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1 Initial and Final Location of the Aircraft The initial velocity of all aircraft is 500 [knots] while the final velocity is 210 [knots]. The flight path angle is 0 at both end points. 2. I Name I SALTY SMITY PONNY down range 473 501 544 I cross range I 404 425 453 Tab. 2 Waypoints at Denver Airport At the beginning t = 0 all three aircraft are headed towards the waypoint PONNY, while at the end their heading is prescribed by the straight line through SALTY and SMITY. 1 shows the initial and finallocations indicated by stars and circles respectively.

2). 2) is x(O) = Xo, then x(l) = A ® Xo and x(2) = A ® x(l) = A ® (A ® xo) = (A ® A) ® Xo = A2 ® Xo Instead of A ® A we simply write A2. -4 ® A ® ... ® A) ® Xo = Ak ® Xo ... k times The matrices A2, A3, ... , can be calculated directly. 3), then A2 = (max(2+2,5+3) max(2+5,5+3)) = (8 8) . 5) In terms ofthe railway example, the quantity (A2)ij can be interpreted as the maximum (with respect to I) of all connections from station Sj via station S1 to station Si. One speaks of paths of length two between the stations Sj and Si.

Exhaust velocity - equiv. 104 N nom. 42 kW (born) 2. STAGE Total mass Fuel: Mono-Hydrazin Hydrazin-thruster - eft'. 4 kg 5 N nom. 285 kW (born) Tab. 1: The spaccraft to the asteroid Lust together with the photovoltaic power production unit, the Xe-tank and the three-axes stabilization. The second stage is an autonomous mini-satellite powered by a RTG and equipped with the small hydrazin monopropellant thrusters of the attitude control system. Tab. 1 gives a survey of the single components. Because of lifetime reasons several ion-thrusters (cluster) are planned; the thrusters are operated sequential, not in parallel.

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