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By Victor G. Szebehely

First 3 paragraphs of the preface:

This interdisciplinary publication combines the astronomical and the engineering methods to these questions of house study that are often called orbit and trajectory difficulties. the hot note Astrodynamics (no connection with stellar dynamics) intends to symbolize a box which emphasizes the engineering facets of dynamical astronomy.

The program of a hugely built mathematical technology that's soundly embedded in hundreds of thousands of years of culture to the most recent en- gineering difficulties is likely one of the such a lot difficult projects to representa- tives of either fields. This booklet intends to fulfill this problem through hide- ing the main major and up to date advancements in a scientific, although on no account textbook like, demeanour. it's ready for the employee within the box with historical past in celestial mechanics and with familiarity with the engineering problems.

The chapters are prepared based on the main sensible matters of house dynamics instead of alongside operational strains. certainly, it's geared toward the dialogue, first, of normal principles, after which those are interspersed with examples.

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Example text

297 1. 923 29. 4 2. 083 11. 0 2. 206 Purchased from American Institute of Aeronautics and Astronautics C E L E S T I A L MECHANICS AND ASTRODYNAMICS Table 4 continued h Ex. 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 690 690 690 690 690 690 690 690 690 500 500 500 500 500 500 500 500 500 0 exact 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 654 638 468 642 620 407 632 606 358 457 432 256 452 432 260 452 432 267 exact -1. -1.

361712 0. 373713 0. 388760 0. 407396 0. 430354 0. 458633 0. 493620 0. 60 0. 65 0. 70 0. 75 0. 80 0. 85 0. 90 0. 95 0. 999 0. 545123 0. 600401 0. 671596 0. 765630 0. 894272 1. 079670 1. 372556 1. 933565 2. 398922 3. 659764 9. 034912 0. 537267 0. 592408 0. 663294 0. 756582 0. 883318 1. 063419 1. 336503 1. 816922 2. 152756 2. 798566 3. 981138 The logarithmic singularities of y and t at x = 1 are a direct consequence of the nonvalidity of the outer expansions at this point. It can be verified by direct calculation that these singularities cancel identically in the formulas for the uniformly valid solution given in (2.

0. 0. 0. 0. 690 690 690 690 690 690 690 690 690 500 500 500 500 500 500 500 500 500 0 exact 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 654 638 468 642 620 407 632 606 358 457 432 256 452 432 260 452 432 267 exact -1. -1. -1. -1. -1. -1. -1. -1. -1. 3. 3. 3. 3. 3. 3. 3. 3. 3. 76 76 76 76 76 76 76 76 76 77 77 77 77 77 77 77 77 77 9° 5. 5. 5. 69 5. 78 83 5. 5. 68 86 5. 87 5. 64 5. 55 14. 50 14. 2. 54 14. 3. 56 14. 3. 52 14. 2. 83 14. 3. 58 14. 3. 56 14. 3. 39 14. -1. -1. -1. -1. -1. -1.

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