- Page 1 and 2: NASA CONTRA REPORT CTOR GUIDANCE, F
- Page 3: - ..a --.
- Page 8: 110 2.1 2.1.1 2.1.2 2.1.3 2.1.3.1 2
- Page 11 and 12: . 0 i time difference between a ref
- Page 13 and 14: only line-of-sight thrusting is use
- Page 15 and 16: 2.0 STATE-OF-THE-ART The significan
- Page 17 and 18: Thus in cylindrical coordinates, th
- Page 19 and 20: In this form the equations are vali
- Page 21 and 22: For all the equations given to this
- Page 23 and 24: of inertial directions which are ta
- Page 25 and 26: which form the columns of F must be
- Page 27 and 28: Thus, the solution is written The t
- Page 29 and 30: This matrix is simply written as G(
- Page 31 and 32: The fundamental matrix for A can be
- Page 33 and 34: 2.1.5 Approximate Second Order Solu
- Page 35: where the superscript p can be eith
- Page 39 and 40: w” 2 E IOOJ- -100 - 200 AV = 400
- Page 41 and 42: cause a significant effect for rend
- Page 43 and 44: Figure 2.1 Polar Coordinate System
- Page 45 and 46: . will attain, z , can be calculate
- Page 47 and 48: This equation may now be solved for
- Page 49 and 50: If the matrix 121 model discussed'&
- Page 51 and 52: One method which can be employed (a
- Page 53 and 54: If a collision is to occur at time
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The solution to these equations are
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Fixed Range: Range-Rate Schedule Ra
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The velocity correction, SVtO) repr
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(2.17) The solutions of all of thes
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I(7) I COMPUTE c (7) =- MISS g-r -1
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0 MOO0 60000 il 20& 40&o hod00 Y (f
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Manipulation of the equations invol
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2.4.1 Optimal Stepwise Thrusting As
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Note that if it, can occur, this sc
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where F (Q) is the matrix given by
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where Since 0 and Eq. 4.23 shows th
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In contrast, the fuel optimal probl
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significantly reducing the out-of-p
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Figure 4.3 Velocity Increments to R
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If it is assumed that 4~ is constan
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Examples of the effectiveness of th
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performed using the Pontryagin Maxi
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This equation gives the optimum ste
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where 2((t) is given by the first e
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Cd&t- d&J dt I where Xc9 #II 2 % 9
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3.0 RECOMMENDED PROCEDURES In the p
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For the guidance technique which nu
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2.6 2.7 2.8 2.9 2.10 2.11 2.12 2.13
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4.20 Bakalyar, G., Continuous Thrus